Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
Keagan Blanchette, Saurya Das, Samantha Hergott, Saeed Rastgoo
Abstract
We derive loop quantum gravity corrections to the Raychaudhuri equation in the interior of a Schwarzschild black hole and near the classical singularity. We show that the resulting effective equation implies defocusing of geodesics due to the appearance of repulsive terms. This prevents the formation of conjugate points, renders the singularity theorems inapplicable, and leads to the resolution of the singularity for this spacetime.
Topics & Concepts
SingularityPhysicsConjugate pointsInitial singularityRing singularitySchwarzschild radiusGeodesicNaked singularityBlack hole (networking)SpacetimeQuantum gravityMathematical physicsSchwarzschild metricQuantumClassical mechanicsQuantum mechanicsGeneral relativityMathematicsCharged black holeGeometryUniverseRouting protocolRouting (electronic design automation)De Sitter universeComputer scienceLink-state routing protocolComputer networkNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsNeuroblastoma Research and Treatments