黑洞的研究里边,最奇特的发现莫过于其热力学性质。黑洞是个热力学物体,可以谈温度,谈熵。本文采用通行的欧氏做法(Euclidean formulation),计算四维反德西特时空(anti-de Sitter spacetime)里施瓦西黑洞(Schwarzschild black hole)最基本的热力学量:温度、熵和自由能。主要参考 Hawking 与 Page 两人 1983 年的文章Thermo...
^Schwarzschild Black Hole in Anti-De Sitter Space https://arxiv.org/abs/1711.02744 ^因为是负曲率,所以是所谓的罗巴切夫斯基曲面;熟悉数学史的同学可能知道这一名称的由来;而我们的时空——渐近德西特时空——对应黎曼曲面。 ^不可能说我悠悠闲闲看着视界朝我过来,有大把的时间吃着火锅唱着歌,直到无穷远时间之...
Mezzalira, "Fermionic Wigs for AdS-Schwarzschild Black Holes," arXiv:1207.0686 [hep-th].L.G.C. Gentile, P.A. Grassi, A. Mezzalira, Fermionic Wigs for AdS-Schwarzschild black holes, J. High Energy Phys. 1310 (2013) 065, arXiv:1207.0686 [hep-th]....
所以不同的观测者将看到不同的温度,这个结果也是合乎情理的,因为在Minkowski空间要看到温度必须要加速,那么联系到能量的一些关系,越大的加速度应该要看到越高的温度。类似的,对于Schwarzschild的黑洞,在视界附近有一样的结构ds2=−ϵ2dt2+16M2dϵ2+4M2dΩ2所以看到的温度为T=18πM。
Schwarzschild black holeNoether symmetriesconservation lawsequation of motionscosmological constantquintessence parameterThe field of point particle dynamics is correlated with the particle dynamics around a black hole, and one can initiate the investigation of a more complex motion of extended bodies/...
F. M. Haehl, "The Schwarzschild-Black String AdS Soliton: Instability and Holographic Heat Transport", Class.Quant.Grav. 30 (2013) 055002, 1210.5763.F. M. Haehl, `The Schwarzschild-Black String AdS Soliton: Instability and Holographic Heat Transport', Class. Quant. Grav. 30 (2013) 055002,...
Further we find that the constant curvature black hole spacetime is just the “bubble of nothing” resulting from Schwarzschild-AdS black holes when the mass parameter of the latter vanishes. Publication: Physics Letters B Pub Date: September 2002 DOI: 10.1016/S0370-2693(02)0...
Phase transition and thermodynamical geometry of Reissner-Nordström-AdS black holes in extended phase space 2015, Physical Review D - Particles, Fields, Gravitation and Cosmology Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in AdS<inf>5</inf> × S5 spacetime 2015,...
By rephrasing the radial Klein–Gordon equation for a scalar f i eld on anti-de Sit-ter (AdS) Schwarzschild black hole background in terms of an auxiliary f i eld that satisf i es aSchrödinger equation, we demonstrate that the properties of the photon sphere play an im-portant role ...
In this chapter, we compute thermodynamic quantities for the Schwarzschild-AdS black hole, from which one can get thermodynamic quantities of the strongly-coupled \\({\\fancyscript{N}}=4\\) super-Yang-Mills theory. We also compare the results with the free gas result....