Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/16233
Title: | First law of black hole mechanics as a condition for stationarity | Contributor(s): | McCormick, Stephen (author) | Publication Date: | 2014 | Open Access: | Yes | DOI: | 10.1103/PhysRevD.90.104034 | Handle Link: | https://hdl.handle.net/1959.11/16233 | Open Access Link: | https://arxiv.org/abs/1406.7480 | Abstract: | In earlier work, we provided a Hilbert manifold structure for the phase space for the Einstein-Yang-Mills equations, and used this to prove a condition for initial data to be stationary [S. McCormick, Adv. Theor. Math. Phys. 18, 799 (2014)]. Here we use the same phase space to consider the evolution of initial data exterior to some closed 2-surface boundary, and establish a condition for stationarity in this case. It is shown that the differential relationship given in the first law of black hole mechanics is exactly the condition required for the initial data to be stationary; this was first argued nonrigorously by Sudarsky and Wald [Phys. Rev. D 46, 1453 (1992)]. Furthermore, we give evidence to suggest that if this differential relationship holds then the boundary surface is the bifurcation surface of a bifurcate Killing horizon. | Publication Type: | Journal Article | Source of Publication: | Physical Review D: covering particles, fields, gravitation, and cosmology, 90(10), p. 104034-1-104034-11 | Publisher: | American Physical Society | Place of Publication: | United States of America | ISSN: | 1550-2368 1550-7998 |
Fields of Research (FoR) 2008: | 010110 Partial Differential Equations 010504 Mathematical Aspects of General Relativity |
Fields of Research (FoR) 2020: | 490410 Partial differential equations 490204 Mathematical aspects of general relativity |
Socio-Economic Objective (SEO) 2008: | 970102 Expanding Knowledge in the Physical Sciences 970101 Expanding Knowledge in the Mathematical Sciences |
Socio-Economic Objective (SEO) 2020: | 280120 Expanding knowledge in the physical sciences 280118 Expanding knowledge in the mathematical sciences |
Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article School of Science and Technology |
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