Timelike singularities and Hamiltonian cosmological billiards

Paul Klinger

doi:10.1088/0264-9381/33/11/117002

Timelike singularities and Hamiltonian cosmological billiards

Paul Klinger

Gravitational Physics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We construct a large class of vacuum solutions of the Einstein equations without any symmetries and with controlled asymptotics near a timelike singularity. The solutions are obtained by a Fuchs analysis of the equations which evolve the metric in a spacelike direction.
We further observe that the changes of signs of some of the terms (walls) in the associated Hamiltonian invalidate the "cosmological billards" heuristic arguments for existence of singularities of mixmaster type in the current context.

Original language	English
Article number	117002
Number of pages	10
Journal	Classical and Quantum Gravity
Volume	33
Issue number	11
Early online date	10 Dec 2015
DOIs	https://doi.org/10.1088/0264-9381/33/11/117002
Publication status	Published - 11 May 2016

Austrian Fields of Science 2012

103028 Theory of relativity

Keywords

gr-qc
timelike singularity
cosmological billiards
BKL conjecture

Access to Document

10.1088/0264-9381/33/11/117002

http://arxiv.org/abs/1512.03302

Cite this

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title = "Timelike singularities and Hamiltonian cosmological billiards",

abstract = "We construct a large class of vacuum solutions of the Einstein equations without any symmetries and with controlled asymptotics near a timelike singularity. The solutions are obtained by a Fuchs analysis of the equations which evolve the metric in a spacelike direction. We further observe that the changes of signs of some of the terms (walls) in the associated Hamiltonian invalidate the {"}cosmological billards{"} heuristic arguments for existence of singularities of mixmaster type in the current context.",

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AB - We construct a large class of vacuum solutions of the Einstein equations without any symmetries and with controlled asymptotics near a timelike singularity. The solutions are obtained by a Fuchs analysis of the equations which evolve the metric in a spacelike direction. We further observe that the changes of signs of some of the terms (walls) in the associated Hamiltonian invalidate the "cosmological billards" heuristic arguments for existence of singularities of mixmaster type in the current context.

KW - gr-qc

KW - timelike singularity

KW - cosmological billiards

KW - BKL conjecture

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JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

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ER -

Timelike singularities and Hamiltonian cosmological billiards

Abstract

Austrian Fields of Science 2012

Keywords

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Non-Chaotic Vacuum Singularities without Symmetries

Non-chaotic vacuum singularities without symmetries

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Timelike singularities and Hamiltonian cosmological billiards

Abstract

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Fingerprint

Activities

Non-Chaotic Vacuum Singularities without Symmetries

Non-chaotic vacuum singularities without symmetries

Cite this