A topologically flat thick 2-brane on higher dimensional black hole backgrounds
arXiv:1102.3714 · doi:10.1103/PhysRevD.83.064026
Abstract
We present a numerical solution for a topologically flat 2-dimensional thick brane on a higher dimensional, spherically symmetric black hole background. Present solution is the last, missing part of the complete set of solutions for the thickness corrected brane-black hole problem in arbitrary number of dimensions. We show that the 2-dimensional case is special compared to all the higher dimensional solutions in the topologically Minkowskian family as being non-analytic at the axis of the system. We provide the numerical solution in the near horizon region and make a comparison with the infinitely thin case.
9 pages, 4 figures, to appear in Phys. Rev. D
References in corpus (14)
- Holographic Phase Transitions with Fundamental Matter
- Thermodynamics of the brane
- The Phase Transition between Caged Black Holes and Black Strings - A Review
- Topology change in General Relativity and the black-hole black-string transition
- Merger Transitions in Brane--Black-Hole Systems: Criticality, Scaling, and Self-Similarity
- Curvature Corrections to Dynamics of Domain Walls
- Escape of black holes from the brane
- Dynamics of domain walls intersecting black holes
- Curvature corrections and topology change transition in brane-black hole systems: A perturbative approach
- Branes and Black holes in Collision
- A Toy Model for Topology Change Transitions: Role of Curvature Corrections
- Thick brane solutions and topology change transition on black hole backgrounds
- Formation of Higher-dimensional Topological Black Holes
- Stability of branes trapped by d-dimensional black holes
Cited by in corpus (6)
- Quantum Near Horizon Geometry of Black 0-Brane
- Perforation of domain wall by point mass
- Branestrahlung: radiation in the particle-brane collision
- Dark matter cosmic string in the gravitational field of a black hole
- Axisymmetric Dirac-Nambu-Goto branes on Myers-Perry black hole backgrounds
- Thick Dirac-Nambu-Goto branes on black hole backgrounds