Cosmology in nonlinear multidimensional gravity and the Casimir effect
Abstract
We study the possible cosmological models in Kaluza-Klein-type multidimensional gravity with a curvature-nonlinear Lagrangian and a spherical extra space, taking into account the Casimir energy. First, we find a minimum of the effective potential of extra dimensions, leading to a physically reasonable value of the effective cosmological constant in our 4D space-time. In this model, the huge Casimir energy density is compensated by a fine-tuned contribution of the curvature-nonlinear terms in the original action. Second, we present a viable model with slowly evolving extra dimensions and power-law inflation in our space-time. In both models, the results formulated in Einstein and Jordan frames are compared.
Keywords
Cite
@article{arxiv.1612.04177,
title = {Cosmology in nonlinear multidimensional gravity and the Casimir effect},
author = {S. V. Bolokhov and K. A. Bronnikov},
journal= {arXiv preprint arXiv:1612.04177},
year = {2017}
}
Comments
6 pages, 1 figure, submitted to Proceedings of the International conference on particle physics and astrophysics (10-14 October 2016, Moscow, Russia)