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

DOI10.4310/ATMP.2006.V10.N3.A1zbMATH Open1131.83018arXivhep-th/0409123OpenAlexW2066510464MaRDI QIDQ2457739

Claus Gerhardt

Publication date: 23 October 2007

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

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 $f:NamcS$ with potential $V$, where $mcS$ 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 $hatN$ which together form a smooth hypersurface. Thus a smooth transition from big crunch to big bang is possible both geometrically as well as physically.

Full work available at URL: https://arxiv.org/abs/hep-th/0409123

zbMATH Keywords

moduli spacebranesmooth transition

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Applications of global differential geometry to the sciences (53C80) Space-time singularities, cosmic censorship, etc. (83C75)

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