Kasner like behavior for subcritical Einstein matter systems
Feb, 2002
56 pages
Published in:
- Annales Henri Poincare 3 (2002) 1049-1111
e-Print:
- gr-qc/0202069 [gr-qc]
Report number:
- IHES-P-02-06,
- ULB-TH-02-01
View in:
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Abstract: (arXiv)
Confirming previous heuristic analyses \`a la Belinskii-Khalatnikov-Lifshitz, it is rigorously proven that certain ``subcritical'' Einstein-matter systems exhibit a monotone, generalized Kasner behaviour in the vicinity of a spacelike singularity. The D-dimensional coupled Einstein-dilaton-p-form system is subcritical if the dilaton couplings of the p-forms belong to some dimension dependent open neighbourhood of zero, while pure gravity is subcritical if D is greater than or equal to 11. Our proof relies, like the recent theorem dealing with the (always subcritical) Einstein-dilaton system, on the use of Fuchsian techniques, which enable one to construct local, analytic solutions to the full set of equations of motion. The solutions constructed are ``general'' in the sense that they depend on the maximal expected number of free functions.- Einstein equation
- dilaton: coupling
- space-time: singularity
- any-dimensional
- differential forms
- field equations: solution
- Maxwell equation
- Chern-Simons term
- gauge field theory: Yang-Mills
- field theory: scalar
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