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Electromagnetism and perfect fluids interplay in multidimensional spacetimes | | N.V. Mitskievich
; | | Date: |
21 Jul 2007 | | 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). | | Source: | arXiv, 0707.3190 | | Services: | Forum | Review | PDF | Favorites | |
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