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RESEARCH PRODUCT
Explosion and Final State of an Unstable Reissner-Nordström Black Hole
Nicolas Sanchis-gualJosé A. FontPedro J. MonteroCarlos A. R. HerdeiroJuan Carlos Degolladosubject
PhysicsHigh Energy Physics - Theory010308 nuclear & particles physicsHorizonGeneral Physics and AstronomyFOS: Physical sciencesCharge (physics)General Relativity and Quantum Cosmology (gr-qc)Charged black holeCritical value01 natural sciencesGeneral Relativity and Quantum CosmologyBlack holeNumerical relativityGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Quantum electrodynamics0103 physical sciencesCircular symmetry010306 general physicsScalar fielddescription
A Reissner-Nordstr\"om black hole (BH) is superradiantly unstable against spherical perturbations of a charged scalar field, enclosed in a cavity, with frequency lower than a critical value. We use numerical relativity techniques to follow the development of this unstable system -- dubbed a charged BH bomb -- into the non-linear regime, solving the full Einstein--Maxwell--Klein-Gordon equations, in spherical symmetry. We show that: $i)$ the process stops before all the charge is extracted from the BH; $ii)$ the system settles down into a hairy BH: a charged horizon in equilibrium with a scalar field condensate, whose phase is oscillating at the (final) critical frequency. For low scalar field charge, $q$, the final state is approached smoothly and monotonically. For large $q$, however, the energy extraction overshoots and an explosive phenomenon, akin to a $bosenova$, pushes some energy back into the BH. The charge extraction, by contrast, does not reverse.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-04-01 | Physical Review Letters |