Spacetimes, electromagnetism and fluids: a revision el traditional concepts

• Autores: Nikolai V. Mitskievich
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 49, Nº. Extra 2 (Supl.), 2003 (Ejemplar dedicado a: Fourth Workshop on Gravitational and Mathematical Physics), págs. 39-51
• Idioma: inglés
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• Resumen
  • español

    En este artículo se consideran r-formas en espacio-tiempo de dimensión D(r

  • English

    In this paper r-form fields in spacetimes of any dimensions D are consideres (r < D). The weak-field Newtonian-type limit of Einstein's equations, in general, with relativistic sources is studied in the static case yielding a revision of the equivalence principle (intrinsically relativistic sources generate twice stronger gravitational fields and hyperrelativistic sources -e.g., the stiff matter-generate four times stronger gravitational fields than non-relativistic sources). It is shown that analogues of electromagnetic field, strictly speaking, exist only in even-dimensional spacetimes. In (2+1)-dimensional spacetime, the field traditionally interpreted as "magnetic" turns out to be in fact a perfect fluid, and "electric", a tecthonic fluid (this latter concept araises inevitably in the r-form description of fluids for any D). It is shown that in 2+1 there exists a vasta family of static solutions for non-coherence dust, in a sharp contrast to the (3+1)-dimensional case. Several new null fluid solutions (including rotating ones) are found in 2+1 as well. New general interpretation of the cosmological term in D-dimensional Einstein's equations is given via the (D-1)-form field, and it is shown that this field is as well responsible (as this is the case in 3+1 dimensions) for rotation to perfect fluids [(D-2)-form fields], thus the "source" term in the corresponding field equations has to be interpreted as the rotation term only.