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- Title
Existence of deformations and dimensional reduction in wormholes and black holes.
- Authors
Ahmed, Nasr; Rafat, H.
- 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.
- Subjects
WORMHOLES (Physics); QUANTUM gravity; GRAVITATION; QUANTUM theory; ASTROPHYSICS; HOMOTOPY theory; DEFORMATIONS (Mechanics)
- Publication
International Journal of Geometric Methods in Modern Physics, 2018, Vol 15, Issue 11, pN.PAG
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887818501979