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Title: Physical process first law for bifurcate Killing horizons

Abstract

The physical process version of the first law for black holes states that the passage of energy and angular momentum through the horizon results in a change in area ({kappa}/8{pi}){delta}A={delta}E-{omega}{delta}J, so long as this passage is quasistationary. A similar physical process first law can be derived for any bifurcate Killing horizon in any spacetime dimension d{>=}3 using much the same argument. However, to make this law nontrivial, one must show that sufficiently quasistationary processes do in fact occur. In particular, one must show that processes exist for which the shear and expansion remain small, and in which no new generators are added to the horizon. Thorne, MacDonald, and Price considered related issues when an object falls across a d=4 black hole horizon. By generalizing their argument to arbitrary d{>=}3 and to any bifurcate Killing horizon, we derive a condition under which these effects are controlled and the first law applies. In particular, by providing a nontrivial first law for Rindler horizons, our work completes the parallel between the mechanics of such horizons and those of black holes for d{>=}3. We also comment on the situation for d=2.

Authors:
; ;  [1]
  1. Department of Physics, University of California at Santa Barbara, Santa Barbara, California 93106 (United States)
Publication Date:
OSTI Identifier:
21035834
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.77.024011; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; BLACK HOLES; COSMOLOGICAL MODELS; COSMOLOGY; SHEAR; SPACE-TIME

Citation Formats

Amsel, Aaron J, Marolf, Donald, and Virmani, Amitabh. Physical process first law for bifurcate Killing horizons. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.024011.
Amsel, Aaron J, Marolf, Donald, & Virmani, Amitabh. Physical process first law for bifurcate Killing horizons. United States. https://doi.org/10.1103/PHYSREVD.77.024011
Amsel, Aaron J, Marolf, Donald, and Virmani, Amitabh. 2008. "Physical process first law for bifurcate Killing horizons". United States. https://doi.org/10.1103/PHYSREVD.77.024011.
@article{osti_21035834,
title = {Physical process first law for bifurcate Killing horizons},
author = {Amsel, Aaron J and Marolf, Donald and Virmani, Amitabh},
abstractNote = {The physical process version of the first law for black holes states that the passage of energy and angular momentum through the horizon results in a change in area ({kappa}/8{pi}){delta}A={delta}E-{omega}{delta}J, so long as this passage is quasistationary. A similar physical process first law can be derived for any bifurcate Killing horizon in any spacetime dimension d{>=}3 using much the same argument. However, to make this law nontrivial, one must show that sufficiently quasistationary processes do in fact occur. In particular, one must show that processes exist for which the shear and expansion remain small, and in which no new generators are added to the horizon. Thorne, MacDonald, and Price considered related issues when an object falls across a d=4 black hole horizon. By generalizing their argument to arbitrary d{>=}3 and to any bifurcate Killing horizon, we derive a condition under which these effects are controlled and the first law applies. In particular, by providing a nontrivial first law for Rindler horizons, our work completes the parallel between the mechanics of such horizons and those of black holes for d{>=}3. We also comment on the situation for d=2.},
doi = {10.1103/PHYSREVD.77.024011},
url = {https://www.osti.gov/biblio/21035834}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 2,
volume = 77,
place = {United States},
year = {Tue Jan 15 00:00:00 EST 2008},
month = {Tue Jan 15 00:00:00 EST 2008}
}