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Black Hole Perturbations: A Review of Recent Analytical Results

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Abstract

We review the gravitational self-force program to analytically compute first-order metric perturbations in a Schwarzschild black hole spacetime in the case of a perturbing (small) mass moving on a slightly eccentric equatorial orbit. The perturbed metric components should then be combined into gauge-invariant quantities to be associated with physical observables. In this way, for example, one determines the various “potentials” entering the Effective-One-Body model, i.e., a powerful formalism for the description of the gravitational interaction of two masses, which is currently successfully used for the analysis of gravitational wave signals.

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Acknowledgements

We thank Prof. T. Damour for useful discussions. D.B. thanks ICRANet for partial support and the organizers of the meeting for a high scientific level conference framed in a very unique place.

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  1. Istituto per le Applicazioni del Calcolo “M. Picone”, via dei Taurini 19, 00185, Rome, Italy

    Donato Bini & Andrea Geralico

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  1. Donato Bini
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  2. Andrea Geralico
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Correspondence to Donato Bini.

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Bini, D., Geralico, A. Black Hole Perturbations: A Review of Recent Analytical Results. Found Phys 48, 1349–1363 (2018). https://doi.org/10.1007/s10701-018-0187-7

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  • DOI: https://doi.org/10.1007/s10701-018-0187-7

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