Research Repository

See what's under the surface

Singular manifolds, topology change and the dynamics of compactification

Butcher, Neil A.; Saffin, Paul M.

Authors

Neil A. Butcher

Paul M. Saffin

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.

Journal Article Type Article
Publication Date Nov 20, 2007
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 2007
Issue 11
Institution Citation Butcher, N. A., & Saffin, P. M. (2007). Singular manifolds, topology change and the dynamics of compactification. Journal of High Energy Physics, 2007(11), doi:10.1088/1126-6708/2007/11/062
DOI https://doi.org/10.1088/1126-6708/2007/11/062
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

Files

0709.2430.pdf (258 Kb)
PDF

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




Downloadable Citations