Electromagnetic duality leaves the spacetime dynamics of charged black hole mergers invariant while rotating the polarization of the emitted electromagnetic radiation according to the duality angle.
The Einstein-Maxwell system in 3+1 form and initial data for multiple charged black holes
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abstract
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.
fields
gr-qc 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Black holes with resonant hair spontaneously break spherical symmetry and decay into bald black holes via non-spherical dynamics, either through fission or absorption.
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Electromagnetic duality degeneracy in dynamical black hole mergers
Electromagnetic duality leaves the spacetime dynamics of charged black hole mergers invariant while rotating the polarization of the emitted electromagnetic radiation according to the duality angle.
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Spontaneous spherical symmetry breaking of black holes with resonant hair
Black holes with resonant hair spontaneously break spherical symmetry and decay into bald black holes via non-spherical dynamics, either through fission or absorption.