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

Journal Article · Sun Apr 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.084019· OSTI ID:21020388

Booth, Ivan; Fairhurst, Stephen ^[1]

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1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland and Labrador, A1C 5S7 (Canada)

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.

• OSTI ID: 21020388
• Journal Information: Physical Review. D, Particles Fields, Vol. 75, Issue 8; Other Information: DOI: 10.1103/PhysRevD.75.084019; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
DEFORMATION
GEOMETRY
QUANTUM FIELD THEORY
SURFACES
TRAPPING
VARIATIONS