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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

Miguel Alcubierre , Juan Carlos Degollado , Marcelo Salgado This is my paper · ORCID
classification gr-qc
keywords initialdatasystemblackchargedeinstein-maxwellholeshyperbolic
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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 7 Pith papers

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

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    Two modified CCZ4 schemes that propagate momentum constraint violations without damping suppress a late-time instability seen in long BSSN black hole simulations.

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    In effective field theories of gravity with electromagnetism and scalars, surface gravity and electric potential are constant on black hole horizons up to the accuracy of the EFT, and a modified entropy satisfies the ...

  7. Nonlinear Stability of Kerr-Sen Black Holes in Merging Binaries

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    Head-on binary black hole simulations in EMDA theory show dilaton and axion fields persist through merger, indicating nonlinear stability of Kerr-Sen black holes and scalarization of initially unscalarized solutions.

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