Basis function method for numerical loop quantum cosmology: the Schwarzschild black hole interior

DOI10.1088/1361-6382/ab514czbMath1478.83185arXiv1907.08249OpenAlexW2963006444MaRDI QIDQ5160093

Gaurav Khanna, Alec Yonika

Publication date: 28 October 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08249

zbMATH Keywords

stabilitynumerical methodssingularitySchwarzschildloop quantum cosmology

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Black holes (83C57) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Space-time singularities, cosmic censorship, etc. (83C75) Constrained dynamics, Dirac's theory of constraints (70H45) Stability theory for difference equations (39A30)

Uses Software

• rompy

Cites Work

• Numerical techniques in loop quantum cosmology
• Two-step greedy algorithm for reduced order quadratures
• A general multipurpose interpolation procedure: The magic points
• Loop quantization of the Schwarzschild interior revisited
• Loop Quantum Gravity
• Nonlinear Model Reduction via Discrete Empirical Interpolation
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• Quantum nature of the big bang: Improved dynamics
• Loop quantum cosmology: a status report
• Numerical evolution of squeezed and non-Gaussian states in loop quantum cosmology
• von Neumann stability of modified loop quantum cosmologies
• Closed Friedmann–Robertson–Walker model in loop quantum cosmology
• Quantum Nature of the Big Bang
• From black holes to white holes: a quantum gravitational, symmetric bounce
• von-Neumann stability and singularity resolution in loop quantized Schwarzschild black hole
• Numerical loop quantum cosmology: an overview
• Numerical solutions to lattice-refined models in loop quantum cosmology
• Quantum Gravity
• Approximate pre-classical solutions to models of loop quantum gravity
• On the Partial Difference Equations of Mathematical Physics
• Loop quantum cosmology

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