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SUMMARY:On the stability of extra dimensions in nonlinear multidimensional
gravity with multiple factor spaces
DTSTART;VALUE=DATE-TIME:20181024T143500Z
DTEND;VALUE=DATE-TIME:20181024T145500Z
DTSTAMP;VALUE=DATE-TIME:20200228T120813Z
UID:indico-contribution-1099@cern.ch
DESCRIPTION:Speakers: Sergei Bolokhov ()\nWe consider a multidimensional K
aluzaâ€“-Klein-like model with nonlinear curvature terms and two spherical
extra spaces of dimensions $m$ and $n$. The properties of an effective ac
tion for the scale factors of extra dimensions are studied. Dimensional re
duction leads to an effective 4D multiscalar-tensor theory. Based on quali
tative estimates of the Casimir energy contribution at a physically reason
able length scale\, we demonstrate the existence of such sets of the initi
al parameters of the theory in the case $m = n$ that provide a minimum of
the effective potential at this scale which yields a fine-tuned value of t
he effective 4D cosmological constant. The corresponding size of extra dim
ensions depends of which conformal frame is interpreted as the observation
al one: it is about three orders of magnitude larger than the standard Pla
nck length if we adhere to the Einstein frame\, but it is n-dependent in t
he Jordan frame\, and its invisibility requirement leads to some restricti
ons on the total dimension of space-time.\n\nhttps://indico.particle.mephi
.ru/event/22/contributions/1099/
LOCATION:Hotel Intourist Kolomenskoye 4* Petrovskiy-1 hall
URL:https://indico.particle.mephi.ru/event/22/contributions/1099/
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