C-Functions in Lovelock Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, 3 figures, v2-references added, few comments added

Scientific paper

10.1088/1126-6708/2008/05/061

We present C-functions for static and spherically symmetric spacetimes in Lovelock gravity theories. These functions are monotonically increasing functions of the outward radial coordinate and acquire their minima when evaluated on the horizon. Unlike the case of Einstein gravity, where there is a single C-function, we find that this function is non-unique in the case of Lovelock gravity. We define two C-functions, which agree at the horizon giving the black hole entropy, and state the different energy conditions that must hold in order for these functions to satisfy the monotonicity condition.

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