A Dirichlet-type integral on spheres, applied to the fluid/gravity correspondence
Mathematical Physics
2011-03-31 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We evaluate an analogue of an integral of Dirichlet over the sphere S^D, but with an integrand that is independent of [(D + 1)/2] Killing coordinates. As an application, we evaluate an integral that arises when comparing a conformal fluid on S^D and black holes in (D + 2)-dimensional anti-de Sitter spacetime.
Keywords
Cite
@article{arxiv.1103.5759,
title = {A Dirichlet-type integral on spheres, applied to the fluid/gravity correspondence},
author = {David D. K. Chow},
journal= {arXiv preprint arXiv:1103.5759},
year = {2011}
}
Comments
5 pages