On the existence of deformations and dimensional reduction in wormholes and black holes
arXiv:1806.01125 · doi:10.1142/S0219887818501979
Abstract
The deformation retract is, by definition, a homotopy between a retraction and the identity map. We show that applying this topological concept to Ricci-flat wormholes/black holes implies that such objects can get deformed and reduced to lower dimensions. The homotopy theory can provide a rigorous proof to the existence of black holes/wormholes deformations and explain the topological origin. The current work discusses such possible deformations and dimensional reductions from a global topological point of view, it also represents a new application of the homotopy theory and deformation retract in astrophysics and quantum gravity.
13 pages
References in corpus (11)
- Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
- Modelling magnetically deformed neutron stars
- Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy
- Searching for the Layered Structure of Space at the LHC
- Primordial Black Hole Evaporation and Spontaneous Dimensional Reduction
- Deformation of extremal black holes from stringy interactions
- Ricci-Flat and Charged Wormholes in Five Dimensions
- Exact Solutions in Modified Massive Gravity and Off-Diagonal Wormhole Deformations
- Topological Origin of Holographic Principle: Application to wormholes
- Homotopy approach to quantum gravity
- Quantum collapse of dust shells in 2+1 gravity