Comparison of spacetime defects which are homeomorphic but not diffeomorphic
arXiv:1404.2901 · doi:10.1063/1.4900883
Abstract
Certain remnants of a quantum spacetime foam can be modeled by a distribution of defects embedded in a flat classical spacetime. The presence of such spacetime defects affects the propagation of elementary particles. In this article, we show explicitly that both topology and differential structure of the defects are important for the particle motion. Specifically, we consider three types of spacetime defects which are described by the same topological manifold but which are not diffeomorphic to each other. We investigate the propagation of a massless scalar field over the three different manifolds and find different solutions of the \mbox{Klein--Gordon} equation.
arXiv comment24 pages; v5: published version
References in corpus (11)
- Quantum Spacetime Phenomenology
- Topological Censorship
- Bounds on length scales of classical spacetime foam models
- A new type of nonsingular black-hole solution in general relativity
- Phenomenology of Space-time Imperfection II: Local Defects
- Skyrmion spacetime defect
- Discreteness and the transmission of light from distant sources
- Phenomenology of Space-time Imperfection I: Nonlocal Defects
- Black-hole solution without curvature singularity
- A nonsingular spacetime defect
- Geon black holes and quantum field theory
Cited by in corpus (12)
- Regularized big bang singularity
- Nonsingular bouncing cosmology from general relativity
- More on the regularized big bang singularity
- Nonsingular bouncing cosmology from general relativity: Scalar metric perturbations
- Defect wormhole: A traversable wormhole without exotic matter
- M-theory and the birth of the Universe
- Vacuum-defect wormholes and a mirror world
- On a soliton-type spacetime defect
- Antigravity from a spacetime defect
- IIB matrix model and regularized big bang
- Lensing and imaging by a stealth defect of spacetime
- Particle propagation on spacetime manifolds with static defects