First law of black hole mechanics with fermions
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Publication:5162064
DOI10.1088/1361-6382/ABA5ABzbMATH Open1479.83117arXiv2004.10215OpenAlexW3042419767MaRDI QIDQ5162064
Author name not available (Why is that?)
Publication date: 1 November 2021
Published in: (Search for Journal in Brave)
Abstract: In the last few years, there has been significant interest in understanding the stationary comparison version of the first law of black hole mechanics in the vielbein formulation of gravity. Several authors have pointed out that to discuss the first law in the vielbein formulation one must extend the Iyer-Wald Noether charge formalism appropriately. Jacobson and Mohd [arXiv:1507.01054] and Prabhu [arXiv:1511.00388] formulated such a generalisation for symmetry under combined spacetime diffeomorphisms and local Lorentz transformations. In this paper, we apply and appropriately adapt their formalism to four-dimensional gravity coupled to a Majorana field and to a Rarita-Schwinger field. We explore the first law of black hole mechanics and the construction of the Lorentz-diffeomorphism Noether charges in the presence of fermionic fields, relevant for simple supergravity.
Full work available at URL: https://arxiv.org/abs/2004.10215
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