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arXiv · hep-th/0601110

Exact Black Holes and Gravitational Shockwaves on Codimension-2 Branes

Nemanja Kaloper·Derrick Kiley
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Abstract

We derive exact gravitational fields of a black hole and a relativistic particle stuck on a codimension-2 brane in $D$ dimensions when gravity is ruled by the bulk $D$-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 $1/r^{D-4}$, i.e. as $1/r^2$ on a 3-brane in $6D$, 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.

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Nemanja Kaloper, Derrick Kiley. 2006-03-12. Exact Black Holes and Gravitational Shockwaves on Codimension-2 Branes. https://doi.org/10.1088/1126-6708%2F2006%2F03%2F077

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