Loop Quantum Dynamics of the Schwarzschild Interior

Abstract

We examine the Schwarzschild interior of a black hole, incorporating quantum gravitational modifications due to loop quantum gravity. We consider an improved loop quantization using techniques that have proven successful in loop quantum cosmology. The central Schwarzschild singularity is resolved and the implications for the fate of an in-falling test particle in the interior region is discussed. The singularity is replaced by a Nariai type Universe. We discuss the resulting conformal diagram, providing a clear geometrical interpretation of the quantum effects.

Update to match version accepted for publication in PRD

References in corpus (4)

• Loop quantum cosmology of k=1 FRW models
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Loop quantization of spherically symmetric midi-superspaces
• The behavior of non-linear anisotropies in bouncing Bianchi I models of loop quantum cosmology

Cited by in corpus (9)

• Black holes in loop quantum gravity: the complete space-time
• Is loop quantization in cosmology unique?
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
• Stability of the Schwarzschild Interior in Loop Quantum Gravity
• Fermions in Loop Quantum Cosmology and the Role of Parity
• Perfect fluid spheres with cosmological constant
• Quantum Space-times: Beyond the Continuum of Minkowski and Einstein