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

Journal Article · Wed Jul 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.024045· OSTI ID:21316268

Dain, Sergio; Ortiz, Omar E ^[1]

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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)

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.

• OSTI ID: 21316268
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 2; Other Information: DOI: 10.1103/PhysRevD.80.024045; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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