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

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arxiv 0907.1151 v2 pith:WBD72FRU submitted 2009-07-07 gr-qc

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

Miguel Alcubierre , Juan Carlos Degollado , Marcelo Salgado This is my paper
classification gr-qc
keywords initialdatasystemblackchargedeinstein-maxwellholeshyperbolic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 puncture-like 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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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  4. Spontaneous spherical symmetry breaking of black holes with resonant hair

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    gr-qc 2026-04 unverdicted novelty 5.0

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