Entropy of self-gravitating anisotropic matter

被引：5

作者：

Kim, Hyeong-Chan ^{[1
]}

Lee, Youngone ^{[1
]}

机构：

[1] Korea Natl Univ Transportat, Sch Liberal Arts & Sci, Chungju 380702, South Korea

来源：

EUROPEAN PHYSICAL JOURNAL C | 2019年 / 79卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

PERFECT FLUID SOLUTIONS; WORMHOLES; EQUATION; SPHERES; THERMODYNAMICS; EQUILIBRIUM; SPACETIME; STARS; STATE; FIELD;

D O I：

10.1140/epjc/s10052-019-7189-2

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We examine the entropy of self-gravitating anisotropic matter confined to a box in the context of general relativity. The configuration of self-gravitating matter is spherically symmetric, but has anisotropic pressure of which angular part is different from the radial part. We deduce the entropy from the relation between the thermodynamical laws and the continuity equation. The variational equation for this entropy is shown to reproduce the gravitational field equation for the anisotropic matter. This result re-assures us the correspondence between gravity and thermodynamics. We apply this method to calculate the entropies of a few objects such as compact star and wormholes.

引用

页数：8

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