A5068354625- Black Holes and Theoretical Physics
- Noncommutative and Quantum Gravity Theories
- Neuroblastoma Research and Treatments
- Cosmology and Gravitation Theories
- Advanced Differential Geometry Research
- Relativity and Gravitational Theory
- Mathematical and Theoretical Analysis
- Numerical Methods and Algorithms
York University
2021-2025
Perimeter Institute
2025
We derive loop quantum gravity corrections to the Raychaudhuri equation in interior of a Schwarzschild black hole and near classical singularity. show that resulting effective implies defocusing geodesics due appearance repulsive terms. This prevents formation conjugate points, renders singularity theorems inapplicable, leads resolution for this spacetime.
It is widely accepted that curvature singularity resolution should be a feature of quantum gravity. We present class time-dependent asymptotically flat spherically symmetric metrics model gravitational collapse in The capture intuitions associated with the dynamics resolution, and horizon formation evaporation following matter bounce. A parameter metric speed bounce determines black hole lifetime as power its mass; this includes Hawking time ${M}^{3}$.
We derive the full spacetime metric of a generalized uncertainty-inspired quantum black hole. examine previous model interior in this approach and show that extending its to leads serious issues asymptotic region. To remedy this, we introduce an "improved scheme" mimicking similar prescription used loop gravity, where parameters are made momentum-dependent. Under scheme, rework hole extend it spacetime. find resulting is asymptotically flat associated Kretschmann scalar regular everywhere....
We show that loop quantum gravity effects leads to the finiteness of expansion and its rate change in effective regime interior Schwarzschild black hole. As a consequence singularity is resolved. find this line with previous results about curvature scalar strong singularities Kantowski-Sachs model which isometric interior.