Mathematics – Logic
Scientific paper
Jun 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..43.3861h&link_type=abstract
Physical Review D (Particles and Fields), Volume 43, Issue 12, 15 June 1991, pp.3861-3872
Mathematics
Logic
6
Scientific paper
The first law of thermodynamics is derived for bounded, static, spherically symmetric spacetimes which include a matter distribution and either a black-hole or cosmological horizon. Heat capacities associated with horizon/matter systems are calculated. It is found that if the surface area of the boundary is held fixed, the heat capacity of a system including a black hole can always be made positive by including a matter distribution of sufficient density. The heat capacity associated with a system including a cosmological horizon and a matter distribution may be positive or negative depending on the matter configuration, but must always be negative in the limit that the boundary approaches the horizon. A discussion is given of the case in which the cosmological constant is allowed to vary. It is found that the Hawking-Coleman mechanisms for explaining the low value of the cosmological constant are not well defined.
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