Black String Perturbations in RS1 Model

Abstract

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.

14 pages, Based on a talk presented at ACRGR4, the 4th Australasian Conference on General Relativity and Gravitation, Monash University, Melbourne, January 2004. To appear in the proceedings, in General Relativity and Gravitation

References in corpus (5)

• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Classical black hole evaporation in Randall-Sundrum infinite braneworld
• Brane World Effective Action at Low Energies and AdS/CFT Correspondence
• Radionic Non-uniform Black Strings
• Rotating Black String and Effective Teukolsky Equation in Braneworld

Cited by in corpus (3)

• Extra dimensions in CERN LHC via mini-black holes: effective Kerr-Newman brane-world effects
• Fate of Kaluza-Klein Black Holes: Evaporation or Excision?
• Brane World Black Rings