Modelling general relativistic perfect fluids in field theoretic language

Details Modelling general relativistic perfect fluids in field theoretic language Modelling general relativistic perfect fluids in field theoretic language

1998-11-23

arxiv.org/abs/gr-qc/9811077v1

Int.J.Theor.Phys. 38 (1999) 997-1016

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 0 figures (LaTeX)

Scientific paper

Skew-symmetric massless fields, their potentials being $r$-forms, are close analogues of Maxwell's field (though the non-linear cases also should be considered). We observe that only two of them ($r=$2 and 3) automatically yield stress-energy tensors characteristic to normal perfect fluids. It is shown that they naturally describe both non-rotating ($r=2$) and rotating (then a combination of $r=2$ and $r=3$ fields is indispensable) general relativistic perfect fluids possessing every type of equations of state. Meanwile, a free $r=3$ field is completely equivalent to appearance of the cosmological term in Einstein's equations. Sound waves represent perturbations propagating on the background of the $r=2$ field. Some exotic properties of these two fields are outlined.

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