{"title":"Exploring regular black holes within the framework of the TFD formalism","authors":"Jhonny A. A. Ruiz, A. F. Santos","doi":"10.1140/epjp/s13360-024-05822-8","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, a massive scalar field non-minimally coupled with gravity is considered. Assuming a regular and spherically symmetric background, specifically a regular black hole solution, the energy-momentum tensor is calculated. Using the thermofield dynamics formalism and its topological structure, the corresponding Stefan–Boltzmann law and Casimir effect are investigated. The results for the regular Bardeen and Hayward black holes are compared with those obtained for the Schwarzschild black hole.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-024-05822-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
In this paper, a massive scalar field non-minimally coupled with gravity is considered. Assuming a regular and spherically symmetric background, specifically a regular black hole solution, the energy-momentum tensor is calculated. Using the thermofield dynamics formalism and its topological structure, the corresponding Stefan–Boltzmann law and Casimir effect are investigated. The results for the regular Bardeen and Hayward black holes are compared with those obtained for the Schwarzschild black hole.
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