Note on electrical and thermodynamic properties of isolated horizons

Note on electrical and thermodynamic properties of isolated horizons
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关于孤立层位的电学和热力学性质的注释

DOI:
10.1103/physrevd.91.064042
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发表时间:
2014-10
期刊:
Physical Review D - Particles, Fields, Gravitation and Cosmology
影响因子:
--
通讯作者:
Gao Sijie
Gao Sijie
中科院分区:
其他
文献类型:
--
作者:
Chen Gerui;Wu Xiaoning;Gao Sijie

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本文研究了孤立视界的电学定律和卡诺循环。我们建立了孤立视界的欧姆定律和焦耳定律,并发现黑洞的概念图(膜范式)也适用于这类准局域黑洞。我们还研究了非旋转IH附近的几何性质,发现在r的一阶近似下,存在一个Killing矢量和一个与之共轭的Hamilton量,因此这个矢量是一个物理观测器。我们计算了在非旋转IH外静止粒子在无穷远处的能量,并利用这个结果构造了一个以孤立视界为冷库的可逆卡诺循环,证实了孤立视界的热力学性质。
The electrical laws and Carnot cycle of Isolated Horizon (IH) are investigated in this paper. We establish the Ohm's law and Joule's law of an Isolated Horizon, and find that the conceptual picture of black holes (Membrane Paradigm) can also apply to this kind of quasi-local black holes. We also investigate the geometrical properties near a non-rotating IH, and find that under the first-order approximation of r, there exist a Killing vector and a Hamiltonian conjugate to it, so this vector is a physical observer. We calculate the energy as measured at infinity of a particle at rest outside a non-rotating IH, and use this result to construct a reversible Carnot cycle with the Isolated Horizon as a cold reservoir, which confirms the thermodynamic nature of Isolated Horizon.
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