Mathematics – Logic
Scientific paper
May 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrvd..57.6544c&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 57, Issue 10, 15 May 1998, pp.6544-6546
Mathematics
Logic
1
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.
Beesham Aroon
Bhui B.
Chatterjee Saikat
Ghosh Tanwi
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