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Late time dynamics of scalar perturbations outside black holes: I. A shell toy-model

Late time dynamics of scalar perturbations outside black holes: I. A shell toy-model
Late time dynamics of scalar perturbations outside black holes: I. A shell toy-model
We present a new analytic approach for the study of late time evolution of linear test-fields, propagating on the exterior of black holes. This method provides a calculation scheme applicable to Kerr black holes (for which case no analytic calculation of the late time tails has been presented so far). In this paper we develop the new technique and apply it to the case of massless scalar waves evolving on the background geometry of a static spherically symmetric thin shell with a Schwarzschild exterior. The late time behavior of the scalar field at null infinity is calculated, and is explicitly related to the form of (quite arbitrary) initial data. This reproduces the well-known late time power-law decaying tails. In an accompanying paper we apply our approach to the complete Schwarzschild black hole geometry, where we obtain the familiar inverse-power late time tails at null infinity, as well as at time-like infinity and along the event horizon. A calculation of the late time power-law tails in the Kerr geometry, based on the same approach, will be presented in a forthcoming paper.
1550-7998
20pp
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298

Barack, Leor (1999) Late time dynamics of scalar perturbations outside black holes: I. A shell toy-model. Physical Review D, 59 (44016), 20pp. (doi:10.1103/PhysRevD.59.044016).

Record type: Article

Abstract

We present a new analytic approach for the study of late time evolution of linear test-fields, propagating on the exterior of black holes. This method provides a calculation scheme applicable to Kerr black holes (for which case no analytic calculation of the late time tails has been presented so far). In this paper we develop the new technique and apply it to the case of massless scalar waves evolving on the background geometry of a static spherically symmetric thin shell with a Schwarzschild exterior. The late time behavior of the scalar field at null infinity is calculated, and is explicitly related to the form of (quite arbitrary) initial data. This reproduces the well-known late time power-law decaying tails. In an accompanying paper we apply our approach to the complete Schwarzschild black hole geometry, where we obtain the familiar inverse-power late time tails at null infinity, as well as at time-like infinity and along the event horizon. A calculation of the late time power-law tails in the Kerr geometry, based on the same approach, will be presented in a forthcoming paper.

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Published date: February 1999

Identifiers

Local EPrints ID: 48002
URI: http://eprints.soton.ac.uk/id/eprint/48002
ISSN: 1550-7998
PURE UUID: 5f4aad0d-4c47-4bf3-8e2e-9b868301ffe0
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

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Date deposited: 20 Aug 2007
Last modified: 10 Dec 2019 01:44

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