The energy momentum tensor of perfect fluid is a
simplified but successful model in astrophysics. In this paper, assuming the
particles driven by gravity and moving along geodesics, we derived the functions
of state in detail. The results show that, these functions have a little
correction for the usual thermodynamics. The new functions naturally satisfy
the causal condition and consist with relativity. For the self-potentials of
the particles, we introduce
an extra function W, which acts like
negative pressure and can be used to describe dark matter. The results are
helpful to understand the relation and interaction between space-time and
matter.
Cite this paper
Gu, Y. (2017). Functions of State for Spinor Gas in General Relativity. Open Access Library Journal, 4, e3953. doi: http://dx.doi.org/10.4236/oalib.1103953.
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