Thick Dirac-Nambu-Goto branes on black hole backgrounds

Abstract

Thickness corrections to static, axisymmetric Dirac-Nambu-Goto branes embedded into spherically symmetric black hole spacetimes with arbitrary number of dimensions are studied. First, by applying a perturbative approximation, it is found that the thick solutions deviate significantly in their analytic properties from the thin ones near the axis of the system, and perturbative approaches around the thin configurations can not provide regular thick solutions above a certain dimension. For the general case, a non-perturbative, numerical approach is applied and regular solutions are obtained for arbitrary brane and bulk dimensions. As a special case, it has been found that 2-dimensional branes are exceptional, as they share their analytic properties with the thin branes rather than the thick solutions of all other dimensions.

4 pages, 2 figures, Proceedings of the Spanish Relativity Meeting in Portugal ERE2012

References in corpus (7)

• Holographic Phase Transitions with Fundamental Matter
• Thermodynamics of the brane
• Merger Transitions in Brane--Black-Hole Systems: Criticality, Scaling, and Self-Similarity
• Curvature corrections and topology change transition in brane-black hole systems: A perturbative approach
• A Toy Model for Topology Change Transitions: Role of Curvature Corrections
• Thick brane solutions and topology change transition on black hole backgrounds
• A topologically flat thick 2-brane on higher dimensional black hole backgrounds