Effective spatial dimension of extremal non-dilatonic black p-branes and the description of entropy on the world volume

Abstract

By investigating the critical behavior appearing at the extremal limit of the non-dilatonic, black p-branes in (d+p) dimensions, we find that some critical exponents related to the critical point obey the scaling laws. From the scaling laws we obtain that the effective spatial dimension of the non-dilatonic black holes and black strings is one, and is p for the non-dilatonic black p-branes. For the dilatonic black holes and black p-branes, the effective dimension will depend on the parameters in theories. Thus, we give an interpretation why the Bekenstein-Hawking entropy may be given a simple world volume interpretation only for the non-dilatonic black p-branes.

4 pages, RevTex, no figures, to appear in Phys. Rev. Lett

References in corpus (1)

• Critical behavior in 2+1 dimensional black holes

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