Dynamical obstruction to perpetual motion from Lorentz-violating black holes
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...
| Main Authors: | , , , , |
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| Format: | Article |
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American Physical Society
2018
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| Online Access: | https://eprints.nottingham.ac.uk/53052/ |
| _version_ | 1848798866640470016 |
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| author | Benkel, Robert Bhattacharyya, Jishnu Louko, Jorma Mattingly, David Sotiriou, Thomas P. |
| author_facet | Benkel, Robert Bhattacharyya, Jishnu Louko, Jorma Mattingly, David Sotiriou, Thomas P. |
| author_sort | Benkel, Robert |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:26:35Z |
| format | Article |
| id | nottingham-53052 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:26:35Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-530522020-05-04T19:46:41Z https://eprints.nottingham.ac.uk/53052/ Dynamical obstruction to perpetual motion from Lorentz-violating black holes Benkel, Robert Bhattacharyya, Jishnu Louko, Jorma Mattingly, David Sotiriou, Thomas P. 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. American Physical Society 2018-07-18 Article PeerReviewed Benkel, Robert, Bhattacharyya, Jishnu, Louko, Jorma, 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 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.024034 doi:10.1103/PhysRevD.98.024034 doi:10.1103/PhysRevD.98.024034 |
| spellingShingle | Benkel, Robert Bhattacharyya, Jishnu Louko, Jorma Mattingly, David Sotiriou, Thomas P. Dynamical obstruction to perpetual motion from Lorentz-violating black holes |
| title | Dynamical obstruction to perpetual motion from Lorentz-violating black holes |
| title_full | Dynamical obstruction to perpetual motion from Lorentz-violating black holes |
| title_fullStr | Dynamical obstruction to perpetual motion from Lorentz-violating black holes |
| title_full_unstemmed | Dynamical obstruction to perpetual motion from Lorentz-violating black holes |
| title_short | Dynamical obstruction to perpetual motion from Lorentz-violating black holes |
| title_sort | dynamical obstruction to perpetual motion from lorentz-violating black holes |
| url | https://eprints.nottingham.ac.uk/53052/ https://eprints.nottingham.ac.uk/53052/ https://eprints.nottingham.ac.uk/53052/ |