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 change of sign of some of the terms (walls) in the associated Hamiltonian invalidate the ‘cosmological billards’ heuristic arguments for the existence of singularities of the mixmaster type in the current context.
UWThPh-2015-33- Publication:
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Classical and Quantum Gravity
- Pub Date:
- June 2016
- DOI:
- 10.1088/0264-9381/33/11/117002
- arXiv:
- arXiv:1512.03302
- Bibcode:
- 2016CQGra..33k7002K
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 10 pages, 12 figures, journal accepted version