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  Dynamical Surface Gravity in Spherically Symmetric Black Hole Formation

Pielahn, M., Kunstatter, G., & Nielsen, A. B. (2011). Dynamical Surface Gravity in Spherically Symmetric Black Hole Formation. Physical Review D, 84(10): 104008. doi:10.1103/PhysRevD.84.104008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-0165-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-0166-4
Genre: Journal Article

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1103.0750 (Preprint), 468KB
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 Creators:
Pielahn, Mathias, Author
Kunstatter, Gabor, Author
Nielsen, Alex B.1, Author              
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We study dynamical surface gravity in a general spherically symmetric setting using Painlev\'{e}-Gullstrand (PG) coordinates. Our analysis includes several definitions that have been proposed in the past as well as two new definitions adapted to PG coordinates. Various properties are considered, including general covariance, value at extremality, locality and static limit. We illustrate with specific examples of "dirty" black holes that even for spacetimes possessing a global timelike Killing vector, local definitions of surface gravity can differ substantially from "non-local" ones that require an asymptotic normalization condition. Finally, we present numerical calculations of dynamical surface gravity for black hole formation via spherically symmetric scalar field collapse. Our results highlight the differences between the various definitions in a dynamical setting and provide further insight into the distinction between local and non-local definitions of surface gravity.

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 Dates: 2011-03-032011-10-252011
 Publication Status: Published in print
 Pages: Final version to appear in Phys. Rev. D. Slight name change, further improvements to numerics and presentation, 25 pages, 7 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1103.0750
DOI: 10.1103/PhysRevD.84.104008
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 84 (10) Sequence Number: 104008 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258