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  Dynamical Horizons and their Properties

Ashtekar, A., & Krishnan, B. (2003). Dynamical Horizons and their Properties. Physical Review D, 68: 104030.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-531C-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-531D-9
Genre: Journal Article

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51091.pdf (Preprint), 576KB
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 Creators:
Ashtekar, Abhay1, 2, Author
Krishnan, Badri3, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              
3Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

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 Abstract: A detailed description of how black holes grow in full, non-linear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons are obtained. Fluxes are local and the energy flux is positive. Change in the horizon area is related to these fluxes. A notion of angular momentum and energy is associated with cross-sections of the horizon and balance equations, analogous to those obtained by Bondi and Sachs at null infinity, are derived. These in turn lead to generalizations of the first and second laws of black hole mechanics. The relation between dynamical horizons and their asymptotic states --the isolated horizons-- is discussed briefly. The framework has potential applications to numerical, mathematical, astrophysical and quantum general relativity.

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Language(s): eng - English
 Dates: 2003
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 51091
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 68 Sequence Number: 104030 Start / End Page: - Identifier: -