References
J. L. Synge:The Relativistic Gas, Chapter VI (Amsterdam, 1957).
S. R. de Groot, C. G. van Weert, W. Th. Hermens andW. A. van Leeuwen:Physica,40, 257 (1968).
Latin indices take values 1, 2, 3, 4 and the co-ordinate systemX a is such that the metric tensor is the Kronecker deltaδ ab,X 4=it andc=1.
J. L. Synge:The Relativistic Gas, Chapter I (Amsterdam, 1957).
The argument of the exponential here could more generally be writtenp(X)+q(X)m+b r (X)M r . However we can always factorm fromp(X) to recover the form given in (8).
«Constant» here means constant along the world-lines with tangentU r which form the tube of cross-section σ.
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Hogan, P.A. On the derivation of the adiabatic law for an equilibrium photon gas. Lett. Nuovo Cimento 8, 878–880 (1973). https://doi.org/10.1007/BF02727402
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DOI: https://doi.org/10.1007/BF02727402