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Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture

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Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture. / Ashtekar, Abhay; Henderson, Adam; Sloan, David.
In: Classical and Quantum Gravity, Vol. 26, No. 5, 052001, 11.02.2009.

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

Harvard

Ashtekar, A, Henderson, A & Sloan, D 2009, 'Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture', Classical and Quantum Gravity, vol. 26, no. 5, 052001. https://doi.org/10.1088/0264-9381/26/5/052001

APA

Ashtekar, A., Henderson, A., & Sloan, D. (2009). Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture. Classical and Quantum Gravity, 26(5), Article 052001. https://doi.org/10.1088/0264-9381/26/5/052001

Vancouver

Ashtekar A, Henderson A, Sloan D. Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture. Classical and Quantum Gravity. 2009 Feb 11;26(5):052001. doi: 10.1088/0264-9381/26/5/052001

Author

Ashtekar, Abhay ; Henderson, Adam ; Sloan, David. / Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture. In: Classical and Quantum Gravity. 2009 ; Vol. 26, No. 5.

Bibtex

@article{bad947ba99ca446c9dfcd1d2cef32662,
title = "Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture",
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.",
author = "Abhay Ashtekar and Adam Henderson and David Sloan",
year = "2009",
month = feb,
day = "11",
doi = "10.1088/0264-9381/26/5/052001",
language = "English",
volume = "26",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing",
number = "5",

}

RIS

TY - JOUR

T1 - Hamiltonian general relativity and the Belinskii–Khalatnikov–Lifshitz conjecture

AU - Ashtekar, Abhay

AU - Henderson, Adam

AU - Sloan, David

PY - 2009/2/11

Y1 - 2009/2/11

N2 - 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.

AB - 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.

U2 - 10.1088/0264-9381/26/5/052001

DO - 10.1088/0264-9381/26/5/052001

M3 - Journal article

VL - 26

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 5

M1 - 052001

ER -