Merger Transitions in Brane--Black-Hole Systems: Criticality, Scaling, and Self-Similarity

Details Merger Transitions in Brane--Black-Hole Systems: Criticality, Scaling, and Self-Similarity Merger Transitions in Brane--Black-Hole Systems: Criticality, Scaling, and Self-Similarity

2006-04-26

arxiv.org/abs/gr-qc/0604114v2

Phys.Rev. D74 (2006) 044006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages 2 figures; additional remarks and references are added at Section IX "Discussion"

Scientific paper

10.1103/PhysRevD.74.044006

We propose a toy model for study merger transitions in a curved spaceime with an arbitrary number of dimensions. This model includes a bulk N-dimensional static spherically symmetric black hole and a test D-dimensional brane interacting with the black hole. The brane is asymptotically flat and allows O(D-1) group of symmetry. Such a brane--black-hole (BBH) system has two different phases. The first one is formed by solutions describing a brane crossing the horizon of the bulk black hole. In this case the internal induced geometry of the brane describes D-dimensional black hole. The other phase consists of solutions for branes which do not intersect the horizon and the induced geometry does not have a horizon. We study a critical solution at the threshold of the brane-black-hole formation, and the solutions which are close to it. In particular, we demonstrate, that there exists a striking similarity of the merger transition, during which the phase of the BBH-system is changed, both with the Choptuik critical collapse and with the merger transitions in the higher dimensional caged black-hole--black-string system.

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