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Gravitational radiation from Schwarzschild black holes: the second order perturbation formalism

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arxiv gr-qc/9807077 v2 pith:RAWH7XLN submitted 1998-07-29 gr-qc astro-ph

Reinaldo Gleiser , Carlos Nicasio , Richard Price , Jorge Pullin This is my paper
classification gr-qcastro-ph
keywords perturbationblackordersecondholesradiationtheoryestimates
verification ladder T0 review T1 audit T2 compute T3 formal
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The perturbation theory of black holes has been useful recently for providing estimates of gravitational radiation from black hole collisions. Second order perturbation theory, relatively undeveloped until recently, has proved to be important both for providing refined estimates and for indicating the range of validity of perturbation theory. Here we present the second order formalism for perturbations of Schwarzschild spacetimes. The emphasis is on practical methods for carrying out second order computations of outgoing radiation. General issues are illustrated throughout with examples from ``close-limit'' results, perturbation calculations in which black holes start from small separation.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring

    gr-qc 2025-09 conditional novelty 7.0 of 10

    Second-order gravitational perturbations on plane waves are solved with a GHP master equation and tensor harmonics, yielding quadratic quasinormal mode ratios and selection rules.

  2. Excitation factors for horizonless compact objects: long-lived modes, echoes, and greybody factors

    gr-qc 2025-11 unverdicted novelty 6.0 of 10

    Excitation factors of long-lived quasinormal modes in horizonless compact objects scale with their small imaginary frequency, suppressing early contributions and producing a hierarchy where prompt ringdown uses ordina...

  3. The AdS Perspective on the Nonlinear Tails in Black Hole Ringdown

    gr-qc 2025-06 conditional novelty 5.0 of 10

    The known t^{-(2L+2)} nonlinear ringdown tail is rederived via AdS2 x S2, with a proposed but incorrectly normalized Aretakis amplitude relation.

  4. Greybody factors, reflectionless scattering modes, and echoes of ultracompact horizonless objects

    gr-qc 2025-01 unverdicted novelty 5.0 of 10

    High-frequency quasi-reflectionless scattering modes in the greybody factors of ultracompact horizonless objects are responsible for echoes in the time-domain response.

  5. The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective

    gr-qc 2025-07 conditional novelty 4.0 of 10

    Nonlinear ringdown tails in the transverse-traceless gauge decay as t^{-(2ℓ+1)}, and this paper rederives that law from in-in scattering diagrams.

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