Deformations of GR and BH thermodynamics

Krasnov, Kirill

Abstract

In four space–time dimensions General Relativity can be non-trivially deformed. Deformed theories continue to describe two propagating degrees of freedom, as GR. We study Euclidean black hole thermodynamics of these deformations. We use the recently developed formulation that works with connections as well as certain matrices M of auxiliary fields. We show that the black hole entropy is given by one quarter of the horizon area as measured by the Lie algebra valued two-form MF, where F is the connection curvature. This coincides with the horizon area as measured by the metric only for the case of General Relativity.

Citation

Krasnov, K. (2016). Deformations of GR and BH thermodynamics. Classical and Quantum Gravity, 33(15), 1-17. https://doi.org/10.1088/0264-9381/33/15/155012

• Journal Article Type: Article
• Acceptance Date: Jun 13, 2016
• Online Publication Date: Jul 7, 2016
• Publication Date: Jul 7, 2016
• Deposit Date: May 10, 2017
• Publicly Available Date: May 10, 2017
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 33
• Issue: 15
• Article Number: 155012
• Pages: 1-17
• DOI: https://doi.org/10.1088/0264-9381/33/15/155012
• Keywords: Modified gravity, Black hole Thermodynamics, Asymptotically; hyperbolic geometry
• Public URL: https://nottingham-repository.worktribe.com/output/801804
• Publisher URL: https://doi.org/10.1088/0264-9381/33/15/155012
• Additional Information: Journal title: Classical and Quantum Gravity; Article type: paper; Article title: Deformations of GR and BH thermodynamics; Copyright information: © 2016 IOP Publishing Ltd; License information: cc-by Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Date received: 2016-02-11; Date accepted: 2016-06-13; Online publication date: 2016-07-07