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Generalized Einstein-Maxwell theory: Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and nonextremal black holes

We present a consolidated manual of Euclidean gravity approaches for finding the logarithmic corrections to the entropy of the full Kerr-Newman family of black holes in both extremal and nonextremal limits. Seeley-DeWitt coeffcients for the quadratic fluctuations of a concern gravity theory appear t...

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Bibliographic Details
Published in:Physical review. D 2021-08, Vol.104 (4), p.1, Article 046010
Main Authors: Karan, Sudip, Panda, Binata
Format: Article
Language:English
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Summary:We present a consolidated manual of Euclidean gravity approaches for finding the logarithmic corrections to the entropy of the full Kerr-Newman family of black holes in both extremal and nonextremal limits. Seeley-DeWitt coeffcients for the quadratic fluctuations of a concern gravity theory appear to be the key ingredients in this manual. Following the manual, we calculate the first three Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and nonextremal black holes in a generalized Einstein-Maxwell theory minimally coupled to additional massless scalar, vector, spin- 1 / 2 Dirac and spin- 3 / 2 Rarita-Schwinger fields. We finally employ the Seeley-DeWitt data to reproduce the logarithmic entropy corrections for extremal black holes in all N ≥ 2 Einstein-Maxwell supergravity via an alternative local supersymmetrization method.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.104.046010