Towards a quantum Oppenheimer-Snyder model
Tim Schmitz
Abstract
We present a consistent canonical formulation of the flat Oppenheimer-Snyder model, including the Schwarzschild exterior. The switching between comoving and stationary observers is realized by promoting the coordinate transformation between dust proper time and Schwarzschild-Killing time to a canonical one. This leads to two different forms of the Hamiltonian constraint, both (almost) deparametrizable with regard to one of these times. A preliminary quantization of these constraints reveals a consistent picture for both observers: the singularity is avoided by a bounce.
Topics & Concepts
Hamiltonian (control theory)Hamiltonian constraintCanonical quantizationCanonical transformationPhysicsSingularitySchwarzschild radiusClassical mechanicsQuantumMathematical physicsConstraint (computer-aided design)Quantization (signal processing)Transformation (genetics)Theoretical physicsQuantum mechanicsMathematicsGeometryQuantum gravityGravitationLoop quantum gravityAlgorithmChemistryMathematical optimizationBiochemistryGeneBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories