Singular manifolds, topology change and the dynamics of compactification

Butcher, Neil A.; Saffin, Paul M.

Abstract

We investigate the dynamics of the geometric transitions associated to compactified spacetimes. By including the dynamics of gravity we are able to follow the evolution of collapsing cycles as they attempt to undergo a topology changing transition. Rather than achieving this singular geometry we find that one of two scenarios occur, depending on the initial conditions. Either a horizon forms, shielding a curvature singularity, or the cycle re-expands after an initial contraction phase. For the case where a horizon forms we identify the final state with a known analytic black-hole solution. We also show use our results to demonstate a novel compactification mechanism, owing to the asymptotic structure of this black-hole solution.

Citation

Butcher, N. A., & Saffin, P. M. (2007). Singular manifolds, topology change and the dynamics of compactification. Journal of High Energy Physics, 2007(11), https://doi.org/10.1088/1126-6708/2007/11/062

• Journal Article Type: Article
• Acceptance Date: Nov 16, 2007
• Publication Date: Nov 20, 2007
• Deposit Date: Apr 21, 2017
• Publicly Available Date: Apr 21, 2017
• Journal: Journal of High Energy Physics
• Electronic ISSN: 1029-8479
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2007
• Issue: 11
• DOI: https://doi.org/10.1088/1126-6708/2007/11/062
• Public URL: https://nottingham-repository.worktribe.com/output/704390
• Publisher URL: http://iopscience.iop.org/article/10.1088/1126-6708/2007/11/062/meta
• Contract Date: Apr 21, 2017