Exact Black Holes and Gravitational Shockwaves on Codimension-2 Branes
arXiv:hep-th/0601110 · doi:10.1088/1126-6708/2006/03/077
Abstract
We derive exact gravitational fields of a black hole and a relativistic particle stuck on a codimension-2 brane in dimensions when gravity is ruled by the bulk -dimensional Einstein-Hilbert action. The black hole is locally the higher-dimensional Schwarzschild solution, which is threaded by a tensional brane yielding a deficit angle and includes the first explicit example of a `small' black hole on a tensional 3-brane. The shockwaves allow us to study the large distance limits of gravity on codimension-2 branes. In an infinite locally flat bulk, they extinguish as , i.e. as on a 3-brane in , manifestly displaying the full dimensionality of spacetime. We check that when we compactify the bulk, this special case correctly reduces to the 4D Aichelburg-Sexl solution at large distances. Our examples show that gravity does not really obstruct having general matter stress-energy on codimension-2 branes, although its mathematical description may be more involved.
18 pages, LaTeX; v2: added references, version to appear in JHEP
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Cited by in corpus (57)
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