Quantum radiation of non-stationary Kerr-Newman-de Sitter black hole

By introducing a new tortoise coordinate transformation, we investigate the quantum thermal and non-thermal radiations of a non-stationary Kerr-Newman-de Sitter black hole. The accurate location and radiate temperature of the event horizon as well as the maximum energy of the non-thermal radiation are derived. It is shown that the radiate temperature and the maximum energy are related to not only the evaporation rate, but also the shape of the event horizon, moreover the maximum energy depends on the electromagnetic potential. Finally, we use the results to reduce the non-stationary Kerr-Newman black hole, the non-stationary Kerr black hole, the stationary Kerr-Newman-de Sitter black hole, and the static Schwarzshild black hole.

The quantum tunnelling radiation of Schwarzschild de Sitter black hole with a global monopole

Applying Parikh＇s quantum tunnelling method, this paper has studied the quantum tunnelling radiation of Schwarzschild de Sitter black hole with a global monopole. The result shows that the tunnelling rates at the event horizon and the cosmological horizon are related to Bekenstein-Hawking entropy and the derived radiation spectrum is not precisely thermal when considering energy conservation and self-gravitation interaction.

A new method of researching fermion tunneling from the Vaidya-Bonner de Sitter black hole

Using the general tortoise coordinate transformation, we research the fermion tunneling of the Vaidya-Bonner de Sitter black hole via a semi-classical method and finally obtain the right surface gravity, Hawking temperature and tunneling rate near the event horizon and cosmical horizon.

Quantum Tunneling Radiation of Reissner-Nordstrom de Sitter Black Hole with a Global Monopole

Applying Parikh＇s quantum tunneling model, we study the quantum tunneling radiation of Reissne- Nordstrom de Sitter black hole with a global monopole. The result shows that the tunneling rates at the event horizon and the cosmic horizon are related to Bekenstein-Hawking entropy if we take the energy conservation into consideration, and the true radiate spectrum is not precisely thermal.

对高维Schwarzschild-de Sitter黑洞视界处Fermions量子隧穿辐射率的修正

根据Lorentz-breaking理论对弦量场作用量进行修正并应用变分原理得到了高维Schwarzschild-de Sitter黑洞时空中的费米子动力学方程。通过对此动力学方程的研究得到了高维Schwarzschild-de Sitter黑洞事件视界处和宇宙视界处的量子隧穿率的修正形式,从而研究了此黑洞事件视界处和宇宙视界处的修正形式的Hawking温度和Bekenstein-Hawking熵的新的表达式。在得到研究结果的基础之上,文中最后还对研究方法和结论进行了讨论。

Quantization of Horizon Area of Kerr–Newman–de Sitter Black Hole

Using the adiabatic invariant action and applying the Bohr–Sommerfeld quantization rule and first law of black hole thermodynamics, a study of the quantization of the entropy and horizon area of a Kerr–Newman–de Sitter black hole is carried out. The same entropy spectrum is obtained in two different coordinate systems. It is also observed that the spacing of the entropy spectrum is independent of the black hole parameters. Also, the corresponding quantum of horizon area is in agreement with the results of Bekenstein.

Hawking radiation from the dilaton-(anti) de Sitter black hole via covariant anomaly

Adopting the anomaly cancellation method, initiated by Robinson and Wilczek recently, this paper discusses Hawking radiation from the dilaton-（anti） de Sitter black hole. To save the underlying gauge and general covariance, it introduces covariant fluxes of gauge and energy-momentum tensor to cancel the gauge and gravitational anomalies. The result shows that the introduced compensating fluxes are equivalent to those of a 2-dimensional blackbody radiation at Hawking temperature with appropriate chemical potential.

Hawking radiation of stationary and non-stationary Kerr–de Sitter black holes

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.

Thermodynamics of DBI Black Holes in Anti-de Sitter Spacetime

Through the gauge field theory, we obtain the solution of the DBI-AdS black hole, In the meantime, according to the relations between the action and the grand partition function, we obtain the grand partition function in the DBI-AdS black hole. The temperature and the potential of the DBI-AdS black hole are gained from differential of the grand partition function. With the thermodynamic relations, other thermodynamics are also obtained. The solution and the thermodynamics of the DBI-AdS black hole are turned out that they can reduce to the case of a charged black hole in four-dimensional spacetimes.

Hawking Radiation from Horizons of Reissner-Nordstrm de Sitter Black Hole with a Global Monopole via Anomalies

Hawking radiation from cosmological horizon and event horizon of the Reissner-Nordstrom de Sitter black hole with a global monopole is studied via a new method that was propounded by Robinson and Wilzek and elaborated by Banerjee and Kulkarni. The results show that the gauge current and energy-momentum tensor fluxes, which required keeping gauge covariance and general coordinate invariance at the quantum level in the effective field theory, are exactly equivalent to those of Hawking radiation from the event horizon and the cosmological horizon, respectively.

Dilaton Black Hole Tunneling Radiation in de Sitter Universe

The Hawking radiation via tunneling from the dilaton black hole in de Sitter universe is investigated using Parikh Wilczek＇s method. We show that if the self-gravitational interaction and energy conservation are taken into account, the modified radiation spectrum deviates from exact thermal spectrum and satisfies the unitary theory.

Thermodynamic properties of Reissner-Nordstrm-de Sitter quintessence black holes

The mass,electric charge,and temperature of black holes in the Reissner-Nordstrm-de Sitter quintessence（RN-dSQ） spacetime are obtained.The heat capacities of the RN-dSQ black holes for certain electric charges and masses are analyzed.The electrostatic energy and dark energy in the RN-dSQ black holes are also calculated.

磁荷对Hayward-Anti-de Sitter黑洞的全息互信息的影响

Hayward黑洞是爱因斯坦引力非线性耦合一个携带磁荷的电磁场的解析解,是非线性磁单极子引力场的简并结构。一般情况下,黑洞的内部会存在奇点,而“非奇异”黑洞是一种内部没有奇点的黑洞。Hayward黑洞属于非奇异黑洞,此规则黑洞的对称性由磁势决定,带磁荷和不带磁荷的黑洞具有不同的微观结构。利用纠缠熵讨论磁荷对非奇异Hayward-Anti-de Sitter黑洞中全息互信息的影响。结果表明,随着条带宽度(子区域)的增加,2个渐进子系统纠缠增大,且全息互信息随磁荷的增加而降低。除此之外,存在临界磁荷使得全息互信息为零,此时对偶的子区域之间不存在纠缠,磁荷取不同值时,全息互信息消失的条带宽度临界值是不同的。

A simpler method for researching fermions tunneling from black holes

A new simpler mathematic method is proposed to study fermions tunneling from black holes. According to this method, by using semiclassical approximation theory, it simplifies the Dirac equation of curved spacetime and then the relationship of the gamma matrix and the component of contravariant metric is considered in order to transform the set of difficult quantum equations into a simple equation. Finally, the fermion tunneling and Hawking radiation of black holes are obtained. The method is very effective and simple, and we will take the Schwarzschild black hole with global monopole and the higher-dimensional Reissner-Nordstrom de Sitter black hole as two examples to show the fact.

de Sitter时空背景下的熵

从deSitter时空背景下的Klein Gordon方程出发 ,利用brick wall方法计算了宇宙的自由能和熵 .结果表明 ,宇宙的熵与Schwarzschild黑洞一样 ,也为视界面积的 1/ 4 .可见 ,brick wall方法具有更广泛的适用性 ,不但可以计算黑洞的熵 ,而且可以计算宇宙的熵 .

非热平衡Reissner-Nordstrom-de Sitter黑洞的熵

从Reissner Nordstrom deSitter时空背景下的Klein Gordon方程出发 ,利用brick wall方法计算了黑洞的自由能和熵 .结果表明 ,这种黑洞的熵为它的外视界和宇宙视界面积之和的 1/4 ,与人们预期的结果相符 .由此可见 ,渐近deSitter时空中的黑洞熵除了黑洞视界面的贡献之外 ,还应包括宇宙视界面的贡献 .这从一定程度上揭示了黑洞熵与视界面积之间的内在联系 ,也更进一步地揭示了brick wall模型的本质 .

非热平衡Schwarzschild-de Sitter黑洞的熵

从 Schwarzschild- de Sitter时空背景下的 Klein- Gordon方程出发 ,利用 brick- wall方法计算了黑洞的自由能和熵 .这种黑洞由于存在两个视界面 ,而且它们的温度不相同 ,因此用一般方法计算熵存在着一定的困难 .采用改进的 brick- wall模型 ,认为自由能和熵主要来自于视界附近薄层的贡献 ,很好地解决了这一困难 ,并得到了满意的结果 .结果表明 ,这种黑洞的熵为它的两个视界面积之和的 1 /4,与人们预期的结果相符 .由此可见 ,渐近 de Sitter时空中的黑洞熵除了黑洞视界面的贡献之外 ,还应包括宇宙视界面的贡献 .这从一定程度上揭示了黑洞熵与视界面积之间的内在联系 ,也更进一步地揭示了 brick-

用膜模型计算Schwarzschild -de Sitter黑洞的熵

用改进的brickwall模型———膜模型计算了Schwarzschild deSitter黑洞的熵 .把黑洞视界和宇宙视界附近一薄层物质场的熵分别看做各自视界的熵 ,计算结果与面积定理完全一致 .

Schwarzschild de Sitter黑洞的量子隧穿辐射

作者在研究Schwarzschild de Sitter黑洞纯热谱的基础上,又采用量子隧穿方法对该黑洞的隧穿辐射进行研究.结果表明,Schwarzschild de Sitter黑洞视界处的粒子隧穿率与Beken-stein-Hawking熵有关,证实其辐射谱不再是严格的纯热谱.

Schwarzschild-anti-de Sitter背景标量场的熵

应用 Schwarzschild- anti- de Sitter时空背景下的 Klein- Gordon方程 ,采用薄层模型方法 ,计算了黑洞的自由能和熵 ,得到了黑洞熵为它的事件视界和宇宙视界面积之和的 1/ 4 ,与前人预期的结果相符 。