Instability of a membrane intersecting a black hole

Abstract

The stability of a Nambu-Goto membrane at the equatorial plane of the Reissner-Nordstrøm-de Sitter spacetime is studied. The covariant perturbation formalism is applied to study the behavior of the perturbation of the membrane. The perturbation equation is solved numerically. It is shown that a membrane intersecting a charged black hole, including extremely charged one, is unstable and that the positive cosmological constant strengthens the instability.

12 pages, 3 figures, to be published in Physical Review D

References in corpus (7)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Brane-World Black Holes
• Exact Description of Black Holes on Branes
• Brane-world creation and black holes
• Black string instabilities in anti-de Sitter space
• Thick Domain Walls Intersecting a Black Hole

Cited by in corpus (7)

• Escape of black holes from the brane
• Reissner-Nordstrom Black Holes and Thick Domain Walls
• Thick domain walls around a black hole
• Thick Domain Walls and Charged Dilaton Black Holes
• Thick Domain Walls in AdS Black Hole Spacetimes
• Stability of branes trapped by d-dimensional black holes
• Static configurations and evolution of higher dimensional brane-dilaton black hole system