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Modelling general relativistic perfect fluids in field theoretic language | | Nikolai V. Mitskievich
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23 Nov 1998 | | Journal: | Int.J.Theor.Phys. 38 (1999) 997-1016 | | Subject: | gr-qc | | Affiliation: | Universidad de Guadalajara, Mexico | | Abstract: | 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. | | Source: | arXiv, gr-qc/9811077 | | Services: | Forum | Review | PDF | Favorites | |
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