Einstein-Maxwell system in 3+1 form and initial data for multiple charged black holes

Journal Article · Sun Nov 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.104022· OSTI ID:21313373

Alcubierre, Miguel; Degollado, Juan Carlos; Salgado, Marcelo ^[1]

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1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, A.P. 70-543, Mexico D.F. 04510 (Mexico)

We consider the Einstein-Maxwell system as a Cauchy initial value problem taking the electric and magnetic fields as independent variables. Maxwell's equations in curved spacetimes are derived in detail using a 3+1 formalism and their hyperbolic properties are analyzed, showing that the resulting system is symmetric hyperbolic. We also focus on the problem of finding initial data for multiple charged black holes assuming time-symmetric initial data and using a puncturelike method to solve the Hamiltonian and the Gauss constraints. We study the behavior of the resulting initial data families, and show that previous results in this direction can be obtained as particular cases of our approach.

• OSTI ID: 21313373
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 10; Other Information: DOI: 10.1103/PhysRevD.80.104022; (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

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
EINSTEIN-MAXWELL EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
HAMILTONIANS
MAGNETIC FIELDS
MAXWELL EQUATIONS
SPACE-TIME
SYMMETRY