Inhomogeneous cosmological models in D = 6 , N = 2 Kaluza-Klein supergravity
1998; American Physical Society; Volume: 57; Issue: 10 Linguagem: Inglês
10.1103/physrevd.57.6544
ISSN1538-4500
AutoresS. Chatterjee, Aroonkumar Beesham, B. Bhui, Tanwi Ghosh,
Tópico(s)Cosmology and Gravitation Theories
ResumoWe obtain a cosmological solution in an ${R}^{1}\ifmmode\times\else\texttimes\fi{}{R}^{3}\ifmmode\times\else\texttimes\fi{}{S}^{2}$ spacetime for an inhomogeneous distribution of matter obeying an equation of state, $p=\ensuremath{-}\ensuremath{\rho}\ensuremath{\ne}{p}_{1},$ where $p$ and ${p}_{1}$ 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.
Referência(s)