Axial perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology

Abstract

Recently, there has been a growing interest in investigating homogeneous but anisotropic spacetimes owing to their relation with nonrotating, uncharged black hole interiors. We present a description of axial perturbations for a massless scalar field minimally coupled to this geometry. We truncate the action at the quadratic perturbative order and tailor our analysis to compact spatial sections. Perturbations are described in terms of perturbative gauge invariants, linear perturbative constraints, and their canonically conjugate variables. The entire set, encompassing perturbations and homogeneous degrees of freedom, is consolidated into a canonical one. We employ a hybrid approach to quantize this system, integrating a quantum representation of the homogeneous sector using Loop Quantum Cosmology techniques with a conventional field quantization of the perturbations.

18 pages

References in corpus (17)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Loop Quantum Dynamics of the Schwarzschild Interior
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Hybrid quantization of an inflationary universe
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Second and higher-order perturbations of a spherical spacetime
• A Brief Introduction to Loop Quantum Cosmology
• High-order gauge-invariant perturbations of a spherical spacetime
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Wave functions for the Schwarschild black hole interior
• Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
• Hamiltonian theory for the axial perturbations of a dynamical spherical background
• Black Hole Greybody Factors from Korteweg-de Vries Integrals: Theory
• Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
• Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology

Cited by in corpus (6)

• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• Higher-dimensional quantum Oppenheimer-Snyder model
• Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• Master variables and Darboux symmetry for axial perturbations of the exterior and interior of black hole spacetimes
• Hamiltonian formalism, master functions and Darboux transformations for perturbed (interiors and exteriors of) nonrotating black holes
• Effective Regge-Wheeler equations of a hybrid loop quantum black hole