Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 37, Issue 20, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/aba5ab
Keywords
first law of black hole thermodynamics; vielbein formalism of gravity; Rarita-Schwinger field; AdS supergravity
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Funding
- CMI Chennai
- AEI Potsdam
- Infosys Foundation
- Czech Science Foundation [19-01850S]
- INSPIRE Faculty fellowship [DST/INSPIRE/04/2018/000893]
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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 (2015Phys. Rev. D92124010) and Prabhu (2017Class. Quantum Grav.34035011) 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.
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