{"title":"The Phase Transition of Reissner-Nordström Black Holes","authors":"Bobin Li","doi":"arxiv-2405.04543","DOIUrl":null,"url":null,"abstract":"Under the framework of thermodynamics, the phase transition of the black hole\nis a general issue in general relativity. In this work, the phase transition of\ncharged black holes is discussed carefully. The metric tensor of thermodynamics\nis redefined in the charged black hole, based on the Ruppeiner geometry. With\nthe well-defined metric tensor of thermodynamics, the scalar curvature of the\ncharged black hole is obtained. It is indicated that the scalar curvature is\ndiverged and infinite when the mass M or charge Q are set by some values, and\nit is shown that the charged black hole suffers from a phase transition. At the\nsame time, there is a phase transition from small mass to large mass or from\nsmall to high charged state. It is shown that the phase transition of a charged\nblack hole is a common and general process and this work is meaningful for the\nconstruction of microscopic states of black holes.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"19 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - General Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.04543","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Under the framework of thermodynamics, the phase transition of the black hole
is a general issue in general relativity. In this work, the phase transition of
charged black holes is discussed carefully. The metric tensor of thermodynamics
is redefined in the charged black hole, based on the Ruppeiner geometry. With
the well-defined metric tensor of thermodynamics, the scalar curvature of the
charged black hole is obtained. It is indicated that the scalar curvature is
diverged and infinite when the mass M or charge Q are set by some values, and
it is shown that the charged black hole suffers from a phase transition. At the
same time, there is a phase transition from small mass to large mass or from
small to high charged state. It is shown that the phase transition of a charged
black hole is a common and general process and this work is meaningful for the
construction of microscopic states of black holes.
在热力学框架下,黑洞的相变是广义相对论中的一个普遍问题。本文仔细讨论了带电黑洞的相变问题。在鲁佩纳几何的基础上,重新定义了带电黑洞的热力学度量张量。有了定义明确的热力学度量张量,就得到了带电黑洞的标量曲率。结果表明,当质量 M 或电荷 Q 设为一定值时,标量曲率是发散的和无限的,并表明带电黑洞会发生相变。同时,还存在从小质量到大质量或从小电荷状态到大电荷状态的相变。研究表明,带电黑洞的相变是一个常见和普遍的过程,这项工作对于构建黑洞的微观态很有意义。