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Branes, moduli spaces and smooth transition from big crunch to big bang | Claus Gerhardt
; | Date: |
13 Sep 2004 | Subject: | High Energy Physics - Theory; Differential Geometry | hep-th gr-qc math.DG | Abstract: | We consider branes $N$ in a Schwarzschild-$ ext{AdS}_{(n+2)}$ bulk, where the stress energy tensor is dominated by the energy density of a scalar fields map $f:N
a mc S$ 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 $(-e,0)$
esp $(0,e)$, and assuming $n$ odd, we obtain branes $N$
esp $hat N$ which together form a smooth hypersurface. Thus a smooth transition from big crunch to big bang is possible both geometrically as well as physically. | Source: | arXiv, hep-th/0409123 | Services: | Forum | Review | PDF | Favorites |
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