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Disk collapse in general relativity

Abrahams, Andrew M. and Shapiro, Stuart L. and Teukolsky, Saul A. (1994) Disk collapse in general relativity. Physical Review D, 50 (12). pp. 7282-7291. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20180719-144157648

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Abstract

The radial collapse of a homogeneous disk of collisionless particles can be solved analytically in Newtonian gravitation. To solve the problem in general relativity, however, requires the full machinery of numerical relativity. The collapse of a disk is the simplest problem that exhibits the two most significant and challenging features of strong-field gravitation: black hole formation and gravitational wave generation. We carry out dynamical calculations of several different relativistic disk systems. We explore the growth of ring instabilities in equilibrium disks, and how they are suppressed by sufficient velocity dispersion. We calculate waveforms from oscillating disks, and from disks that undergo gravitational collapse to black holes. Studies of disk collapse to black holes should also be useful for developing new techniques for numerical relativity, such as apparent horizon boundary conditions for black hole spacetimes.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.50.7282DOIArticle
https://arxiv.org/abs/gr-qc/9405060arXivDiscussion Paper
ORCID:
AuthorORCID
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 1994 American Physical Society. {Received 25 May 1994) This work was supported by National Science Foundation Grant No. AST 91-19475 and No. PHY 90-07834 and by Grand Challenge Grant No. NSF PHY 93-18152/ASC 93-18152 (ARPA supplemented). Computations were performed at the Cornell Center for Theory and Simulation in Science and Engineering, which is supported in part by the National Science Foundation, IBM Corporation, New York State, and the Cornell Research Institute.
Funders:
Funding AgencyGrant Number
NSFAST 91-19475
NSFPHY 90-07834
NSFPHY 93-18152
Advanced Research Projects Agency (ARPA)UNSPECIFIED
IBMUNSPECIFIED
State of New YorkUNSPECIFIED
Cornell Research InstituteUNSPECIFIED
Issue or Number:12
Classification Code:PACS number(s): 04.25.Dm, 04.20.Jb, 04.30.Db, 04.70.-s
Record Number:CaltechAUTHORS:20180719-144157648
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180719-144157648
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88018
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:19 Jul 2018 22:16
Last Modified:22 Nov 2019 09:58

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