Branes, moduli spaces and smooth transition from big crunch to big bang

Details Branes, moduli spaces and smooth transition from big crunch to big bang Branes, moduli spaces and smooth transition from big crunch to big bang

2004-09-13

arxiv.org/abs/hep-th/0409123v3

Adv.Theor.Math.Phys. 10 (2006) 283-315

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 4 figures, a pdf version can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/brane2.pdf a

Scientific paper

We consider branes $N$ in a Schwarzschild-$\text{AdS}_{(n+2)}$ bulk, where the stress energy tensor is dominated by the energy density of a scalar fields map $\f:N\ra \mc S$ with potential $V$, where $\mc S$ is a semi-Riemannian moduli space. By transforming the field equation appropriately, we get an equivalent field equation that is smooth across the singularity $r=0$, and which has smooth and uniquely determined solutions which exist across the singularity in an interval $(-\e,\e)$. Restricting a solution to $(-\e,0)$ \resp $(0,\e)$, and assuming $n$ odd, we obtain branes $N$ \resp $\hat N$ which together form a smooth hypersurface. Thus a smooth transition from big crunch to big bang is possible both geometrically as well as physically.

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