Dynamical obstruction to perpetual motion from Lorentz-violating black holes

Benkel, Robert and Bhattacharyya, Jishnu and Louko, Jorma and Mattingly, David and Sotiriou, Thomas P. (2018) Dynamical obstruction to perpetual motion from Lorentz-violating black holes. Physical Review D, 98 (2). 024034/1-024034/10. ISSN 2470-0029

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Abstract

Black holes in Lorentz-violating theories have been claimed to violate the second law of thermodynamics by perpetual motion energy extraction. We revisit this question for a Penrose splitting process in a spherically symmetric setting with two species of particles that move on radial geodesics that extend to infinity. We show that energy extraction by this process cannot happen in any theory in which gravity is attractive, in the sense of a geometric inequality that we describe. This inequality is satisfied by all known Einstein-æther and Hořava black hole solutions.

Item Type: Article
Additional Information: © 2018 American Physical Society
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: https://doi.org/10.1103/PhysRevD.98.024034
Depositing User: Eprints, Support
Date Deposited: 20 Jul 2018 10:01
Last Modified: 20 Jul 2018 10:15
URI: http://eprints.nottingham.ac.uk/id/eprint/53052

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