1999/10/15 by Vatche Sahakian · 1 citation
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1103/physrevd.62.126011
published as Phys.Rev. D62 (2000) 126011 · 20 pages, 1 figure; minor clarifications, a reference added, and a few typos corrected
arxiv created 1999/10/15 · arxiv updated 2009/11/30
We propose a covariant geometrical expression for the c-function for theories which admit dual gravitational descriptions. We state a c-theorem with respect to this quantity and prove it. We apply the expression to a class of geometries, from domain walls in gauged supergravities, to extremal and near extremal Dp branes, and the AdS Schwarzschild black hole. In all cases, we find agreement with expectations.