First law of black hole mechanics with fermions. (22nd September 2020)

• Record Type: Journal Article
• Authors: Aneesh, P B; Chakraborty, Sumanta; Hoque, Sk Jahanur; Virmani, Amitabh
• Is Part Of: Classical and quantum gravity. Volume 37:Number 20(2020:Oct.)
• Publication Date: 2020-09-22
• Subjects: first law of black hole thermodynamics -- vielbein formalism of gravity -- Rarita–Schwinger field -- AdS supergravity; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/aba5ab
• Languages: English
• ISSNs: 0264-9381

Abstract

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 (2015 Phys. Rev. D 92 124010) and Prabhu (2017 Class. Quantum Grav. 34 035011) 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.