Singular manifolds, topology change and the dynamics of compactification
arXiv:0709.2430 · doi:10.1088/1126-6708/2007/11/062
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.
18 pages 6 figures
References in corpus (26)
- The Dynamics of General Relativity
- Massless Black Holes and Conifolds in String Theory
- An M-theory Flop as a Large N Duality
- String Theory on Calabi-Yau Manifolds
- An Early Proposal of "Brane World"
- Chiral Fermions from Manifolds of Holonomy
- Finding Apparent Horizons in Numerical Relativity
- Cohomogeneity One Manifolds of Spin(7) and G(2) Holonomy
- On Realising N=1 Super Yang-Mills in M theory
- Kaluza-Klein Black Holes with Squashed Horizons
- Critical behavior in vacuum gravitational collapse in 4+1 dimensions
- A Geometric Realization of Confinement
- M-theory cosmologies from singular Calabi-Yau compactifications
- M-Theory Dynamics On A Manifold Of G_2 Holonomy
- Regularization of spherically symmetric evolution codes in numerical relativity
- Effective Supergravity Actions for Flop Transitions
- Conifolds and Geometric Transitions
- Flop Transitions in M-theory Cosmology
- A cure for unstable numerical evolutions of single black holes: adjusting the standard ADM equations
- Kahler Potential for M-theory on a G_2 Manifold
- Regularization of spherical and axisymmetric evolution codes in numerical relativity
- Type IIB Conifold Transitions in Cosmology
- Dynamical Conifold Transitions and Moduli Trapping in M-Theory Cosmology
- Effective Supergravity Actions for Conifold Transitions
- Conifold Cosmologies in IIA String Theory
- The effects of inhomogeneities on the cosmology of type IIB conifold transitions