Inhomogeneous cosmological models in D=6, N=2 Kaluza-Klein supergravity

Mathematics – Logic

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We obtain a cosmological solution in an R1×R3×S2 spacetime for an inhomogeneous distribution of matter obeying an equation of state, p=-ρ≠p1, where p and p1 are the isotropic pressures in the 3-space and extra space, respectively. Our model admits exponential expansion of the three-dimensional (3D) space, while the extra space is amenable to dimensional reduction. Interestingly, aside from the well known singularity at the big bang our inhomogeneous solutions are spatially regular everywhere, including the center of symmetry r=0. Moreover, our model seems to suggest an alternative mechanism pointing to a smooth transition from a primorial multidimensional, inhomogeneous phase to a 4D homogeneous one.

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