Lovelock-Born-Infeld黑洞及其热力学研究
发布时间：2019-03-19 09:00
【摘要】：宇宙学原理提出,在宇宙尺度上宇宙是均匀且各向同性的。暗物质和暗能量占据宇宙总能量的绝大部分,黑洞作为暗物质的一种理论模型备受关注。超弦理论/M理论的研究中Lovelock引力作用量产生对诸多问题的修正,由此,高维时空引力理论引起物理学家的深入研究。 本文中,我们讨论高维时空的Lovelock引力：三阶Lovelock作用量耦合非线性的Born-Infeld电磁场的情形,得出相应的黑洞解并计算其热力学性质,讨论不同时空结构下的7维渐近AdS时空中黑洞的稳定性；利用相关辐射,计算黑洞Hawking辐射的相关性,讨论信息丢失问题。 首先,利用度规代入作用量变分的方法求得引力场方程和电磁场方程,给出Lovelock-Born-Infeld黑洞的静态球对称解。其次,在Lovelock引力中二阶、三阶系数满足3α3=α22=a2的情况下计算得出黑洞的热力学性质；在k=0,1,-1的不同时空结构下的7维AdS时空中,极端黑洞存在于k=0,1的AdS时空中；黑洞的稳定性讨论得出,参数α,β,ι均对黑洞的热容产生一定的影响,但并不影响函数的变化趋势,在k=0时,黑洞始终是局域稳定的,在k≠0时当黑洞的质量大于某一值时,黑洞的热容恒为正值,黑洞有可能稳定存在,且在k=-1时,有可能存在极小质量的稳定黑洞。最后,我们给出熵的量子修正形式,利用半经典的辐射几率公式,计算得到依次辐射的两个粒子的相关度并不为零,黑洞的Hawking辐射是相关的；一个完整过程的黑洞熵计算得出,相关辐射的Lovelock-Born-Infeld黑洞辐射中不存在信息丢失问题。
[Abstract]:Cosmological principles suggest that the universe is homogeneous and isotropic on the cosmic scale. Dark matter and dark energy account for most of the total energy of the universe. Black hole as a theoretical model of dark matter has attracted much attention. In the study of superstring theory / M theory, the Lovelock gravitational action brings about the correction to many problems. Therefore, the theory of high dimensional spatiotemporal gravitation has led to the further study of physicists. In this paper, we discuss the Lovelock gravitation of high-dimensional spacetime: the third-order Lovelock action coupled with nonlinear Born-Infeld electromagnetic field, and obtain the corresponding solution of black hole and calculate its thermodynamic properties. The stability of black holes in 7-dimensional asymptotic AdS spacetime with different space-time structures is discussed. The correlation of black hole Hawking radiation is calculated by using correlation radiation, and the problem of information loss is discussed. Firstly, the gravitational field equation and the electromagnetic field equation are obtained by using the metrometric method of action variation, and the static spherically symmetric solution of the Lovelock-Born-Infeld black hole is given. Secondly, the thermodynamic properties of black holes are calculated when the second order and third order coefficients satisfy 3 伪 3 = 伪 22=a2 in Lovelock gravitation, and in the 7-dimensional AdS spacetime with different space-time structures of k ~ 0, 1, the extreme black hole exists in the AdS time-space of k ~ (?) 0, ~ (1), and the black hole exists in the AdS-time space-time of k ~ (?) 0, ~ (1). The stability of the black hole shows that the parameters 伪, 尾 and 1 all have a certain effect on the heat capacity of the black hole, but it does not affect the trend of the change of the function. The black hole is always locally stable at k ~ 0. When k 鈮，
本文编号：2443383
[Abstract]:Cosmological principles suggest that the universe is homogeneous and isotropic on the cosmic scale. Dark matter and dark energy account for most of the total energy of the universe. Black hole as a theoretical model of dark matter has attracted much attention. In the study of superstring theory / M theory, the Lovelock gravitational action brings about the correction to many problems. Therefore, the theory of high dimensional spatiotemporal gravitation has led to the further study of physicists. In this paper, we discuss the Lovelock gravitation of high-dimensional spacetime: the third-order Lovelock action coupled with nonlinear Born-Infeld electromagnetic field, and obtain the corresponding solution of black hole and calculate its thermodynamic properties. The stability of black holes in 7-dimensional asymptotic AdS spacetime with different space-time structures is discussed. The correlation of black hole Hawking radiation is calculated by using correlation radiation, and the problem of information loss is discussed. Firstly, the gravitational field equation and the electromagnetic field equation are obtained by using the metrometric method of action variation, and the static spherically symmetric solution of the Lovelock-Born-Infeld black hole is given. Secondly, the thermodynamic properties of black holes are calculated when the second order and third order coefficients satisfy 3 伪 3 = 伪 22=a2 in Lovelock gravitation, and in the 7-dimensional AdS spacetime with different space-time structures of k ~ 0, 1, the extreme black hole exists in the AdS time-space of k ~ (?) 0, ~ (1), and the black hole exists in the AdS-time space-time of k ~ (?) 0, ~ (1). The stability of the black hole shows that the parameters 伪, 尾 and 1 all have a certain effect on the heat capacity of the black hole, but it does not affect the trend of the change of the function. The black hole is always locally stable at k ~ 0. When k 鈮，
本文编号：2443383
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