Stability of branes trapped by d-dimensional black holes

Journal Article · Thu Oct 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.084011· OSTI ID:21325355

Hioki, Kenta ^[1]; Miyamoto, Umpei ^[2]; Nozawa, Masato ^[1]

---

1. Department of Physics, Waseda University, Okubo 3-4-1, Tokyo 169-8555 (Japan)
2. Racah Institute of Physics, Hebrew University, Givat Ram, Jerusalem 91904 (Israel)

The system of extended objects interacting with a black hole describes or mimics various gravitational phenomena. In this brief paper, we report the results of stability analysis of codimension-one Dirac-Nambu-Goto branes at rest at the equatorial plane of d-dimensional spherical black holes, including the Schwarzschild and Schwarzschild-(anti-)de Sitter black holes. For the Schwarzschild and Schwarzschild-anti-de Sitter backgrounds the stability of branes is shown analytically by means of a deformation technique. In contrast, for the Schwarzschild-de Sitter background we demonstrate with the help of numerics that the brane is unstable (only) against the s-wave sector of perturbations.

• OSTI ID: 21325355
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
ANTI DE SITTER SPACE
BLACK HOLES
BRANES
DE SITTER SPACE
DISTURBANCES
PERTURBATION THEORY
S WAVES
SCHWARZSCHILD METRIC
SPHERICAL CONFIGURATION
STABILITY