The Physical Process First Law for Bifurcate Killing Horizons

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dc.creatorAmsel, Aaron J.
dc.creatorMarolf, Donald
dc.creatorVirmani, Amitabh
dc.date2007-08-20
dc.date2007-10-16
dc.date.accessioned2026-07-07T11:18:44Z
dc.date.available2026-07-07T11:18:44Z
dc.descriptionThe 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 $\fracκ{8 π} ΔA = ΔE - ΩΔJ$, so long as this passage is quasi-stationary. A similar physical process first law can be derived for any bifurcate Killing horizon in any spacetime dimension $d \ge 3$ using much the same argument. However, to make this law non-trivial, one must show that sufficiently quasi-stationary 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 $d \ge 3$ 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 non-trivial first law for Rindler horizons, our work completes the parallel between the mechanics of such horizons and those of black holes for $d \ge 3$. We also comment on the situation for d=2.
dc.description19 pages; v2: ref added, minor changes
dc.identifierhttps://arxiv.org/abs/0708.2738
dc.identifierhttp://arxiv.org/abs/0708.2738
dc.identifierPhys.Rev.D77:024011,2008
dc.identifierdoi:10.1103/PhysRevD.77.024011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193449
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleThe Physical Process First Law for Bifurcate Killing Horizons
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