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Black string perturbations in RS1 model

Sugumi Kanno
(
- Kyoto U.
)
,
Jiro Soda
(
- Kyoto U.
)

Aug, 2005

14 pages

Part of General relativity and gravitation. Proceedings, 4th Australasian Conference, ACGRG4, Melbourne, Australia, January 7-10, 2004

Published in:

Gen.Rel.Grav. 37 (2005) 1651-1662

Contribution to:

4th Australasian Conference on General Relativity and Gravitation (ACGRG4)

e-Print:

gr-qc/0508084 [gr-qc]

DOI:

10.1007/s10714-005-0142-8

View in:

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Abstract: (arXiv)

We present a general formalism for black string perturbations in Randall-Sundrum 1 model (RS1). First, we derive the master equation for the electric part of the Weyl tensor

E_{\mu\nu}

. Solving the master equation using the gradient expansion method, we give the effective Teukolsky equation on the brane at low energy. It is useful to estimate gravitational waves emitted by perturbed rotating black strings. We also argue the effect of the Gregory-Laflamme instability on the brane using our formalism.

04.50.+h
98.80.Hw
98.80.Cq
Teukolsky equation
Gregory-Laflamme instability
Gravitational waves
Brane

References(23)

Figures(0)

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