On thermodynamics of black p-branes

Thermodynamic properties of a class of black p-branes which are related by double dimensional reduction are investigated semi-classically. For black (d − 1)-brane in D dimensions, thermodynamic quantities depend on D and d only through the combination d ≡ D − d − 2, that is, they are invariant under double dimensional reduction. The behavior of the Hawking temperature and the lifetime vary with d, with a certain critical value. Above the critical value, there remains a remanant, in which non-zero entropy is stored. Implications of the fact that the Bekenstein-Hawking entropy of the black (d − 1)-brane in D-dimensions depend only on d = D − d − 2 is discussed from the point of view of duality.