Numerical relativity simulations of charged black hole mergers demonstrate identical gravitational dynamics across electromagnetic duality rotations, with electromagnetic radiation polarization rotated by 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 4years
2026 4representative citing papers
Head-on charged black hole mergers in Einstein-Maxwell-scalar theory can leave a scalarized remnant or dynamically lose scalar hair, depending on coupling strength and remnant charge.
Black holes with resonant scalar hair are dynamically unstable in 3+1 numerical relativity, decaying via fission or absorption into bald black holes.
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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Electromagnetic duality degeneracy in dynamical black hole mergers
Numerical relativity simulations of charged black hole mergers demonstrate identical gravitational dynamics across electromagnetic duality rotations, with electromagnetic radiation polarization rotated by the duality angle.
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Binary Black Hole Coalescence and the Dynamics of Scalar Hair in Einstein-Maxwell-Scalar Theory
Head-on charged black hole mergers in Einstein-Maxwell-scalar theory can leave a scalarized remnant or dynamically lose scalar hair, depending on coupling strength and remnant charge.
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Spontaneous spherical symmetry breaking of black holes with resonant hair
Black holes with resonant scalar hair are dynamically unstable in 3+1 numerical relativity, decaying via fission or absorption into bald black holes.
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Nonlinear Stability of Kerr-Sen Black Holes in Merging Binaries
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.