Hawking radiation of the stationary Kerr–de Sitter black hole is investigated using the relativistic Hamilton–Jacobi method. Meanwhile, extending this work to a non-stationary black hole using Dirac equations and ge...Hawking radiation of the stationary Kerr–de Sitter black hole is investigated using the relativistic Hamilton–Jacobi method. Meanwhile, extending this work to a non-stationary black hole using Dirac equations and generalized tortoise coordinate transformation, we derived the locations, the temperature of the thermal radiation as well as the maximum energy of the non-thermal radiation. It is found that the surface gravity and the Hawking temperature depend on both time and different angles. An extra coupling effect is obtained in the thermal radiation spectrum of Dirac particles which is absent from thermal radiation of scalar particles. Further, the chemical potential derived from the thermal radiation spectrum of scalar particle has been found to be equal to the highest energy of the negative energy state of the scalar particle in the non-thermal radiation for the Kerr–de Sitter black hole. It is also shown that for stationary black hole space time, these two different methods give the same Hawking radiation temperature.展开更多
Based on the Mach's principle and the characteristic mass of the present universe, Mo a c3/2GHo, it is noticed that, 'rate of decrease in the laboratory fine structure ratio' is a measure of the cosmic rate of expa...Based on the Mach's principle and the characteristic mass of the present universe, Mo a c3/2GHo, it is noticed that, 'rate of decrease in the laboratory fine structure ratio' is a measure of the cosmic rate of expansion. If the observed laboratory fine structure ratio is a constant, then, independent of the cosmic red shift and CMBR observations, it can be suggested that, at present there is no cosmic acceleration. Obtained value of the present Hubble constant is 70.75 Km/sec/Mpc. If it is true that, rate of decrease in temperature is a measure of cosmic rate of expansion, then from the observed cosmic isotropy it can also be suggested that, at present there is no cosmic acceleration. At present if the characteristic mass of the universe is, Mo = c3/2GHo and if the primordial universe is a natural setting for the creation of black holes and other non-perturbative gravitational entities, it is also possible to assume that throughout its journey, the whole universe is a primordial growing and light speed rotating black hole. At any time, if cot is the angular velocity, then cosmic radius is c/ω1 and cosmic mass is c3/2Gω1 Instead of the Planck mass, initial conditions can be addressed with the Coulomb mass = Mc = √/4xeoG At present, if ω1= H0 the cosmic black hole's volume density, observed matter density and the thermal energy density are in geometric series and the geometric ratio is 1 + ln(M0 +Mc).展开更多
The theory here developed, makes use of the decomposition of matter (mass) in different spatial frequencies k’s using spatial Fourier transforms, and the posterior use of modified inverse Fourier transforms to constr...The theory here developed, makes use of the decomposition of matter (mass) in different spatial frequencies k’s using spatial Fourier transforms, and the posterior use of modified inverse Fourier transforms to construct an accurate description of the classical Newtonian gravitational field. Introducing the concept of quantization of the spatial frequency <em>k</em>, which means allowing only discrete values, such as <em>k<sub>m</sub></em>, 2<em>k<sub>m</sub></em>, 3<em>k<sub>m</sub></em>, leads to the appearance of extra gravitational force regions that occur at distances equally spaced apart in 2π/<em>k<sub>m</sub></em>. These areas of extra gravitational force decrease inscribed in an inverse of the distance envelope (1/<em>r</em>). The value of 2π/<em>k<sub>m</sub></em> can be adjusted to be of the order of kiloparsec (kpc), being this way a plausible explanation for the effect of the dark matter since this causes practically flat rotation curves for most of the galaxies. As these regions of extra gravitational force also have adjacent areas of negative values (repulsive gravitational force), it is possible to show that any mass placed in the gravitational field far from the galaxy center will acquire, on average, a null acceleration, thereby remains the “light push,” or in other words, the “mean luminosity density” between galaxies as an explanation for the accelerating expansion of the universe, today being considered mainly due to dark energy. Along with the article, it is showed that the effect of light push is sufficient to explain the expansion of the universe. The present work also explains the nonlinear behavior of gravitational fields near massive objects such as blackholes, not contradicting the theory of general relativity, instead giving a complementary description of how black holes work, even describing the gravitational field internally to it, which is not available in the GR theory.展开更多
Containing Lorentz invariance violation(LIV),a new form of the fermions dynamic equation under the background of the curved space-time of the arbitrarily accelerating black hole,is studied.Firstly,we consider the new ...Containing Lorentz invariance violation(LIV),a new form of the fermions dynamic equation under the background of the curved space-time of the arbitrarily accelerating black hole,is studied.Firstly,we consider the new form of the fermions dynamic equation with arbitrary spin containing LIV in curved space-time,and research the fermions dynamic equation with spin-1/2containing LIV.On this basis,according to the semi-classical theory and black hole quantum tunneling radiation theory,the quantum tunneling radiation of the arbitrarily accelerating Kinnersly black hole is modified correctly,and the corrected physical quantities such as black hole temperature and quantum tunneling rate are deeply discussed.The fermions dynamic equation with arbitrary spin in the arbitrarily accelerating black hole space-time and its solution are explained in detail.In order to further obtain the correction effect of the Planck scale,this article considers beyond the semi-classical theory and further obtains new expressions of the black hole temperature and tunneling radiation rate.展开更多
We study the event horizon of a rotating Bardeen black hole surrounded by perfect fluid dark matter and the black hole as a particle accelerator.The black hole is represented by four parameters:mass M,rotation paramet...We study the event horizon of a rotating Bardeen black hole surrounded by perfect fluid dark matter and the black hole as a particle accelerator.The black hole is represented by four parameters:mass M,rotation parameter a,dark matter parameterαand magnetic charge g.It is interesting that when we determine the values of magnetic charge g and dark matter parametersαwe can get a critical rotation parameter aEand then we get a contour plane withΔ=0 taking three parameters as coordinates.We also derive the effective potential of the particle and the center-of-mass(CM)energy of the two particles outside the black hole by using the motion equations of the particle in the equatorial plane of the black hole.We find that the CM energy depends not only on the rotation parameter a,but also on the parameters g andα.We discuss the CM energy for two particles colliding at the black hole horizon in the extreme and non-extreme cases,respectively.It is found that the CM energy can become arbitrarily high when the angular momentum of one of the two particles is the critical angular momentum under the background of extreme black holes and there is no such result for non-extreme black holes,because the particles do not reach the black hole horizon when the angular momentum of the particles is critical angular momentum.Therefore,we prove that the rotating Bardeen black hole surrounded by perfect fluid dark matter can be used as a particle accelerator.展开更多
It has been established that Strong Cosmic Censorship Conjecture(SCCC)is respected by an asymptotically flat black hole with charge,but violated by a charged asymptotically de Sitter black hole.We studied the instabil...It has been established that Strong Cosmic Censorship Conjecture(SCCC)is respected by an asymptotically flat black hole with charge,but violated by a charged asymptotically de Sitter black hole.We studied the instability of the Cauchy horizon for an accelerating black hole in Einstein theory conformally coupled with a scalar field.The black hole is uncharged while having inner,outer,and acceleration horizons.In the limit of vanishing acceleration,denoted by A→0,it becomes asymptotically flat and extremal,with its acceleration horizon vanishing as well.By exploring the perturbation of the massless scalar field upon the accelerating black hole,whose decay rate is governed by the quasinormal mode spectra,we show that the SCCC is violated in the near-extremal regime and also in the A→0+limit.Our result is the first observation of a black hole violating the SCCC in an almost asymptotically Minkowskian flat regime,as well as the first example of a black hole violating the SCCC with neither charge nor rotation.展开更多
In this paper, we construct rotating charged hairy black hole in(2+1) dimensions for infinitesimal black hole charge and rotation parameters. Then we consider this black hole as particle accelerator and calculate the ...In this paper, we construct rotating charged hairy black hole in(2+1) dimensions for infinitesimal black hole charge and rotation parameters. Then we consider this black hole as particle accelerator and calculate the centerof-mass energy of two colliding test particles near the rotating charged hairy black hole in(2+1) dimensions. As we expected, the center-of-mass energy has infinite value.展开更多
It has recently been pointed out that, under certain conditions, the energy of particles accelerated by black holes in the center-of-mass frame can become arbitrarily high. In this paper, we study the collision of two...It has recently been pointed out that, under certain conditions, the energy of particles accelerated by black holes in the center-of-mass frame can become arbitrarily high. In this paper, we study the collision of two particles in the case of four-dimensional charged nonrotating, extremal charged rotating and near-extremal charged rotating Kaluza-Klein black holes as well as the naked singularity case in Einstein-Maxwell-dilaton theory. We find that the center-of-mass energy for a pair of colliding particles is unlimited at the horizon of charged nonrotating Kaluza-Klein black holes, extremal charged rotating Kaluza-Klein black holes and in the naked singularity case.展开更多
The thermal radiation of the most general non-stationary black holes is discussed in this paper.The universal representatives determining the location of an event horizon and the temperature function are given.
A method with which one can calculate the entropy of a non-stationary and non-spherically symmetric black hole is suggested. This method is universal to every kind of black holes. By means of thin film model, the entr...A method with which one can calculate the entropy of a non-stationary and non-spherically symmetric black hole is suggested. This method is universal to every kind of black holes. By means of thin film model, the entropy density at every point of the event horizon is calculated first, then the total entropy is obtained through integration.展开更多
文摘Hawking radiation of the stationary Kerr–de Sitter black hole is investigated using the relativistic Hamilton–Jacobi method. Meanwhile, extending this work to a non-stationary black hole using Dirac equations and generalized tortoise coordinate transformation, we derived the locations, the temperature of the thermal radiation as well as the maximum energy of the non-thermal radiation. It is found that the surface gravity and the Hawking temperature depend on both time and different angles. An extra coupling effect is obtained in the thermal radiation spectrum of Dirac particles which is absent from thermal radiation of scalar particles. Further, the chemical potential derived from the thermal radiation spectrum of scalar particle has been found to be equal to the highest energy of the negative energy state of the scalar particle in the non-thermal radiation for the Kerr–de Sitter black hole. It is also shown that for stationary black hole space time, these two different methods give the same Hawking radiation temperature.
文摘Based on the Mach's principle and the characteristic mass of the present universe, Mo a c3/2GHo, it is noticed that, 'rate of decrease in the laboratory fine structure ratio' is a measure of the cosmic rate of expansion. If the observed laboratory fine structure ratio is a constant, then, independent of the cosmic red shift and CMBR observations, it can be suggested that, at present there is no cosmic acceleration. Obtained value of the present Hubble constant is 70.75 Km/sec/Mpc. If it is true that, rate of decrease in temperature is a measure of cosmic rate of expansion, then from the observed cosmic isotropy it can also be suggested that, at present there is no cosmic acceleration. At present if the characteristic mass of the universe is, Mo = c3/2GHo and if the primordial universe is a natural setting for the creation of black holes and other non-perturbative gravitational entities, it is also possible to assume that throughout its journey, the whole universe is a primordial growing and light speed rotating black hole. At any time, if cot is the angular velocity, then cosmic radius is c/ω1 and cosmic mass is c3/2Gω1 Instead of the Planck mass, initial conditions can be addressed with the Coulomb mass = Mc = √/4xeoG At present, if ω1= H0 the cosmic black hole's volume density, observed matter density and the thermal energy density are in geometric series and the geometric ratio is 1 + ln(M0 +Mc).
文摘The theory here developed, makes use of the decomposition of matter (mass) in different spatial frequencies k’s using spatial Fourier transforms, and the posterior use of modified inverse Fourier transforms to construct an accurate description of the classical Newtonian gravitational field. Introducing the concept of quantization of the spatial frequency <em>k</em>, which means allowing only discrete values, such as <em>k<sub>m</sub></em>, 2<em>k<sub>m</sub></em>, 3<em>k<sub>m</sub></em>, leads to the appearance of extra gravitational force regions that occur at distances equally spaced apart in 2π/<em>k<sub>m</sub></em>. These areas of extra gravitational force decrease inscribed in an inverse of the distance envelope (1/<em>r</em>). The value of 2π/<em>k<sub>m</sub></em> can be adjusted to be of the order of kiloparsec (kpc), being this way a plausible explanation for the effect of the dark matter since this causes practically flat rotation curves for most of the galaxies. As these regions of extra gravitational force also have adjacent areas of negative values (repulsive gravitational force), it is possible to show that any mass placed in the gravitational field far from the galaxy center will acquire, on average, a null acceleration, thereby remains the “light push,” or in other words, the “mean luminosity density” between galaxies as an explanation for the accelerating expansion of the universe, today being considered mainly due to dark energy. Along with the article, it is showed that the effect of light push is sufficient to explain the expansion of the universe. The present work also explains the nonlinear behavior of gravitational fields near massive objects such as blackholes, not contradicting the theory of general relativity, instead giving a complementary description of how black holes work, even describing the gravitational field internally to it, which is not available in the GR theory.
基金Supported by the National Natural Science Foundation of China under Grant No.U2031121.
文摘Containing Lorentz invariance violation(LIV),a new form of the fermions dynamic equation under the background of the curved space-time of the arbitrarily accelerating black hole,is studied.Firstly,we consider the new form of the fermions dynamic equation with arbitrary spin containing LIV in curved space-time,and research the fermions dynamic equation with spin-1/2containing LIV.On this basis,according to the semi-classical theory and black hole quantum tunneling radiation theory,the quantum tunneling radiation of the arbitrarily accelerating Kinnersly black hole is modified correctly,and the corrected physical quantities such as black hole temperature and quantum tunneling rate are deeply discussed.The fermions dynamic equation with arbitrary spin in the arbitrarily accelerating black hole space-time and its solution are explained in detail.In order to further obtain the correction effect of the Planck scale,this article considers beyond the semi-classical theory and further obtains new expressions of the black hole temperature and tunneling radiation rate.
基金the National Natural Science Foundation of China(Grant No.12065012)Yunnan Fundamental Research Projects(Grant No.202301AS070029)Yunnan High-level Talent Training Support Plan Young and Elite Talents Project(Grant No.YNWR-QNBJ-2018-360)。
文摘We study the event horizon of a rotating Bardeen black hole surrounded by perfect fluid dark matter and the black hole as a particle accelerator.The black hole is represented by four parameters:mass M,rotation parameter a,dark matter parameterαand magnetic charge g.It is interesting that when we determine the values of magnetic charge g and dark matter parametersαwe can get a critical rotation parameter aEand then we get a contour plane withΔ=0 taking three parameters as coordinates.We also derive the effective potential of the particle and the center-of-mass(CM)energy of the two particles outside the black hole by using the motion equations of the particle in the equatorial plane of the black hole.We find that the CM energy depends not only on the rotation parameter a,but also on the parameters g andα.We discuss the CM energy for two particles colliding at the black hole horizon in the extreme and non-extreme cases,respectively.It is found that the CM energy can become arbitrarily high when the angular momentum of one of the two particles is the critical angular momentum under the background of extreme black holes and there is no such result for non-extreme black holes,because the particles do not reach the black hole horizon when the angular momentum of the particles is critical angular momentum.Therefore,we prove that the rotating Bardeen black hole surrounded by perfect fluid dark matter can be used as a particle accelerator.
基金supported by the National Natural Science Foundation of China(Grant No.12005080)supported by the National Natural Science Foundation of China(Grant No.12205014)+1 种基金the Guangdong Basic and Applied Research Foundation(Grant No.217200003)the Talents Introduction Foundation of Beijing Normal University(Grant No.310432102)。
文摘It has been established that Strong Cosmic Censorship Conjecture(SCCC)is respected by an asymptotically flat black hole with charge,but violated by a charged asymptotically de Sitter black hole.We studied the instability of the Cauchy horizon for an accelerating black hole in Einstein theory conformally coupled with a scalar field.The black hole is uncharged while having inner,outer,and acceleration horizons.In the limit of vanishing acceleration,denoted by A→0,it becomes asymptotically flat and extremal,with its acceleration horizon vanishing as well.By exploring the perturbation of the massless scalar field upon the accelerating black hole,whose decay rate is governed by the quasinormal mode spectra,we show that the SCCC is violated in the near-extremal regime and also in the A→0+limit.Our result is the first observation of a black hole violating the SCCC in an almost asymptotically Minkowskian flat regime,as well as the first example of a black hole violating the SCCC with neither charge nor rotation.
文摘In this paper, we construct rotating charged hairy black hole in(2+1) dimensions for infinitesimal black hole charge and rotation parameters. Then we consider this black hole as particle accelerator and calculate the centerof-mass energy of two colliding test particles near the rotating charged hairy black hole in(2+1) dimensions. As we expected, the center-of-mass energy has infinite value.
基金Supported by NSFC(11575202,11205048)Foundation for Young Key Teacher of Henan Normal University+1 种基金Cuiying Programme of Lanzhou University(225000-582404)Fundamental Research Fund for Physics and Mathematic of Lanzhou University(LZULL200911)
文摘It has recently been pointed out that, under certain conditions, the energy of particles accelerated by black holes in the center-of-mass frame can become arbitrarily high. In this paper, we study the collision of two particles in the case of four-dimensional charged nonrotating, extremal charged rotating and near-extremal charged rotating Kaluza-Klein black holes as well as the naked singularity case in Einstein-Maxwell-dilaton theory. We find that the center-of-mass energy for a pair of colliding particles is unlimited at the horizon of charged nonrotating Kaluza-Klein black holes, extremal charged rotating Kaluza-Klein black holes and in the naked singularity case.
基金Project supported by the National Natural Science Foundation of China
文摘The thermal radiation of the most general non-stationary black holes is discussed in this paper.The universal representatives determining the location of an event horizon and the temperature function are given.
文摘A method with which one can calculate the entropy of a non-stationary and non-spherically symmetric black hole is suggested. This method is universal to every kind of black holes. By means of thin film model, the entropy density at every point of the event horizon is calculated first, then the total entropy is obtained through integration.