Noether Gauge Symmetry Approach Applying for the Non-Minimally Coupled Gravity to the Maxwell Field

IF 5.6 3区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Somayyeh Mahmoudi, Somayeh Hajkhalili, Seyed Hossein Hendi
{"title":"Noether Gauge Symmetry Approach Applying for the Non-Minimally Coupled Gravity to the Maxwell Field","authors":"Somayyeh Mahmoudi,&nbsp;Somayeh Hajkhalili,&nbsp;Seyed Hossein Hendi","doi":"10.1002/prop.202300121","DOIUrl":null,"url":null,"abstract":"<p>Taking the Noether gauge symmetry approach into account, spherically symmetric static black hole solutions of the non-minimal gauge-gravity Lagrangian of the <math>\n <semantics>\n <mrow>\n <msup>\n <mi>R</mi>\n <mi>β</mi>\n </msup>\n <msup>\n <mi>F</mi>\n <mn>2</mn>\n </msup>\n </mrow>\n <annotation>$\\mathcal {R}^\\beta F^2$</annotation>\n </semantics></math> model is found. At first, a system of differential equations for the general non-minimal couplings of <math>\n <semantics>\n <mrow>\n <mi>Y</mi>\n <mrow>\n <mo>(</mo>\n <mi>R</mi>\n <mo>)</mo>\n </mrow>\n <msup>\n <mi>F</mi>\n <mn>2</mn>\n </msup>\n </mrow>\n <annotation>$Y(\\mathcal {R})F^2$</annotation>\n </semantics></math> type is considered, and then, it is regarded as a particular <math>\n <semantics>\n <mrow>\n <msup>\n <mi>R</mi>\n <mi>β</mi>\n </msup>\n <msup>\n <mi>F</mi>\n <mn>2</mn>\n </msup>\n </mrow>\n <annotation>$\\mathcal {R}^\\beta F^2$</annotation>\n </semantics></math> non-minimal model to find the exact black hole solution and analyze its symmetries. As the next step, the thermodynamical quantities of the black hole and its interesting behavior is calculated. Besides, thermal stability and examining the possibility of the van der Waals-like phase transition is addressed.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"71 12","pages":""},"PeriodicalIF":5.6000,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fortschritte Der Physik-Progress of Physics","FirstCategoryId":"101","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/prop.202300121","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

Taking the Noether gauge symmetry approach into account, spherically symmetric static black hole solutions of the non-minimal gauge-gravity Lagrangian of the R β F 2 $\mathcal {R}^\beta F^2$ model is found. At first, a system of differential equations for the general non-minimal couplings of Y ( R ) F 2 $Y(\mathcal {R})F^2$ type is considered, and then, it is regarded as a particular R β F 2 $\mathcal {R}^\beta F^2$ non-minimal model to find the exact black hole solution and analyze its symmetries. As the next step, the thermodynamical quantities of the black hole and its interesting behavior is calculated. Besides, thermal stability and examining the possibility of the van der Waals-like phase transition is addressed.

Noether规范对称方法在麦克斯韦场非最小耦合引力中的应用
考虑到诺特规范对称方法,得到了R β f2 $\mathcal {R}^\beta F^2$模型的非极小规范引力拉格朗日量的球对称静态黑洞解。首先考虑一类Y(R)F 2$ Y(\mathcal {R})F^2$类型的一般非极小耦合微分方程组,然后,将其视为一个特殊的R β F^2$ \mathcal {R}^\ β F^2$非极小模型来寻找黑洞的精确解并分析其对称性。下一步,计算黑洞的热力学量及其有趣的行为。此外,还讨论了热稳定性和范德华样相变的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
6.70
自引率
7.70%
发文量
75
审稿时长
6-12 weeks
期刊介绍: The journal Fortschritte der Physik - Progress of Physics is a pure online Journal (since 2013). Fortschritte der Physik - Progress of Physics is devoted to the theoretical and experimental studies of fundamental constituents of matter and their interactions e. g. elementary particle physics, classical and quantum field theory, the theory of gravitation and cosmology, quantum information, thermodynamics and statistics, laser physics and nonlinear dynamics, including chaos and quantum chaos. Generally the papers are review articles with a detailed survey on relevant publications, but original papers of general interest are also published.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信