# Anisotropic SD2 brane: accelerating cosmology and Kasner-like space-time from compactification

The European Physical Journal C, Jul 2017

Starting from an anisotropic (in all directions including the time direction of the brane) non-SUSY D2 brane solution of type IIA string theory we construct an anisotropic space-like D2 brane (or SD2 brane, for short) solution by the standard trick of a double Wick rotation. This solution is characterized by five independent parameters. We show that compactification on six-dimensional hyperbolic space (H$_6$) of a time-dependent volume of this SD2 brane solution leads to accelerating cosmologies (for some time $t\sim \,t_0$, with $t_0$ some characteristic time) where both the expansions and the accelerations are different in three spatial directions of the resultant four-dimensional universe. On the other hand at early times ($t \ll t_0$) this four-dimensional space, in certain situations, leads to four-dimensional Kasner-like cosmology, with two additional scalars, namely, the dilaton and a volume scalar of H$_6$. Unlike in the standard four-dimensional Kasner cosmology here all three Kasner exponents could be positive definite, leading to expansions in all three directions.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-017-5033-0.pdf

Kuntal Nayek, Shibaji Roy. Anisotropic SD2 brane: accelerating cosmology and Kasner-like space-time from compactification, The European Physical Journal C, 2017, 1-7, DOI: 10.1140/epjc/s10052-017-5033-0