{"title":"Noether规范对称方法在麦克斯韦场非最小耦合引力中的应用","authors":"Somayyeh Mahmoudi, Somayeh Hajkhalili, 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":"{\"title\":\"Noether Gauge Symmetry Approach Applying for the Non-Minimally Coupled Gravity to the Maxwell Field\",\"authors\":\"Somayyeh Mahmoudi, Somayeh Hajkhalili, 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}","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}
Noether Gauge Symmetry Approach Applying for the Non-Minimally Coupled Gravity to the Maxwell Field
Taking the Noether gauge symmetry approach into account, spherically symmetric static black hole solutions of the non-minimal gauge-gravity Lagrangian of the model is found. At first, a system of differential equations for the general non-minimal couplings of type is considered, and then, it is regarded as a particular 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.
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.
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