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An introduction to local Black Hole horizons in the 3+1 approach to General Relativity

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons26311

Jaramillo,  Jose Luis
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1108.2408
(Preprint), 552KB

IJMPD20_2169.pdf
(Any fulltext), 648KB

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Citation

Jaramillo, J. L. (2011). An introduction to local Black Hole horizons in the 3+1 approach to General Relativity. International Journal of Modern Physics D, 20(11), 2169-2204. doi:10.1142/S0218271811020366.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-03CC-E
Abstract
We present an introduction to dynamical trapping horizons as quasi-local models for black hole horizons, from the perspective of an Initial Value Problem approach to the construction of generic black hole spacetimes. We focus on the geometric and structural properties of these horizons aiming, as a main application, at the numerical evolution and analysis of black hole spacetimes in astrophysical scenarios. In this setting, we discuss their dual role as an "a priori" ingredient in certain formulations of Einstein equations and as an "a posteriori" tool for the diagnosis of dynamical black hole spacetimes. Complementary to the first-principles discussion of quasi-local horizon physics, we place an emphasis on the "rigidity" properties of these hypersurfaces and their role as privileged geometric probes into near-horizon strong-field spacetime dynamics.