Rotating Black String and Effective Teukolsky Equation in Braneworld

Abstract

In the Randall-Sundrum two-brane model (RS1), a Kerr black hole on the brane can be naturally identified with a section of rotating black string. To estimate Kaluza-Klein (KK) corrections on gravitational waves emitted by perturbed rotating black strings, we give the effective Teukolsky equation on the brane which is separable equation and hence numerically manageable. In this process, we derive the master equation for the electric part of the Weyl tensor $E_{\mu \nu }$ which would be also useful to discuss the transition from black strings to localized black holes triggered by Gregory-Laflamme instability.

6 pages, references added

References in corpus (6)

• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Radion and Holographic Brane Gravity
• Black Hole Astrophysics in AdS Braneworlds
• From Black Strings to Black Holes
• Braneworld Effective Action at Low Energies
• Holographic View of Cosmological Perturbations

Cited by in corpus (17)

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• Gravitational waves and extra dimensions: a short review
• Gravitational wave from extreme mass-ratio inspirals as a probe of extra dimensions
• Fate of Kaluza-Klein Black Holes: Evaporation or Excision?
• Imprints of extra dimensions in eccentric extreme-mass-ratio inspirals gravitational waveforms
• Brane World Black Rings
• Effective Teukolsky Equation on the Brane
• Extreme mass-ratio inspirals and extra dimensions: Insights from modified Teukolsky framework
• Black String Perturbations in RS1 Model
• Gravity-wave detectors as probes of extra dimensions
• Evaporating (2+1)-dimensional black strings
• Gravitational Waves from Rotating Black Strings
• Implications of the quantum nature of the black hole horizon on the gravitational-wave ringdown
• A Novel Approach to Braneworld