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Title: Simple Analytic Models of Gravitational Collapse

Abstract

Most general relativity textbooks devote considerable space to the simplest example of a black hole containing a singularity, the Schwarzschild geometry. However only a few discuss the dynamical process of gravitational collapse, by which black holes and singularities form. We present here two types of analytic models for this process, which we believe are the simplest available; the first involves collapsing spherical shells of light, analyzed mainly in Eddington-Finkelstein coordinates; the second involves collapsing spheres filled with a perfect fluid, analyzed mainly in Painleve-Gullstrand coordinates. Our main goal is pedagogical simplicity and algebraic completeness, but we also present some results that we believe are new, such as the collapse of a light shell in Kruskal-Szekeres coordinates.

Authors:
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
839752
Report Number(s):
SLAC-PUB-10766
TRN: US200516%%565
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; GEOMETRY; GRAVITATIONAL COLLAPSE; SINGULARITY

Citation Formats

Adler, R. Simple Analytic Models of Gravitational Collapse. United States: N. p., 2005. Web. doi:10.2172/839752.
Adler, R. Simple Analytic Models of Gravitational Collapse. United States. https://doi.org/10.2172/839752
Adler, R. 2005. "Simple Analytic Models of Gravitational Collapse". United States. https://doi.org/10.2172/839752. https://www.osti.gov/servlets/purl/839752.
@article{osti_839752,
title = {Simple Analytic Models of Gravitational Collapse},
author = {Adler, R},
abstractNote = {Most general relativity textbooks devote considerable space to the simplest example of a black hole containing a singularity, the Schwarzschild geometry. However only a few discuss the dynamical process of gravitational collapse, by which black holes and singularities form. We present here two types of analytic models for this process, which we believe are the simplest available; the first involves collapsing spherical shells of light, analyzed mainly in Eddington-Finkelstein coordinates; the second involves collapsing spheres filled with a perfect fluid, analyzed mainly in Painleve-Gullstrand coordinates. Our main goal is pedagogical simplicity and algebraic completeness, but we also present some results that we believe are new, such as the collapse of a light shell in Kruskal-Szekeres coordinates.},
doi = {10.2172/839752},
url = {https://www.osti.gov/biblio/839752}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Feb 09 00:00:00 EST 2005},
month = {Wed Feb 09 00:00:00 EST 2005}
}