Soft singularity and the fundamental length
arXiv:gr-qc/0508006 · doi:10.1007/s10702-006-0374-1
Abstract
It is shown that some regular solutions in 5D Kaluza-Klein gravity may have interesting properties if one from the parameters is in the Planck region. In this case the Kretschman metric invariant runs up to a maximal reachable value in nature, i.e. practically the metric becomes singular. This observation allows us to suppose that in this situation the problems with such soft singularity will be much easier resolved in the future quantum gravity then by the situation with the ordinary hard singularity (Reissner-Nordström singularity, for example). It is supposed that the analogous consideration can be applied for the avoiding the hard singularities connected with the gauge charges.
5 pages
References in corpus (4)
- Generalized Quantum Relativistic Kinematics: a Stability Point of View
- Classical model of elementary particle with Bertotti-Robinson core and extremal black holes
- A freely falling frame at the interface of gravitational and quantum realms
- Minimal spatio-temporal extent of events, neutrinos, and the cosmological constant problem