Abstract
We consider the space-like Dp brane solutions of type II string theories having isometries ISO(p + 1) × SO(8 − p, 1). These are asymptotically flat solutions or in other words, the metrics become flat at the time scale τ ≫ τ 0. On the other hand, when τ ∼ τ 0, we get (p + 1) + 1 dimensional flat FLRW metrics upon compactification on a (8 − p) dimensional hyperbolic space with time dependent radii. We show that the resultant (p + 1) + 1 dimensional metrics describe transient accelerating cosmologies for all p from 1 to 6, i.e., from (2+1) to (7+1) space-time dimensions. We show how the accelerating phase changes with the interplay of the various parameters characterizing the solutions in (3 + 1) dimensions. Finally, for τ ≪ τ 0, after compactification on (8 − p) dimensional hyperbolic space, the resultant metrics are shown to take the form of (p + 1) + 1 dimensional de Sitter spaces upto a conformal transformation. Cosmologies here are decelerating, but, only in a particular conformal frame we get eternal acceleration.
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Nayek, K., Roy, S. Space-like Dp branes: accelerating cosmologies versus conformally de Sitter space-time. J. High Energ. Phys. 2015, 21 (2015). https://doi.org/10.1007/JHEP02(2015)021
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DOI: https://doi.org/10.1007/JHEP02(2015)021