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Title: Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes

Abstract

We present numerical evidences for the validity of the inequality between the total mass and the total angular momentum for multiple axially symmetric (nonstationary) black holes. We use a parabolic heat flow to solve numerically the stationary axially symmetric Einstein equations. As a by-product of our method, we also give numerical evidences that there are no regular solutions of Einstein equations that describe two extreme, axially symmetric black holes in equilibrium.

Authors:
;  [1];  [2]
  1. Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria (5000) Cordoba, Argentina, and Max Planck Institute for Gravitational Physics (Albert-Einstein-Institute) Am Muehlenberg 1 D-14476 Potsdam (Germany)
  2. (5000) Cordoba (Argentina)
Publication Date:
OSTI Identifier:
21316268
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 80; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.80.024045; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ANGULAR MOMENTUM; AXIAL SYMMETRY; BLACK HOLES; BY-PRODUCTS; EINSTEIN FIELD EQUATIONS; EQUILIBRIUM; HEAT FLUX; MASS; MATHEMATICAL SOLUTIONS

Citation Formats

Dain, Sergio, Ortiz, Omar E., and Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria. Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.024045.
Dain, Sergio, Ortiz, Omar E., & Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria. Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes. United States. doi:10.1103/PHYSREVD.80.024045.
Dain, Sergio, Ortiz, Omar E., and Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria. Wed . "Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes". United States. doi:10.1103/PHYSREVD.80.024045.
@article{osti_21316268,
title = {Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes},
author = {Dain, Sergio and Ortiz, Omar E. and Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria},
abstractNote = {We present numerical evidences for the validity of the inequality between the total mass and the total angular momentum for multiple axially symmetric (nonstationary) black holes. We use a parabolic heat flow to solve numerically the stationary axially symmetric Einstein equations. As a by-product of our method, we also give numerical evidences that there are no regular solutions of Einstein equations that describe two extreme, axially symmetric black holes in equilibrium.},
doi = {10.1103/PHYSREVD.80.024045},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 80,
place = {United States},
year = {Wed Jul 15 00:00:00 EDT 2009},
month = {Wed Jul 15 00:00:00 EDT 2009}
}