Towards a second law for Lovelock theories
Towards a second law for Lovelock theories
In classical general relativity described by Einstein-Hilbert gravity, black holes behave as thermodynamic objects. In particular, the laws of black hole mechanics can be interpreted as laws of thermodynamics. The first law of black hole mechanics extends to higher derivative theories via the Noether charge construction of Wald. One also expects the statement of the second law, which in Einstein-Hilbert theory owes to Hawking's area theorem, to extend to higher derivative theories. To argue for this however one needs a notion of entropy for dynamical black holes, which the Noether charge construction does not provide. We propose such an entropy function for the family of Lovelock theories, treating the higher derivative terms as perturbations to the Einstein-Hilbert theory. Working around a dynamical black hole solution, and making no assumptions about the amplitude of departure from equilibrium, we construct a candidate entropy functional valid to all orders in the low energy effective field theory. This entropy functional satisfies a second law, modulo a certain subtle boundary term, which deserves further investigation in non-spherically symmetric situations.
hep-th, gr-qc
Bhattacharyya, Sayantani
2afaf30e-823d-4d41-a737-14169e0f42b1
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Kundu, Nilay
ea59784b-208a-4b96-aac7-b109008f61b6
Loganayagam, R.
18806477-1ac8-419a-9729-0e36440bd36a
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
13 March 2017
Bhattacharyya, Sayantani
2afaf30e-823d-4d41-a737-14169e0f42b1
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Kundu, Nilay
ea59784b-208a-4b96-aac7-b109008f61b6
Loganayagam, R.
18806477-1ac8-419a-9729-0e36440bd36a
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
Bhattacharyya, Sayantani, Haehl, Felix M., Kundu, Nilay, Loganayagam, R. and Rangamani, Mukund
(2017)
Towards a second law for Lovelock theories.
Journal of High Energy Physics, [65 (2017)].
(doi:10.1007/JHEP03(2017)065).
Abstract
In classical general relativity described by Einstein-Hilbert gravity, black holes behave as thermodynamic objects. In particular, the laws of black hole mechanics can be interpreted as laws of thermodynamics. The first law of black hole mechanics extends to higher derivative theories via the Noether charge construction of Wald. One also expects the statement of the second law, which in Einstein-Hilbert theory owes to Hawking's area theorem, to extend to higher derivative theories. To argue for this however one needs a notion of entropy for dynamical black holes, which the Noether charge construction does not provide. We propose such an entropy function for the family of Lovelock theories, treating the higher derivative terms as perturbations to the Einstein-Hilbert theory. Working around a dynamical black hole solution, and making no assumptions about the amplitude of departure from equilibrium, we construct a candidate entropy functional valid to all orders in the low energy effective field theory. This entropy functional satisfies a second law, modulo a certain subtle boundary term, which deserves further investigation in non-spherically symmetric situations.
Text
1612.04024v2
- Accepted Manuscript
More information
Submitted date: 13 December 2016
Accepted/In Press date: 4 March 2017
Published date: 13 March 2017
Additional Information:
33 pages + 5 appendices. v2: Added clarifications and references
Keywords:
hep-th, gr-qc
Identifiers
Local EPrints ID: 469962
URI: http://eprints.soton.ac.uk/id/eprint/469962
ISSN: 1126-6708
PURE UUID: 509c26a0-01a2-4b0a-a933-fd5fbdd4781c
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Date deposited: 29 Sep 2022 16:39
Last modified: 17 Mar 2024 04:14
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Contributors
Author:
Sayantani Bhattacharyya
Author:
Felix M. Haehl
Author:
Nilay Kundu
Author:
R. Loganayagam
Author:
Mukund Rangamani
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