Binary black hole merger in the extreme-mass-ratio limit

2006/12/31 by Alessandro Nagar, Thibault Damour, Angelo Tartaglia · 10 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Binary black hole #Binary number #Black hole (networking) #Gamma-ray bursts and supernovae #Gravitational wave #Limit (mathematics) #Mass ratio #Mathematical analysis #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1088/0264-9381/24/12/s08

published as Class.Quant.Grav.24:S109-S124,2007 · 14 pages, six figures. Revised version. To appear in the CQG special issue based around New Frontiers in Numerical Relativity conference, Golm (Germany), July 17-21 2006

arxiv created 2007/02/09 · openalex publication_date 2007/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract. We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses m1 and m2 in the extreme mass ratio limit m1m2 ≪ (m1+m2) 2. In the spirit of the Effective One Body (EOB) approach to the general relativistic dynamics of binary systems, the dynamics of the two black hole system is represented in terms

Citations

• Consistency of Post-Newtonian Waveforms with Numerical Relativity
• Binary black hole late inspiral: Simulations for gravitational wave observations
• Finite element computation of the gravitational radiation emitted by a pointlike object orbiting a nonrotating black hole
• Effective one-body approach to general relativistic two-body dynamics
• Determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Stability of a Schwarzschild Singularity
• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries

Cited by

• Faithful effective-one-body waveforms of small-mass-ratio coalescing black hole binaries
• Constraining the evolutionary history of Newton’s constant with gravitational wave observations
• Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits
• The general relativistic two body problem
• Setting the cornerstone for a family of models for gravitational waves from compact binaries: The dominant harmonic for nonprecessing quasicircular black holes
• Accurate effective-one-body waveforms of inspiralling and coalescing black-hole binaries
• Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
• Intermediate-mass-ratio black hole binaries: Intertwining numerical and perturbative techniques
• Intermediate-Mass-Ratio Black-Hole Binaries: Numerical Relativity Meets Perturbation Theory
• Persistent junk solutions in time-domain modeling of extreme mass ratio binaries