A Dirichlet-type integral on spheres, applied to the fluid/gravity correspondence
Abstract
We evaluate an analogue of an integral of Dirichlet over the sphere SD, 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 SD and black holes in (D + 2)-dimensional anti-de Sitter spacetime.
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