Dynamical obstruction to perpetual motion from Lorentz-violating black holes

Benkel, Robert; Bhattacharyya, Jishnu; Louko, Jorma; Mattingly, David; Sotiriou, Thomas P.

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.

Citation

Benkel, R., Bhattacharyya, J., Louko, J., Mattingly, D., & Sotiriou, T. P. (2018). Dynamical obstruction to perpetual motion from Lorentz-violating black holes. Physical Review D, 98(2), Article 024034. https://doi.org/10.1103/PhysRevD.98.024034

• Journal Article Type: Article
• Acceptance Date: Jul 3, 2018
• Publication Date: Jul 18, 2018
• Deposit Date: Jul 20, 2018
• Publicly Available Date: Jul 20, 2018
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 98
• Issue: 2
• Article Number: 024034
• DOI: https://doi.org/10.1103/PhysRevD.98.024034
• Public URL: https://nottingham-repository.worktribe.com/output/947152
• Publisher URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.024034
• Additional Information: © 2018 American Physical Society