5 research outputs found
Dark Energy and Matter in 4 Dimensions From an Empty Kaluza-Klein Spacetime
We consider the third order Lovelock equations without the cosmological
constant term in an empty -dimensional Kaluza-Klein spacetime
, where is a
constant curvature space. We show that the emptiness of the higher-dimensional
spacetime imposes a constraint on the metric function(s) of 4-dimensional
spacetime . We consider the effects of this constraint
equation in the context of black hole physics, and find a black hole solution
in 4 dimensions in the absence of matter field and the cosmological constant
(dark energy). This solution has the same form as the 4-dimensional solution
introduced in [H. Maeda and N. Dadhich, Phys. Rev. D 74 (2006) 021501(R)] for
Gauss-Bonnet gravity in the presence of cosmological constant, and therefore
the metric of which satisfies the vacuum Lovelock equations
in higher-dimensional Kaluza-Klein spacetime is unique. This black hole
solution shows that the curvature of an empty higher-dimensional Kaluza-Klein
spacetime creates dark energy and matter with non-traceless energy-momentum
tensor in 4 dimensions.Comment: 11 pages, two figure