https://doi.org/10.1140/epjc/s10052-017-5033-0
Regular Article - Theoretical Physics
Anisotropic SD2 brane: accelerating cosmology and Kasner-like space-time from compactification
1
Saha Institute of Nuclear Physics, 1/AF, Bidhannagar, Calcutta, 700064, India
2
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400085, India
* e-mail: shibaji.roy@saha.ac.in
Received:
5
May
2017
Accepted:
27
June
2017
Published online:
12
July
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
) of a time-dependent volume of this SD2 brane solution leads to accelerating cosmologies (for some time 
, with 
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 (
) 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. Unlike in the standard four-dimensional Kasner cosmology here all three Kasner exponents could be positive definite, leading to expansions in all three directions.
© The Author(s), 2017
