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24 January 2022
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Electromagnetism and perfect fluids interplay in multidimensional spacetimes
N.V. Mitskievich ;
Date 21 Jul 2007
AbstractWe 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).
Source arXiv, 0707.3190
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