Orbiting black-hole binaries and apparent horizons in higher dimensions

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.

arXiv comment24 pages, 3 Figures, 3 Tables; to match version published in CQG

References in corpus (63)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• The Confrontation between General Relativity and Experiment
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Tests of general relativity with GW150914
• Lectures on holographic methods for condensed matter physics
• Testing General Relativity with Present and Future Astrophysical Observations
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• On the Numerical Integration of Einstein's Field Equations
• A rotating black ring in five dimensions
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Black Holes in Higher Dimensions
• Evolutions in 3D numerical relativity using fixed mesh refinement
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Numerical Relativity Using a Generalized Harmonic Decomposition
• A single-domain spectral method for black hole puncture data
• A Fast Apparent-Horizon Finder for 3-Dimensional Cartesian Grids in Numerical Relativity
• Black Saturn
• Instability of Ultra-Spinning Black Holes
• Initial Data for Numerical Relativity
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• The large D limit of General Relativity
• Search for new phenomena in dijet events using 37 fb${}^{-1}$ of $pp$ collision data collected at $\sqrt{s}=$13 TeV with the ATLAS detector
• Binary black-hole evolutions of excision and puncture data
• Black Hole Mergers and Unstable Circular Orbits
• Limits on the number of spacetime dimensions from GW170817
• Cross section, final spin and zoom-whirl behavior in high-energy black hole collisions
• Finding Apparent Horizons in Numerical Relativity
• Zoom-Whirl Orbits in Black Hole Binaries
• High-velocity collision of two black holes
• End Point of Black Ring Instabilities and the Weak Cosmic Censorship Conjecture
• Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity
• Bar-mode instability of rapidly spinning black hole in higher dimensions: Numerical simulation in general relativity
• Effective theory of Black Holes in the 1/D expansion
• Evolution and endpoint of the black string instability: Large D solution
• End Point of the Ultraspinning Instability and Violation of Cosmic Censorship
• Exploring New Physics Frontiers Through Numerical Relativity
• Universal quasinormal modes of large D black holes
• Numerical relativity for D dimensional space-times: head-on collisions of black holes and gravitational wave extraction
• Numerical relativity for D dimensional axially symmetric space-times: formalism and code tests
• Pseudo-spectral apparent horizon finders: an efficient new algorithm
• Is super-Planckian physics visible? -- Scattering of black holes in 5 dimensions
• Implementing an apparent-horizon finder in three dimensions
• Test-beds and applications for apparent horizon finders in numerical relativity
• A new general purpose event horizon finder for 3D numerical spacetimes
• Close-limit analysis for head-on collision of two black holes in higher dimensions: Brill-Lindquist initial data
• Close-slow analysis for head-on collision of two black holes in higher dimensions: Bowen-York initial data
• Finding apparent horizons and other two-surfaces of constant expansion
• Revisiting Event Horizon Finders
• Radiation from low-momentum zoom-whirl orbits
• Dimensional reduction in numerical relativity: Modified cartoon formalism and regularization
• Higher-dimensional puncture initial data
• Higher dimensional Numerical Relativity: code comparison
• Trumpet slices of the Schwarzschild-Tangherlini spacetime
• Numerical relativity in higher dimensions

Cited by in corpus (3)

• End point of nonaxisymmetric black hole instabilities in higher dimensions
• Amplification of superkicks in black-hole binaries through orbital eccentricity
• The high-energy collision of black holes in higher dimensions