Exact Gravitational Wave Signatures from Colliding Extreme Black Holes

Abstract

The low-energy dynamics of any system admitting a continuum of static configurations is approximated by slow motion in moduli (configuration) space. Here, following Ferrell and Eardley, this moduli space approximation is utilized to study collisions of two maximally charged Reissner--Nordstr{ö}m black holes of arbitrary masses, and to compute analytically the gravitational radiation generated by their scattering or coalescence. The motion remains slow even though the fields are strong, and the leading radiation is quadrupolar. A simple expression for the gravitational waveform is derived and compared at early and late times to expectations.

6 pages

References in corpus (5)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• The Effective Field Theorist's Approach to Gravitational Dynamics
• Collisions of charged black holes
• Whirling orbits around twirling black holes from conformal symmetry
• Late-time decay of coupled electromagnetic and gravitational perturbations outside an extremal charged black hole

Cited by in corpus (8)

• On the propagation of gravitational waves in strong magnetic fields
• Innermost stable circular orbits in Majumdar--Papapetrou dihole spacetime
• On Late Time Tails in an Extreme Reissner-Nordström Black Hole: Frequency Domain Analysis
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Dilatonic Imprints on Exact Gravitational Wave Signatures
• Generalized Near Horizon Extreme Binary Black Hole Geometry
• Corrections to the Aretakis type behaviour of the metric due to an infalling particle
• Metric for two unequal extreme Kerr-Newman black holes