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Main Authors: Ferreira, José, Bozzola, Gabriele, Herdeiro, Carlos A. R., Paschalidis, Vasileios, Zilhão, Miguel
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.20493
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author Ferreira, José
Bozzola, Gabriele
Herdeiro, Carlos A. R.
Paschalidis, Vasileios
Zilhão, Miguel
author_facet Ferreira, José
Bozzola, Gabriele
Herdeiro, Carlos A. R.
Paschalidis, Vasileios
Zilhão, Miguel
contents Electromagnetic duality is a symmetry of the source-free Einstein-Maxwell equations that rotates electric and magnetic fields while leaving the stress-energy tensor invariant. We present the first fully nonlinear realization of this symmetry in dynamical strong-gravity regimes by performing numerical relativity simulations of charged black hole mergers across a continuous duality family. Starting from electrically charged binaries, we generate dyonic and magnetically charged configurations via duality rotations and evolve them within a common numerical framework. We find that all dual configurations exhibit identical spacetime dynamics, while the emitted electromagnetic radiation is related by a rotation of its polarization equal to the duality angle. Our results demonstrate a degeneracy of gravitational observables under electromagnetic duality and provide a concrete mapping between dual configurations at the level of radiation, establishing electromagnetic duality as an organizing principle for dynamical Einstein-Maxwell solutions.
format Preprint
id arxiv_https___arxiv_org_abs_2605_20493
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Electromagnetic duality degeneracy in dynamical black hole mergers
Ferreira, José
Bozzola, Gabriele
Herdeiro, Carlos A. R.
Paschalidis, Vasileios
Zilhão, Miguel
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Electromagnetic duality is a symmetry of the source-free Einstein-Maxwell equations that rotates electric and magnetic fields while leaving the stress-energy tensor invariant. We present the first fully nonlinear realization of this symmetry in dynamical strong-gravity regimes by performing numerical relativity simulations of charged black hole mergers across a continuous duality family. Starting from electrically charged binaries, we generate dyonic and magnetically charged configurations via duality rotations and evolve them within a common numerical framework. We find that all dual configurations exhibit identical spacetime dynamics, while the emitted electromagnetic radiation is related by a rotation of its polarization equal to the duality angle. Our results demonstrate a degeneracy of gravitational observables under electromagnetic duality and provide a concrete mapping between dual configurations at the level of radiation, establishing electromagnetic duality as an organizing principle for dynamical Einstein-Maxwell solutions.
title Electromagnetic duality degeneracy in dynamical black hole mergers
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2605.20493