Non-constant volume exponential solutions in higher-dimensional Lovelock cosmologiesстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 11 декабря 2015 г.
Аннотация:In this paper we propose a scheme which allows one to find all possible
exponential solutions of special class—non-constant volume solutions—in Lovelock
gravity in arbitrary number of dimensions and with arbitrate combinations of Lovelock
terms.We apply this scheme to (6+1)- and (7+1)-dimensional flat anisotropic cosmologies
in Einstein–Gauss–Bonnet and third-order Lovelock gravity to demonstrate
how our scheme does work. In course of this demonstration we derive all possible
solutions in (6 + 1) and (7 + 1) dimensions and compare solutions and their abundance
between cases with different Lovelock terms present. As a special but more
“physical” case we consider spaces which allow three-dimensional isotropic subspace
for they could be viewed as examples of compactification schemes. Our results suggest
that the same solution with three-dimensional isotropic subspace is more “probable”
to occur in the model with most possible Lovelock terms taken into account, which
could be used as kind of anthropic argument for consideration of Lovelock and other
higher-order gravity models in multidimensional cosmologies.