Superposed metric for spinning black hole binaries approaching merger
arXiv:2103.15707 · doi:10.1103/PhysRevD.104.044041
Abstract
We construct an approximate metric that represents the spacetime of spinning binary black holes (BBH) approaching merger. We build the metric as an analytical superposition of two Kerr metrics in harmonic coordinates, where we transform each black hole term with time-dependent boosts describing an inspiral trajectory. The velocities and trajectories of the boost are obtained by solving the post-Newtonian (PN) equations of motion at 3.5 PN order. We analyze the spacetime scalars of the new metric and we show that it is an accurate approximation of Einstein's field equations in vacuum for a BBH system in the inspiral regime. Furthermore, to prove the effectiveness of our approach, we test the metric in the context of a 3D general relativistic magneto-hydrodynamical (GRMHD) simulation of accreting mini-disks around the black holes. We compare our results with a previous well-tested spacetime construction based on the asymptotic matching method. We conclude that our new spacetime is well-suited for long-term GRMHD simulations of spinning binary black holes on their way to the merger.
arXiv commentAccepted for publication in Physical Review D
References in corpus (90)
- Array Programming with NumPy
- The M-sigma and M-L Relations in Galactic Bulges and Determinations of their Intrinsic Scatter
- Evolution of Binary Black Hole Spacetimes
- Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
- Gravitational wave extraction from an inspiraling configuration of merging black holes
- HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
- Black holes in galaxy mergers: The formation of red elliptical galaxies
- Formation of Supermassive Black Holes
- The motion of point particles in curved spacetime
- Theoretical Challenges in Galaxy Formation
- Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
- A Measurement of the Electromagnetic Luminosity of a Kerr Black Hole
- How Do Massive Black Holes Get Their Gas?
- An Eccentric Circumbinary Accretion Disk and the Detection of Binary Massive Black Holes
- Binary Black Hole Accretion From a Circumbinary Disk: Gas Dynamics Inside the Central Cavity
- Spinning-black-hole binaries: The orbital hang up
- The Romulus Cosmological Simulations: A Physical Approach to the Formation, Dynamics and Accretion Models of SMBHs
- Conformal ``thin sandwich'' data for the initial-value problem of general relativity
- Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics
- A Comparison of search templates for gravitational waves from binary inspiral
- The International Pulsar Timing Array: Second data release
- The Astrophysics of Nanohertz Gravitational Waves
- The Afterglow of Massive Black Hole Coalescence
- Three Dimensional MHD Simulation of Circumbinary Accretion Disks: Disk Structures and Angular Momentum Transport
- Detecting gravitational waves from precessing binaries of spinning compact objects: Adiabatic limit
- Accretion into the Central Cavity of a Circumbinary Disk
- Extrinsic Curvature and the Einstein Constraints
- Massive Black Hole Binary Mergers in Dynamical Galactic Environments
- Direct calculation of the radiative efficiency of an accretion disk around a black hole
- Spin Flips and Precession in Black-Hole-Binary Mergers
- Dual Jets from Binary Black Holes
- Circumbinary MHD Accretion into Inspiraling Binary Black Holes
- Binary-black-hole initial data with nearly-extremal spins
- Relativistic boost as the cause of periodicity in a massive black-hole binary candidate
- Excision boundary conditions for black hole initial data
- Massive binary black holes in galactic nuclei and their path to coalescence
- Binary Black-Hole Mergers in Magnetized Disks: Simulations in Full General Relativity
- Magnetospheres of Black Hole Systems in Force-Free Plasma
- Hydrodynamics of galaxy mergers with supermassive black holes: is there a last parsec problem ?
- The late inspiral of supermassive black hole binaries with circumbinary gas discs in the LISA band
- Binary Black Hole Accretion During Inspiral and Merger
- Observational Signatures of Binary Supermassive Black Holes
- Accretion disks around binary black holes of unequal mass: GRMHD simulations near decoupling
- The Kerr spacetime: A brief introduction
- The Laser Interferometer Space Antenna: Unveiling the Millihertz Gravitational Wave Sky
- The NINJA-2 catalog of hybrid post-Newtonian/numerical-relativity waveforms for non-precessing black-hole binaries
- Characteristic Signatures in the Thermal Emission from Accreting Binary Black Holes
- A transition in circumbinary accretion discs at a binary mass ratio of 1:25
- Three Dimensional MHD Simulation of Circumbinary Accretion Disks -2. Net Accretion Rate
- Accurate Simulations of Binary Black-Hole Mergers in Force-Free Electrodynamics
- Electromagnetic Emission from Supermassive Binary Black Holes Approaching Merger
- General Relativistic Simulations of Magnetized Plasmas around Merging Supermassive Black Holes
- Accretion disks around binary black holes of unequal mass: GRMHD simulations of postdecoupling and merger
- Binary black hole mergers in gaseous disks: Simulations in general relativity
- Initial Data and Coordinates for Multiple Black Hole Systems
- Length measurement in accelerated systems
- Final spin and radiated energy in numerical simulations of binary black holes with equal masses and equal, aligned or anti-aligned spins
- Quasi-Periodic Behavior of Mini-Disks in Binary Black Holes Approaching Merger
- On the detectability of dual jets from binary black holes
- Swift coalescence of supermassive black holes in cosmological mergers of massive galaxies
- Understanding possible electromagnetic counterparts to loud gravitational wave events: Binary black hole effects on electromagnetic fields
- A comparison of search templates for gravitational waves from binary inspiral - 3.5PN update
- Relativistic Mergers of Supermassive Black Holes and their Electromagnetic Signatures
- Mergers of Supermassive Black Holes in Astrophysical Environments
- Relativistic Dynamics and Mass Exchange in Binary Black Hole Mini-Disks
- Minidisks in Binary Black Hole Accretion
- Quasi-Periodicity of Supermassive Binary Black Hole Accretion Approaching Merger
- Stellar binary black holes in the LISA band: a new class of standard sirens
- Mass-ratio and Magnetic Flux-Dependence of Modulated Accretion from Circumbinary Disks
- Binary black hole initial data from matched asymptotic expansions
- The birth of a supermassive black hole binary
- The hangup effect in unequal mass binary black hole mergers and further studies of their gravitational radiation and remnant properties
- Spin flips in generic black hole binaries
- Improved initial data for black hole binaries by asymptotic matching of post-Newtonian and perturbed black hole solutions
- Flip-flopping binary black holes
- Circumbinary Disk Accretion into Spinning Black Hole Binaries
- Population Estimates for Electromagnetically-Distinguishable Supermassive Binary Black Holes
- Estimating the Prompt Electromagnetic Luminosity of a Black Hole Merger
- Approximate black hole binary spacetime via asymptotic matching
- Energy extraction from boosted black holes: Penrose process, jets, and the membrane at infinity
- Comparison of binary black hole initial data sets
- Resolving the relative influence of strong field spacetime dynamics and MHD on circumbinary disk physics
- Inspiralling, Non-Precessing, Spinning Black Hole Binary Spacetime via Asymptotic Matching
- Dynamic Fisheye Grids for Binary Black Holes Simulations
- Asymptotically Matched Spacetime Metric for Non-Precessing, Spinning Black Hole Binaries
- Electromagnetic Emission from a Binary Black Hole Merger Remnant in Plasma: Field Alignment and Plasma Temperature
- Gravitational Wave Beacons
- Astro2020 Decadal Science White Paper: The state of gravitational-wave astrophysics in 2020
- Spinning, Precessing, Black Hole Binary Spacetime via Asymptotic Matching
- Comparing an analytical spacetime metric for a merging binary to a fully nonlinear numerical evolution using curvature scalars