https://doi.org/10.1140/epjc/s10052-014-3173-z
Regular Article - Theoretical Physics
Quintessence and effective RN de Sitter brane geometries
Department of Physics and Astrophysics, University of Delhi, New Delhi, 110 007, India
* e-mail: skkar@physics.du.ac.in
Received:
16
May
2014
Accepted:
6
November
2014
Published online:
21
November
2014
We revisit the effective space-time torsion curvature in a second order formalism, underlying the non-linear 
gauge dynamics, of a two form on a 
-brane. The formalism incorporates a significant global NS two form into the theory via its perturbative coupling to a dynamical two form. In particular we explore the non-linear gauge dynamics on a -brane in the presence of a non-trivial background metric. An effective de Sitter universe is shown to emerge on a vacuum created pair of 
-branes by a local two form at the past horizon with the Big Bang. We obtain a number of 
de Sitter quantum black holes with and without a propagating torsion. In a low energy limit the non-perturbative correction may be seen to be insignificant. The quantum black hole undergoes an expansion in the limit and identifies with the Einstein vacuum. Interestingly our analysis reveals a plausible quintessence (axion) on an anti-
-brane which may source the dark energy in a -brane universe. Arguably a brane universe moves away from its anti-brane due to the conjectured repulsive gravity underlying the quintessence. It leads to a growth in the extra fifth dimension between a brane and an anti-brane, which may provide a clue to an accelerating universe as observed in cosmology.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
