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arXiv · 0707.3190

Electromagnetism and perfect fluids interplay in multidimensional spacetimes

N. V. Mitskievich
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Abstract

We consider fields in (D>2)-dimensional spacetime, whose potential is r-form (skew-symmetric tensor of rank r), the field tensor F being its exterior derivative and the Lagrangian, a function of the quadratic invariant I of this tensor. It is shown that vector field (r=1) describes electromagnetic field only for D=4. In particular, for D=3 and the Lagrangean L as any function of the above-mentioned invariant, the (r=1)-field has energy-momentum tensor identical with that of a perfect fluid whose equation of state depends on the choice of L(I).

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N. V. Mitskievich. 2007-07-21. Electromagnetism and perfect fluids interplay in multidimensional spacetimes. https://doi.org/10.1142/9789812834300_0140

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