Evolution of inspiral orbits around a Schwarzschild black hole

Abstract

We present results from calculations of the orbital evolution in eccentric binaries of nonrotating black holes with extreme mass-ratios. Our inspiral model is based on the method of osculating geodesics, and is the first to incorporate the full gravitational self-force (GSF) effect, including conservative corrections. The GSF information is encapsulated in an analytic interpolation formula based on numerical GSF data for over a thousand sample geodesic orbits. We assess the importance of including conservative GSF corrections in waveform models for gravitational-wave searches.

4 pages, 3 figures, Fast GSF calculator code available at: http://www.nielswarburton.net/lib_Sch_GSF/

References in corpus (9)

• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
• Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
• Orbital Evolution of Extreme-Mass-Ratio Black-Hole Binaries with Numerical Relativity
• Gravitational waves from intermediate-mass-ratio inspirals for ground-based detectors
• Probing black holes at low redshift using LISA EMRI observations
• Forced motion near black holes
• Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods

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