In this paper, we intend to consider a kind of nonlinear Klein-Gordon equation coupled with Born-Infeld theory. By using critical point theory and the method of Nehari manifold, we obtain two existing results of infin...In this paper, we intend to consider a kind of nonlinear Klein-Gordon equation coupled with Born-Infeld theory. By using critical point theory and the method of Nehari manifold, we obtain two existing results of infinitely many high-energy radial solutions and a ground-state solution for this kind of system, which improve and generalize some related results in the literature.展开更多
We here explore black holes in the third order Lovelock gravity coupling with nonlinear Born-Infeld electro- magnetic field. Considering special second and third order coefficients （＆g = 363 = a2）, we analyze the t...We here explore black holes in the third order Lovelock gravity coupling with nonlinear Born-Infeld electro- magnetic field. Considering special second and third order coefficients （＆g = 363 = a2）, we analyze the thermodynamics of third order Lovelock-Born-Infeld black holes and, in 7-dimensional AdS space-time, discuss the stability of black holes in different event horizon structures. We find that the cosmological constant A plays an important role in the distribution of black hole stable regions.展开更多
Dual actions with respect to U(1) gauge fields for the Born-Infeld and Dp-brane theories are reexamined.Taking into account an additional condition,i.e.a corollary to the field equation of the auxiliary metric,one obt...Dual actions with respect to U(1) gauge fields for the Born-Infeld and Dp-brane theories are reexamined.Taking into account an additional condition,i.e.a corollary to the field equation of the auxiliary metric,one obtainsan alternative dual action that does not involve the infinite series in the auxiliary metric given by [M.Abou Zeid andC.M.Hull,Phys.Lett.B 428 (1998) 277],but just picks out the first term from the series formally.New effectiveinteractions of the theories are revealed.That is,the new dual action gives rise to an effective interaction in terms ofone interaction term rather than infinitely many terms of different (higher) orders of interactions physically.However,the price paid for eliminating the infinite series is that the new action is not quadratic but highly nonlinear in the Hodgedual of a (p-1)-form field strength.This non-linearity is inevitable under the requirement that the two dual actionsare equivalent.展开更多
This paper studies phantom linear scalar field （LSF） and phantom non-linear Born-Infeld （NLBI） scalar field with square potential of the form V（Ф） =1/2m^2Ф^2. The equation of state parameter w（z）, and evolut...This paper studies phantom linear scalar field （LSF） and phantom non-linear Born-Infeld （NLBI） scalar field with square potential of the form V（Ф） =1/2m^2Ф^2. The equation of state parameter w（z）, and evolution of scale factor a（t） in both phantom LSF and phantom NLBI scalar model are explored. The age of universe Hot and the transition redshift Z are obtained. The Gold data set of 157-SN-Ia is used to constrain parameters of the two models by numerical calculation. The phantom LSF is slightly better than the phantom NLBI type scalar field model for a large m. Although a smaller m corresponding to a slower rolling of field Ф better fits the observation data, the difference between phantom NLBI scalar field and phantom LSF is not distinct in this case.展开更多
Based on the Lagrangian action density under Born-Infeld type dynamics and motivated by the one-dimensional prescribed mean curvature equation,we investigate the polynomial function model in Born-Infeld theory in this...Based on the Lagrangian action density under Born-Infeld type dynamics and motivated by the one-dimensional prescribed mean curvature equation,we investigate the polynomial function model in Born-Infeld theory in this paper with the form of-([10α(φ′)^(2)]φ′)′=λf(φ(x)),whereλ>0 is a real parameter,f∈C 2(0,+∞)is a nonlinear function.We are interested in the exact number of positive solutions of the above nonlinear equation.We specifically develop for the problem combined with a careful analysis of a time-map method.展开更多
In this work, we use the Bogning-Djeumen Tchaho-Kofané method to look for all solutions of shape Sechn- of the modified KdV and Born-Infeld Equations. n being a real number, we obtain the soliton solutions when n...In this work, we use the Bogning-Djeumen Tchaho-Kofané method to look for all solutions of shape Sechn- of the modified KdV and Born-Infeld Equations. n being a real number, we obtain the soliton solutions when n is positive and the non soliton solutions when n is negative.展开更多
Quasinormal modes(QNMs)for massless and massive Dirac perturbations of Born-Infeld black holes(BHs)in higher dimensions are investigated.Solving the corresponding master equation in accordance with hypergeometric func...Quasinormal modes(QNMs)for massless and massive Dirac perturbations of Born-Infeld black holes(BHs)in higher dimensions are investigated.Solving the corresponding master equation in accordance with hypergeometric functions and the QNMs are evaluated.We discuss the relationships between QNM frequencies and spacetime dimensions.Meanwhile,we also discuss the stability of the Born-Infeld BH by calculating the temporal evolution of the perturbation field.Both the perturbation frequencies and the decay rate increase with increasing dimension of spacetime n.This shows that the Born-Infeld BHs become more and more unstable at higher dimensions.Furthermore,the traditional finite difference method is improved,so that it can be used to calculate the massive Dirac field.We also elucidate the dynamic evolution of Born-Infeld BHs in a massive Dirac field.Because the number of extra dimensions is related to the string scale,there is a relationship between the spacetime dimension n and the properties of Born-Infeld BHs that might be advantageous for the development of extra-dimensional brane worlds and string theory.展开更多
We give the Buchdahl stability bound in Eddington-inspired Born-Infeld(EiBI)gravity.We show that this bound depends on an energy condition controlled by the model parameter K.From this bound,we can constrain κ≤10~8 ...We give the Buchdahl stability bound in Eddington-inspired Born-Infeld(EiBI)gravity.We show that this bound depends on an energy condition controlled by the model parameter K.From this bound,we can constrain κ≤10~8 m^2 if a neutron star with a mass around 3 M is observed in the future.In addition,to avoid the potential pathologies in EiBI,a Hagedorn-like equation of state associated with κ at the center of a compact star is inevitable,which is similar to the Hagedorn temperature in string theory.展开更多
The tunneling radiation of particles from black holes in Lovelock-Born-Infeld（LBI） gravity is studied by using the Parikh-Wilczek（PW） method,and the emission rate of a particle is calculated.It is shown that the e...The tunneling radiation of particles from black holes in Lovelock-Born-Infeld（LBI） gravity is studied by using the Parikh-Wilczek（PW） method,and the emission rate of a particle is calculated.It is shown that the emission spectrum deviates from the purely thermal spectrum but is consistent with an underlying unitary theory.Compared to the conventional tunneling rate related to the increment of black hole entropy,the entropy of the black hole in LBI gravity is obtained.The entropy does not obey the area law unless all the Lovelock coefficients equal zero,but it satisfies the first law of thermodynamics and is in accordance with earlier results.It is distinctly shown that the PW tunneling framework is related to the thermodynamic laws of the black hole.展开更多
In this paper,the Joule-Thomson expansion of Born-Infeld AdS black holes is studied in the extended phase space,where the cosmological constant is identified with the pressure.The Joule-Thomson coefficient,the inversi...In this paper,the Joule-Thomson expansion of Born-Infeld AdS black holes is studied in the extended phase space,where the cosmological constant is identified with the pressure.The Joule-Thomson coefficient,the inversion curves and the isenthalpic curves are discussed in detail using a 4-dimensional black hole.The critical point of a Born-Infeld black hole is depicted with varying parameter β and the charge Q.In T-P plane,the inversion temperature curves and isenthalpic curves are obtained with different parameter β and charge Q.We find that the missing negative slope is still conserved in Born-Infeld black holes.We also extend our discussion to arbitrary dimension higher than 4.The critical temperature and the minimum of inversion temperature are compared.The ratio is asymptotically 1/2 as Q increases or β→∞ with D=4 ,and reproduces previous results at higher dimensions.展开更多
In this study,we examine the laws of thermodynamics and the weak cosmic censorship conjecture in the normal and extended phase spaces of Born-Infeld-anti-de Sitter black holes by considering a charged particle absorpt...In this study,we examine the laws of thermodynamics and the weak cosmic censorship conjecture in the normal and extended phase spaces of Born-Infeld-anti-de Sitter black holes by considering a charged particle absorption.In the normal phase space,the first and second laws of thermodynamics as well as the weak cosmic censorship are still valid.However,in the extended phase space,the second law of thermodynamics is violated for double-horizon black holes and part of single-horizon black holes.The first law of thermodynamics and the weak cosmic censorship conjecture are still valid for all types of black holes.In addition,we found that the shift of the metric function,which determines the locations of the horizons,takes the same form at the minimum point in both the normal and extended phase spaces,indicating that the weak cosmic censorship conjecture is independent of the thermodynamic phase space.展开更多
文摘In this paper, we intend to consider a kind of nonlinear Klein-Gordon equation coupled with Born-Infeld theory. By using critical point theory and the method of Nehari manifold, we obtain two existing results of infinitely many high-energy radial solutions and a ground-state solution for this kind of system, which improve and generalize some related results in the literature.
基金Supported by National Natural Science Foundation of China under Grant No. 10875060
文摘We here explore black holes in the third order Lovelock gravity coupling with nonlinear Born-Infeld electro- magnetic field. Considering special second and third order coefficients （＆g = 363 = a2）, we analyze the thermodynamics of third order Lovelock-Born-Infeld black holes and, in 7-dimensional AdS space-time, discuss the stability of black holes in different event horizon structures. We find that the cosmological constant A plays an important role in the distribution of black hole stable regions.
基金Supported by the National Natural Science Foundation of China under Grant No.10675061the Doctoral Foundation of the Ministry of Education of China under Grant No.20060055006
文摘Dual actions with respect to U(1) gauge fields for the Born-Infeld and Dp-brane theories are reexamined.Taking into account an additional condition,i.e.a corollary to the field equation of the auxiliary metric,one obtainsan alternative dual action that does not involve the infinite series in the auxiliary metric given by [M.Abou Zeid andC.M.Hull,Phys.Lett.B 428 (1998) 277],but just picks out the first term from the series formally.New effectiveinteractions of the theories are revealed.That is,the new dual action gives rise to an effective interaction in terms ofone interaction term rather than infinitely many terms of different (higher) orders of interactions physically.However,the price paid for eliminating the infinite series is that the new action is not quadratic but highly nonlinear in the Hodgedual of a (p-1)-form field strength.This non-linearity is inevitable under the requirement that the two dual actionsare equivalent.
基金Project supported by the National Natural Science Foundation of China （Grant Nos.10573012, 10575068）, and the Shanghai Municipal Science and Technology Commission （Grant No.04dz05905）
文摘This paper studies phantom linear scalar field （LSF） and phantom non-linear Born-Infeld （NLBI） scalar field with square potential of the form V（Ф） =1/2m^2Ф^2. The equation of state parameter w（z）, and evolution of scale factor a（t） in both phantom LSF and phantom NLBI scalar model are explored. The age of universe Hot and the transition redshift Z are obtained. The Gold data set of 157-SN-Ia is used to constrain parameters of the two models by numerical calculation. The phantom LSF is slightly better than the phantom NLBI type scalar field model for a large m. Although a smaller m corresponding to a slower rolling of field Ф better fits the observation data, the difference between phantom NLBI scalar field and phantom LSF is not distinct in this case.
基金Supported by National Natural Science Foundation of He’nan Province of China(Grant No.222300420416)National Natural Science Foundation of China(Grant Nos.11471099,11971148)Graduate Talents Program of Henan University(Grant No.SYLYC2022078).
文摘Based on the Lagrangian action density under Born-Infeld type dynamics and motivated by the one-dimensional prescribed mean curvature equation,we investigate the polynomial function model in Born-Infeld theory in this paper with the form of-([10α(φ′)^(2)]φ′)′=λf(φ(x)),whereλ>0 is a real parameter,f∈C 2(0,+∞)is a nonlinear function.We are interested in the exact number of positive solutions of the above nonlinear equation.We specifically develop for the problem combined with a careful analysis of a time-map method.
文摘In this work, we use the Bogning-Djeumen Tchaho-Kofané method to look for all solutions of shape Sechn- of the modified KdV and Born-Infeld Equations. n being a real number, we obtain the soliton solutions when n is positive and the non soliton solutions when n is negative.
基金Supported by Natural Science Foundation Project of Qinghai Office of Science and Technology(2019-ZJ-973Q,2019-ZJ-A10)National Natural Science Foundation of China(11873001)。
文摘Quasinormal modes(QNMs)for massless and massive Dirac perturbations of Born-Infeld black holes(BHs)in higher dimensions are investigated.Solving the corresponding master equation in accordance with hypergeometric functions and the QNMs are evaluated.We discuss the relationships between QNM frequencies and spacetime dimensions.Meanwhile,we also discuss the stability of the Born-Infeld BH by calculating the temporal evolution of the perturbation field.Both the perturbation frequencies and the decay rate increase with increasing dimension of spacetime n.This shows that the Born-Infeld BHs become more and more unstable at higher dimensions.Furthermore,the traditional finite difference method is improved,so that it can be used to calculate the massive Dirac field.We also elucidate the dynamic evolution of Born-Infeld BHs in a massive Dirac field.Because the number of extra dimensions is related to the string scale,there is a relationship between the spacetime dimension n and the properties of Born-Infeld BHs that might be advantageous for the development of extra-dimensional brane worlds and string theory.
基金Supported in part by National Center for Theoretical Sciences and Mo ST(Mo ST-104-2112-M-007-003-MY3 and Mo ST-107-2119-M-007-013-MY3)Academia Sinica Career Development Award Program(AS-CDA-105-M06)
文摘We give the Buchdahl stability bound in Eddington-inspired Born-Infeld(EiBI)gravity.We show that this bound depends on an energy condition controlled by the model parameter K.From this bound,we can constrain κ≤10~8 m^2 if a neutron star with a mass around 3 M is observed in the future.In addition,to avoid the potential pathologies in EiBI,a Hagedorn-like equation of state associated with κ at the center of a compact star is inevitable,which is similar to the Hagedorn temperature in string theory.
基金Supported by Guangdong Natural Science Foundation(2016A030307051,2015A030313789)
文摘The tunneling radiation of particles from black holes in Lovelock-Born-Infeld（LBI） gravity is studied by using the Parikh-Wilczek（PW） method,and the emission rate of a particle is calculated.It is shown that the emission spectrum deviates from the purely thermal spectrum but is consistent with an underlying unitary theory.Compared to the conventional tunneling rate related to the increment of black hole entropy,the entropy of the black hole in LBI gravity is obtained.The entropy does not obey the area law unless all the Lovelock coefficients equal zero,but it satisfies the first law of thermodynamics and is in accordance with earlier results.It is distinctly shown that the PW tunneling framework is related to the thermodynamic laws of the black hole.
基金Supported by National Natural Science Foundation of China(11947408)。
文摘In this paper,the Joule-Thomson expansion of Born-Infeld AdS black holes is studied in the extended phase space,where the cosmological constant is identified with the pressure.The Joule-Thomson coefficient,the inversion curves and the isenthalpic curves are discussed in detail using a 4-dimensional black hole.The critical point of a Born-Infeld black hole is depicted with varying parameter β and the charge Q.In T-P plane,the inversion temperature curves and isenthalpic curves are obtained with different parameter β and charge Q.We find that the missing negative slope is still conserved in Born-Infeld black holes.We also extend our discussion to arbitrary dimension higher than 4.The critical temperature and the minimum of inversion temperature are compared.The ratio is asymptotically 1/2 as Q increases or β→∞ with D=4 ,and reproduces previous results at higher dimensions.
基金Supported by the National Natural Science Foundation of China(11875095,11675140,11705005)Basic Research Project of Science and Technology Committee of Chongqing(cstc2018jcyjA2480)。
文摘In this study,we examine the laws of thermodynamics and the weak cosmic censorship conjecture in the normal and extended phase spaces of Born-Infeld-anti-de Sitter black holes by considering a charged particle absorption.In the normal phase space,the first and second laws of thermodynamics as well as the weak cosmic censorship are still valid.However,in the extended phase space,the second law of thermodynamics is violated for double-horizon black holes and part of single-horizon black holes.The first law of thermodynamics and the weak cosmic censorship conjecture are still valid for all types of black holes.In addition,we found that the shift of the metric function,which determines the locations of the horizons,takes the same form at the minimum point in both the normal and extended phase spaces,indicating that the weak cosmic censorship conjecture is independent of the thermodynamic phase space.
