Cosmological perturbations in a big crunch / big bang space-time
Jun, 2003
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Abstract:
A prescription is developed for matching general relativistic perturbations across singularities of the type encountered in the ekpyrotic and cyclic scenarios i.e. a collision between orbifold planes. We show that there exists a gauge in which the evolution of perturbations is locally identical to that in a model space-time (compactified Milne mod Z_2) where the matching of modes across the singularity can be treated using a prescription previously introduced by two of us. Using this approach, we show that long wavelength, scale-invariant, growing-mode perturbations in the incoming state pass through the collision and become scale-invariant growing-mode perturbations in the expanding hot big bang phase.- 11.25.Mj
- 04.50.+h
- 98.80.Cq
- space-time: singularity
- perturbation
- general relativity
- field theory: scalar
- membrane: scattering
- moduli space: approximation
- dimension: 5
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