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Singular manifolds, topology change and the dynamics of compactification

Butcher, Neil A.; Saffin, Paul M.

Authors

Neil A. Butcher



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 http://eprints.nottingham.ac.uk/id/eprint/42122
Publisher URL http://iopscience.iop.org/article/10.1088/1126-6708/2007/11/062/meta
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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