A Dirichlet-type integral on spheres, applied to the fluid/gravity correspondence

Physics – Mathematical Physics

Scientific paper

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5 pages

Scientific paper

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.

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