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Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations

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arxiv gr-qc/0610032 v2 pith:ZFNHOTZO submitted 2006-10-09 gr-qc

Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations

Ivan Booth , Stephen Fairhurst This is my paper
classification gr-qc
keywords horizonsdynamicaltrappingdeformationsderiveevolvingframeworkgeometry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the geometry and dynamics of both isolated and dynamical trapping horizons by considering the allowed variations of their foliating two-surfaces. This provides a common framework that may be used to consider both their possible evolutions and their deformations as well as derive the well-known flux laws. Using this framework, we unify much of what is already known about these objects as well as derive some new results. In particular we characterize and study the "almost-isolated" trapping horizons known as slowly evolving horizons. It is for these horizons that a dynamical first law holds and this is analogous and closely related to the Hawking-Hartle formula for event horizons.

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Cited by 3 Pith papers

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    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...