Black String Perturbations in RS1 Model

Details Black String Perturbations in RS1 Model Black String Perturbations in RS1 Model

2005-08-20

arxiv.org/abs/gr-qc/0508084v1

Gen.Rel.Grav.37:1651-1662,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, Based on a talk presented at ACRGR4, the 4th Australasian Conference on General Relativity and Gravitation, Monash U

Scientific paper

10.1007/s10714-005-0142-8

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.

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