Regularization of the second-order gravitational perturbations produced by a compact object

Abstract

The equations for the second-order gravitational perturbations produced by a compact-object have highly singular source terms at the point particle limit. At this limit the standard retarded solutions to these equations are ill-defined. Here we construct well-defined and physically meaningful solutions to these equations. These solutions are important for practical calculations: the planned gravitational-wave detector LISA requires preparation of waveform templates for the potential gravitational-waves. Construction of templates with desired accuracy for extreme mass ratio binaries, in which a compact-object inspirals towards a supermassive black-hole, requires calculation of the second-order gravitational perturbations produced by the compact-object.

12 pages, discussion expanded, to be published in Phys. Rev. D Rapid Communication

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Cited by in corpus (10)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Self-force and radiation reaction in general relativity
• Gravitational radiation reaction and second order perturbation theory
• Hyperboloidal framework for the Kerr spacetime
• Second-order gravitational self-force
• Construction of the second-order gravitational perturbations produced by a compact object
• Impact of the second order self-forces on the dephasing of the gravitational waves from quasi-circular extreme mass-ratio inspirals
• A nonlinear scalar model of extreme mass ratio inspirals in effective field theory I. Self force through third order
• Regular second order perturbations of binary black holes: The extreme mass ratio regime
• Modulation of the gravitational waveform by the effect of radiation reaction