Singular manifolds, topology change and the dynamics of compactification - High Energy Physics - TheoryReport as inadecuate




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Abstract: We investigate the dynamics of the geometric transitions associated tocompactified spacetimes. By including the dynamics of gravity we are able tofollow the evolution of collapsing cycles as they attempt to undergo a topologychanging transition. Rather than achieving this singular geometry we find thatone of two scenarios occur, depending on the initial conditions. Either ahorizon forms, shielding a curvature singularity, or the cycle re-expands afteran initial contraction phase. For the case where a horizon forms we identifythe final state with a known analytic black-hole solution. We also show use ourresults to demonstate a novel compactification mechanism, owing to theasymptotic structure of this black-hole solution.



Author: Neil A. Butcher, Paul M. Saffin

Source: https://arxiv.org/







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