Geodesic completeness and the lack of strong singularities in effective loop quantum Kantowski–Sachs spacetime

DOI10.1088/0264-9381/33/24/245019zbMath1354.83015arXiv1606.04932OpenAlexW2432780829WikidataQ62273545 ScholiaQ62273545MaRDI QIDQ2957158

Parampreet Singh, Sahil Saini

Publication date: 25 January 2017

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

Full work available at URL: https://arxiv.org/abs/1606.04932

zbMATH Keywords

loop quantum cosmologyKantowski-Sachs spacetimesingularity resolutionstrength of singularities

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Space-time singularities, cosmic censorship, etc. (83C75) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (8)

Quantum space and quantum completeness ⋮ A diffeomorphism invariant family of metric-affine actions for loop cosmologies ⋮ From black holes to white holes: a quantum gravitational, symmetric bounce ⋮ Properties of a recent quantum extension of the Kruskal geometry ⋮ Generic absence of strong singularities in loop quantum Bianchi-IX spacetimes ⋮ von-Neumann stability and singularity resolution in loop quantized Schwarzschild black hole ⋮ Noncommutativity and the weak cosmic censorship ⋮ On black hole thermodynamics, singularity, and gravitational entropy

Cites Work

• Numerical techniques in loop quantum cosmology
• The Kantowski-Sachs space-time in loop quantum gravity
• Conditions for the occurrence of strong curvature singularities
• Singular space-times
• Consistent histories in quantum cosmology
• Loop quantum cosmology of Bianchi IX: Inclusion of inverse triad corrections
• Is classical flat Kasner spacetime flat in quantum gravity?
• Loop Quantum Cosmology: Anisotropy and Singularity Resolution
• Loop quantum cosmology and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:math>Robertson-Walker model
• Quantum nature of the big bang: Improved dynamics
• Thermal fluctuations in loop cosmology
• Emergence of the product of constant curvature spaces in loop quantum cosmology
• Quantum Nature of the Big Bang
• Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics
• Chimera: a hybrid approach to numerical loop quantum cosmology

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