Singular manifolds, topology change and the dynamics of compactification
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 fin...
| Main Authors: | , |
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| Format: | Article |
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Springer
2007
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| Online Access: | https://eprints.nottingham.ac.uk/42122/ |
| _version_ | 1848796424368553984 |
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| author | Butcher, Neil A. Saffin, Paul M. |
| author_facet | Butcher, Neil A. Saffin, Paul M. |
| author_sort | Butcher, Neil A. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:47:46Z |
| format | Article |
| id | nottingham-42122 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:46Z |
| publishDate | 2007 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-421222020-05-04T16:27:08Z https://eprints.nottingham.ac.uk/42122/ Singular manifolds, topology change and the dynamics of compactification Butcher, Neil A. Saffin, Paul M. 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. Springer 2007-11-20 Article PeerReviewed Butcher, Neil A. and Saffin, Paul M. (2007) Singular manifolds, topology change and the dynamics of compactification. Journal of High Energy Physics, 2007 (11). 062. ISSN 1029-8479 http://iopscience.iop.org/article/10.1088/1126-6708/2007/11/062/meta doi:10.1088/1126-6708/2007/11/062 doi:10.1088/1126-6708/2007/11/062 |
| spellingShingle | Butcher, Neil A. Saffin, Paul M. Singular manifolds, topology change and the dynamics of compactification |
| title | Singular manifolds, topology change and the dynamics of compactification |
| title_full | Singular manifolds, topology change and the dynamics of compactification |
| title_fullStr | Singular manifolds, topology change and the dynamics of compactification |
| title_full_unstemmed | Singular manifolds, topology change and the dynamics of compactification |
| title_short | Singular manifolds, topology change and the dynamics of compactification |
| title_sort | singular manifolds, topology change and the dynamics of compactification |
| url | https://eprints.nottingham.ac.uk/42122/ https://eprints.nottingham.ac.uk/42122/ https://eprints.nottingham.ac.uk/42122/ |