Gravitational-thermodynamic instabilities of isothermal spheres in dS and AdS
Gravitational-thermodynamic instabilities of isothermal spheres in dS and AdS
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发表时间：
2013-05
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通讯作者：
Z. Roupas
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作者：
Z. Roupas
流体球的热力学稳定性研究中存在的宇宙常数，无论是在牛顿极限，以及在广义相对论。在所有情况下，宇宙学常数的增加倾向于稳定系统，使得在纯经典水平下，渐近德西特空间比反德西特空间更稳定。此外，在牛顿的情况下，可重入相变观察到一个积极的宇宙学常数，由于它的排斥性质在这种情况下。在广义相对论中研究了辐射的情况，发现不稳定性发生的临界半径总是大于系统的黑洞半径，而且在宇宙学常数的某个值处，这个临界半径到达宇宙学视界。
Thermodynamical stability of fluid spheres is studied in the presence of a cosmological constant, both in the Newtonian limit, as well as in General Relativity. In all cases, an increase of the cosmological constant tends to stabilize the system, making asymptotically de Sitter space more thermodynamically stable than anti-de Sitter at the purely classical level. In addition, in the Newtonian case reentrant phase transitions are observed for a positive cosmological constant, due to its repelling property in this case. In General Relativity is studied the case of radiation, for which is found that the critical radius, at which an instability sets in, is always bigger than the black hole radius of the system and furthermore, at some value of the cosmological constant this critical radius hits at the cosmological horizon.