Bouncing compact objects. II. Effective theory of a pulsating Planck star
Résumé
This article presents an effective quantum extension of the seminal Oppenheimer-Snyder (OS) collapse in which the singularity resolution is modeled using the effective dynamics of the spatially closed loop quantum cosmology. Imposing the minimal junction conditions, namely the Israel-Darmois conditions, we glue this bouncing Loop Quantum Cosmology (LQC) geometry to the classical vacuum exterior Schwarzschild geometry across a timelike thin shell. Consistency of the construction leads to several major deviations from the classical OS collapse model. Firstly, no trapped region can form, and the bounce occurs always above or at most, at the Schwarzschild radius. Secondly, the bouncing star discussed here admits an IR cutoff, in addition to the UV cutof,f and therefore corresponds to a pulsating compact object. Thirdly, the scale at which quantum gravity effects become non-negligible is encoded in the ratio between the UV cutoff of the quantum theory and the IR cutoff, which in turn encodes the minimal energy density
Mots clés
General relativity
alternative theories of gravity
quantum cosmology: loop space
energy: density
star: model
model: collapse
quantum gravity: effect
space-time: geometry
geometry
Schwarzschild
bounce
star
Planck
singularity
resolution
pressure: surface
star: compact
cosmological model
Friedman model
Origine | Fichiers éditeurs autorisés sur une archive ouverte |
---|