Existence of deformations and dimensional reduction in wormholes and black holes

2018/06/30 by Nasr Ahmed, H. Rafat
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Deformation (meteorology) #Deformation theory #Geodesic #Homotopy #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Point (geometry) #Reduction (mathematics) #Retract #Topology (electrical circuits) #Wormhole #physics.gen-ph

paper · pdf · doi:10.1142/s0219887818501979

13 pages

openalex created_date 2018/06/13 · arxiv created 2018/08/28 · openalex publication_date 2018/09/06 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05

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.

Citations

• Geometry and field theory in multi-fractional spacetime
• Quantum field theory and the Jones polynomial
• Topological quantum field theory
• General relativity in two- and three-dimensional space–times
• Ricci-flat and charged wormholes in five dimensions
• Liouville black holes
• Problems of Gravitational Stability in the Presence of a Magnetic Field.
• Off-diagonal deformations of kerr black holes in Einstein and modified massive gravity and higher dimensions
• Gravitational waves from neutron stars with large toroidalBfields
• String theory and black holes