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Matter and Dark Energy in 4 Dimensions From an Empty Kaluza-Klein Spacetime | | M. H. Dehghani
; Sh. Assyyaee
; | | Date: |
6 Nov 2008 | | Abstract: | We consider the third order Lovelock equations without the cosmological
constant term of an empty $n(geq 8)$-dimensional Kaluza-Klein spacetime
$mathcal{M}^{4} imes mathcal{K}^{n-4}$, where $mathcal{K}^{n-4}$ is a
constant curvature space, and show that the emptiness of the higher-dimensional
spacetime imposes a constraint on the metric function(s). We, first consider
the effects of this constraint equation in the context of black hole physics,
and present an asymptotically (A)dS charged black hole solution in 4 dimensions
in the absence of electromagnetic field and the cosmological constant. This
4-dimensional solution has Riessner-Nordstrom-(A)dS behavior at large $r$ and
it satisfies the Kaluza-Klein idea of being empty in higher dimensions. In the
context of cosmology, we show that one may have an accelerated expanding
universe without a cosmological constant term or the concept of dark energy in
4 dimensions. These two solutions show that one may have dark energy and
matter, with non-traceless energy-momentum tensor, in 4 dimensions out of pure
curvature of the empty higher-dimensional Kaluza-Klein spacetime. | | Source: | arXiv, 0811.0877 | | Services: | Forum | Review | PDF | Favorites | |
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