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Late time dynamics of scalar perturbations outside black holes: II. Schwarzschild geometry

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arxiv gr-qc/9811028 v1 pith:W4MXDZCC submitted 1998-11-10 gr-qc

classification gr-qc
keywords latetimeblackinfinityoutsidescalarbehaviorhole
verification ladder T0 review T1 audit T2 compute T3 formal
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We apply a new analytic scheme, developed in a preceding paper, in order to calculate the late time behavior of scalar test fields evolving outside a Schwarzschild black hole. The pattern of the late time decay at future null infinity is found to be the same as in the shell toy-model studied in the preceding paper. A simple late time expansion of the scalar field is then used, relying on the results at null infinity, to construct a complete picture of the late time wave behavior anywhere outside the black hole. This reproduces the well known power-law tails at time-like infinity and along the event horizon. The main motivation for the introduction of the new approach arises from its applicability to rotating black holes, as shall be discussed in a forthcoming paper.

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Cited by 3 Pith papers

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

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    gr-qc 2025-07 conditional novelty 7.0 of 10

    A pseudo-Hamiltonian reformulation of 1PA self-force dynamics yields local, invariant action-angle evolution equations and an embedded conservative Hamiltonian whose on-shell energy equals the first-law binding energy.

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    gr-qc 2025-11 conditional novelty 5.0 of 10

    Late-time gravitational-wave tails from eccentric, spin-aligned black hole mergers decay as t^-(l+4) for psi4 in all six modes studied, with same-l modes sharing identical exponents.

  3. 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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