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SUMMARY:On stable exponential cosmological solutions with two factor sp
aces in the Einstein-Gauss-Bonnet model with a $\\Lambda$-term
DTSTART;VALUE=DATE-TIME:20181025T145000Z
DTEND;VALUE=DATE-TIME:20181025T151000Z
DTSTAMP;VALUE=DATE-TIME:20190717T154306Z
UID:indico-contribution-1072@cern.ch
DESCRIPTION:Speakers: Aleksandr Kobtsev (Institute for Nuclear Research of
the Russian Academy of Sciences)\nWe study $D$-dimensional Einstein-Gau
ss-Bonnet gravitational model including the Gauss-Bonnet term and the co
smological term $\\Lambda$. We find a class of solutions with exponential
time dependence of two scale factors\, governed by two Hubble-like parame
ters $H >0$ and $h$\, corresponding to factor spaces of dimensions $m >2$
and $l > 2$\, respectively. These solutions contain\na fine-tuned $\\Lambd
a = \\Lambda (x\, m\, l\, \\alpha)$\, which depends upon the ratio $h/H =
x$\, dimensions \nof factor spaces $m$ and $l$\, and the ratio $\\alpha =
\\alpha_2/\\alpha_1$ \nof two constants ($\\alpha_2$ and $\\alpha_1$) of
the model. \nThe master equation $\\Lambda(x\, m\, l\,\\alpha) = \\Lambd
a$\nis equivalent to a polynomial equation of either fourth or third orde
r and may be solved\nin radicals. The explicit solution for $m = l$ is pre
sented in Appendix. Imposing certain restrictions on $x$\, we prove the
stability of the solutions in a class of cosmological solutions with dia
gonal metrics. \nWe also consider a subclass of solutions with small enou
gh variation of the effective gravitational constant $G$ and show the stab
ility of all solutions from this subclass.\n\nhttps://indico.particle.meph
i.ru/event/22/contributions/1072/
LOCATION:Hotel Intourist Kolomenskoye 4* Moskvorechye 1 hall
URL:https://indico.particle.mephi.ru/event/22/contributions/1072/
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