Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-02-10
Phys.Rev.D62:044012,2000
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 1 figure, latex, JHEP.cls
Scientific paper
10.1103/PhysRevD.62.044012
We discuss the properties of black holes in brane-world scenarios where our universe is viewed as a four-dimensional sub-manifold of some higher-dimensional spacetime. We consider in detail such a model where four-dimensional spacetime lies at the junction of several domain walls in a higher dimensional anti-de Sitter spacetime. In this model there may be any number p of infinitely large extra dimensions transverse to the brane-world. We present an exact solution describing a black p-brane which will induce on the brane-world the Schwarzschild solution. This exact solution is unstable to the Gregory-Laflamme instability, whereby long-wavelength perturbations cause the extended horizon to fragment. We therefore argue that at late times a non-rotating uncharged black hole in the brane-world is described by a deformed event horizon in p+4 dimensions which will induce, to good approximation, the Schwarzschild solution in the four-dimensional brane world. When p=2, this deformed horizon resembles a black diamond and more generally for p>2, a polyhedron.
Chamblin Andrew
Csa'ki Csaba
Erlich Joshua
Hollowood Timothy J.
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