In any static spacetime the quasilocal Tolman mass contained within a volume
can be reduced to a Gauss-like surface integral involving the flux of a
suitably defined generalized surface gravity. By introducing some basic
thermodynamics, and invoking the Unruh effect, one can then develop elementary
bounds on the quasilocal entropy that are very similar in spirit to the
holographic bound, and closely related to entanglement entropy.Comment: 4 pages. Prepared for the proceedings of the Spanish Relativity
meeting (ERE2010), Granada, Spain, 6-10 Sep 201