Black branes with cosmological constant

Abstract

We study neutral black branes with flat and curved worldvolumes in the presence of a negative cosmological constant. We reduce the equations governing the dynamics of such objects to one second--order ODE and perform various asymptotic expansions of the resulting equation. We also analyze regular geometries which have the same symmetries as the branes and interpolate between an empty interior and AdS asymptotics. We show that the dynamics of such spacetimes is governed by the Abel equation.

arXiv comment33 pages

References in corpus (33)

• Dirichlet-Branes and Ramond-Ramond Charges
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Black Strings and p-Branes are Unstable
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• Brane Dynamics From the Born-Infeld Action
• The General Kerr-de Sitter Metrics in All Dimensions
• The Instability of Charged Black Strings and p-Branes
• Solitonic Strings and BPS Saturated Dyonic Black Holes
• Holographic Wilson Loops
• Black Hole Solutions in Heterotic String Theory on a Torus
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Strong-Weak Coupling Duality in Three Dimensional String Theory
• General Static Spherically Symmetric Black Holes of Heterotic String on a Six Torus
• On gravitational description of Wilson lines
• Topology change in General Relativity and the black-hole black-string transition
• Connecting black holes and black strings
• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Gravity duals of half-BPS Wilson loops
• Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
• `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
• Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes
• Bubbling Geometries for Half BPS Wilson lines
• Separability and Killing Tensors in Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions
• Maxwell's Equations in the Myers-Perry Geometry
• Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
• Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes
• Black string solutions with negative cosmological constant
• Gravity Dual of Gauge Theory on S^2 x S^1 x R
• On the stability of AdS black strings
• Excitations of the Myers-Perry Black Holes
• Perturbative non uniform black strings in ${AdS}_6$
• New stable phase of non uniform black strings in ${AdS}_d$