Perturbations of the Kerr space-time in horizon penetrating coordinates

Campanelli, Manuela; Khanna, Gaurav; Laguna, Pablo; Pullin, Jorge; Ryan, Michael P.

doi:10.1088/0264-9381/18/8/310

Perturbations of the Kerr space-time in horizon penetrating coordinates

Manuela Campanelli
(
- Potsdam, Max Planck Inst.
)
,
Gaurav Khanna
(
- Penn State U. and
- Long Island U., Southampton
)
,
Pablo Laguna
(
- Penn State U.
)
,
Jorge Pullin
(
- Penn State U.
)
,
Michael P. Ryan
(
- Mexico U., ICN
)

Oct, 2000

8 pages

Published in:

Class.Quant.Grav. 18 (2001) 1543-1554

e-Print:

gr-qc/0010034 [gr-qc]

DOI:

10.1088/0264-9381/18/8/310

Report number:

CGPG-00-10-01,
AEI-2000-062

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Abstract: (arXiv)

We derive the Teukolsky equation for perturbations of a Kerr spacetime when the spacetime metric is written in either ingoing or outgoing Kerr-Schild form. We also write explicit formulae for setting up the initial data for the Teukolsky equation in the time domain in terms of a three metric and an extrinsic curvature. The motivation of this work is to have in place a formalism to study the evolution in the ``close limit'' of two recently proposed solutions to the initial value problem in general relativity that are based on Kerr-Schild slicings. A perturbative formalism in horizon penetrating coordinates is also very desirable in connection with numerical relativity simulations using black hole ``excision''.

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