Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture

Ashtekar, Abhay and Henderson, Adam and Sloan, David (2009) Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture. Classical and Quantum Gravity, 26 (5). ISSN 0264-9381

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Abstract

The Belinkskii, Khalatnikov and Lifshitz conjecture says that as one approaches spacelike singularities in general relativity, 'time derivatives dominate over spatial derivatives' so that the dynamics at any spatial point is well captured by an ordinary differential equation. By now considerable evidence has accumulated in favor of these ideas. Starting with a Hamiltonian framework, we provide a formulation of this conjecture in terms of variables that are tailored to non-perturbative quantization. Our formulation serves as a first step in the analysis of the fate of generic spacelike singularities in loop quantum gravity.

Item Type: Journal Article
Journal or Publication Title: Classical and Quantum Gravity
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3101
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 131146
Deposited By: ep_importer_pure
Deposited On: 11 Feb 2019 09:45
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 11:49
URI: https://eprints.lancs.ac.uk/id/eprint/131146

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