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Hamiltonian formulation of the Belinskii-Khalatnikov-Lifshitz conjecture

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Hamiltonian formulation of the Belinskii-Khalatnikov-Lifshitz conjecture. / Ashtekar, Abhay; Henderson, Adam; Sloan, David.
In: Physical Review D, Vol. 83, No. 8, 084024, 15.04.2011.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Ashtekar, A, Henderson, A & Sloan, D 2011, 'Hamiltonian formulation of the Belinskii-Khalatnikov-Lifshitz conjecture', Physical Review D, vol. 83, no. 8, 084024. https://doi.org/10.1103/PhysRevD.83.084024

APA

Ashtekar, A., Henderson, A., & Sloan, D. (2011). Hamiltonian formulation of the Belinskii-Khalatnikov-Lifshitz conjecture. Physical Review D, 83(8), Article 084024. https://doi.org/10.1103/PhysRevD.83.084024

Vancouver

Ashtekar A, Henderson A, Sloan D. Hamiltonian formulation of the Belinskii-Khalatnikov-Lifshitz conjecture. Physical Review D. 2011 Apr 15;83(8):084024. doi: 10.1103/PhysRevD.83.084024

Author

Ashtekar, Abhay ; Henderson, Adam ; Sloan, David. / Hamiltonian formulation of the Belinskii-Khalatnikov-Lifshitz conjecture. In: Physical Review D. 2011 ; Vol. 83, No. 8.

Bibtex

@article{63f704421cd14ceda00812ea4c6eb3cf,
title = "Hamiltonian formulation of the Belinskii-Khalatnikov-Lifshitz conjecture",
abstract = "The Belinskii, Khalatnikov, and Lifshitz conjecture [V. A. Belinskii, I. M. Khalatnikov, and E. M. Lifshitz, Adv. Phys. 19, 525 (1970)] posits that on approach to a spacelike singularity in general relativity the dynamics are well approximated by “ignoring spatial derivatives in favor of time derivatives.” In A. Ashtekar, A. Henderson, and D. Sloan, Classical Quantum Gravity 26, 052 001 (2009), we examined this idea from within a Hamiltonian framework and provided a new formulation of the conjecture in terms of variables well suited to loop quantum gravity. We now present the details of the analytical part of that investigation. While our motivation came from quantum considerations, thanks to some of its new features, our formulation should be useful also for future analytical and numerical investigations within general relativity.",
author = "Abhay Ashtekar and Adam Henderson and David Sloan",
year = "2011",
month = apr,
day = "15",
doi = "10.1103/PhysRevD.83.084024",
language = "English",
volume = "83",
journal = "Physical Review D",
issn = "1550-7998",
publisher = "American Physical Society",
number = "8",

}

RIS

TY - JOUR

T1 - Hamiltonian formulation of the Belinskii-Khalatnikov-Lifshitz conjecture

AU - Ashtekar, Abhay

AU - Henderson, Adam

AU - Sloan, David

PY - 2011/4/15

Y1 - 2011/4/15

N2 - The Belinskii, Khalatnikov, and Lifshitz conjecture [V. A. Belinskii, I. M. Khalatnikov, and E. M. Lifshitz, Adv. Phys. 19, 525 (1970)] posits that on approach to a spacelike singularity in general relativity the dynamics are well approximated by “ignoring spatial derivatives in favor of time derivatives.” In A. Ashtekar, A. Henderson, and D. Sloan, Classical Quantum Gravity 26, 052 001 (2009), we examined this idea from within a Hamiltonian framework and provided a new formulation of the conjecture in terms of variables well suited to loop quantum gravity. We now present the details of the analytical part of that investigation. While our motivation came from quantum considerations, thanks to some of its new features, our formulation should be useful also for future analytical and numerical investigations within general relativity.

AB - The Belinskii, Khalatnikov, and Lifshitz conjecture [V. A. Belinskii, I. M. Khalatnikov, and E. M. Lifshitz, Adv. Phys. 19, 525 (1970)] posits that on approach to a spacelike singularity in general relativity the dynamics are well approximated by “ignoring spatial derivatives in favor of time derivatives.” In A. Ashtekar, A. Henderson, and D. Sloan, Classical Quantum Gravity 26, 052 001 (2009), we examined this idea from within a Hamiltonian framework and provided a new formulation of the conjecture in terms of variables well suited to loop quantum gravity. We now present the details of the analytical part of that investigation. While our motivation came from quantum considerations, thanks to some of its new features, our formulation should be useful also for future analytical and numerical investigations within general relativity.

U2 - 10.1103/PhysRevD.83.084024

DO - 10.1103/PhysRevD.83.084024

M3 - Journal article

VL - 83

JO - Physical Review D

JF - Physical Review D

SN - 1550-7998

IS - 8

M1 - 084024

ER -