Backreaction in cosmic screening approach. (English) Zbl 1520.83082
Summary: We investigate the backreaction of nonlinear perturbations on the global evolution of the Universe within the cosmic screening approach. To this end, we have considered the second-order scalar perturbations. An analytical study of these perturbations followed by a numerical evaluation shows that, first, the corresponding average values have a negligible backreaction effect on the Friedmann equations and, second, the second-order correction to the gravitational potential is much less than the first-order quantity. Consequently, the expansion of perturbations into orders of smallness in the cosmic screening approach is correct.
MSC:
| 83F05 | Relativistic cosmology |
| 35B20 | Perturbations in context of PDEs |
| 83E05 | Geometrodynamics and the holographic principle |
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