Physics – General Physics
Scientific paper
2011-04-29
Found.Phys.41:1454-1461,2011
Physics
General Physics
4 pages; Published in Foundations of Physics (2011, online)
Scientific paper
10.1007/s10701-011-9557-0
We emphasize that the pressure related work appearing in a general relativistic first law of thermodynamics should involve {\em proper volume element} rather than coordinate volume element. This point is highlighted by considering both local energy momentum conservation equation as well as particle number conservation equation. It is also emphasized that we are considering here a {\em non-singular} fluid governed by purely classical general relativity. Therefore, we are not considering here any semi-classical or quantum gravity which apparently suggests thermodynamical properties even for a (singular) black hole. Having made such a clarification, we formulate a global first law of thermodynamics for an adiabatically evolving spherical perfect fluid. It may be verified that such a global first law of thermodynamics, {\em for a non-singular fluid}, has not been formulated earlier.
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