Orbiting black-hole binaries and apparent horizons in higher dimensions


Type
Article
Change log
Authors
Cook, WG 
Wang, D 
Abstract

We study gravitational wave emission and the structure and formation of apparent horizons in orbiting black-hole binary systems in higher-dimensional general relativity. For this purpose we present an apparent horizon finder for use in higher dimensional numerical simulations and test the finder's accuracy and consistency in single and binary black-hole spacetimes. The black-hole binaries we model in D=6 dimensions complete up to about one orbit before merging or scatter off each other without formation of a common horizon. In agreement with the absence of stable circular geodesic orbits around higher-dimensional black holes, we do not find binaries completing multiple orbits without finetuning of the initial data. All binaries radiate about 0.13% to 0.2% of the total mass-energy in gravitational waves, over an order of magnitude below the radiated energy measured for four-dimensional binaries. The low radiative efficiency is accompanied by relatively slow dynamics of the binaries as expected from the more rapid falloff of the binding gravitational force in higher dimensions.

Description
Keywords
numerical relativity, higher dimensional relativity, black holes, gravitational waves
Journal Title
Classical and Quantum Gravity
Conference Name
Journal ISSN
0264-9381
1361-6382
Volume Title
35
Publisher
IOP Publishing
Sponsorship
Science and Technology Facilities Council (ST/M007065/1)
European Research Council (646597)
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (690904)
Science and Technology Facilities Council (ST/L000636/1)
Science and Technology Facilities Council (ST/H008586/1)
Science and Technology Facilities Council (ST/K00333X/1)
Science and Technology Facilities Council (ST/P000673/1)
Science and Technology Facilities Council (ST/J005673/1)