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SUMMARY:Einstein - Eddington generalized gravity
DTSTART;VALUE=DATE-TIME:20110715T101500Z
DTEND;VALUE=DATE-TIME:20110715T103000Z
DTSTAMP;VALUE=DATE-TIME:20240814T034008Z
UID:indico-contribution-5233@events.saip.org.za
DESCRIPTION:Speakers: Evgeny Davydov (Joint Insitute for Nuclear Research)
\nThe present observational data strongly suggest that Einstein's gravity
must be modified\, one of the popular modifications being provided by supe
rstring ideas. In view of the mathematical problems of the string theory\,
other\, much simpler\, modifications of gravity that affect only the grav
itational sector (not touching other interactions) are also popular.\n\nOn
e of them is based on Einstein's idea to formulate the gravity theory in a
non-Riemannian space with a symmetric connection by use of a special vari
ational principle that allows one to determine the connection from a “ge
ometric” Lagrangian. This Lagrangian is assumed to depend on the general
ized Ricci curvature tensor and on other fundamental tensors and is varied
in the connection coefficients.\n\nWe discuss new models of this “affin
e” theory of gravity in multidimensional space-times with symmetric conn
ections. We use and generalize Einstein's proposal to specify the space-ti
me geometry by use of the Hamilton principle to determine the connection c
oefficients from a geometric Lagrangian that is an arbitrary function of t
he generalized Ricci curvature tensor and of other fundamental tensors. Su
ch a theory supplements the standard Einstein gravity with dark energy (th
e cosmological constant\, in the first approximation)\, a neutral massive
(or tachyonic) vector field (vecton)\, and massive (or tachyonic) scalar f
ields. These fields couple only to gravity and can generate dark matter an
d/or inflation. The concrete choice of the geometric Lagrangian determines
further details of the theory. The most natural geometric models look sim
ilar to recently proposed brane models of cosmology usually derived from s
tring theory.\n\nhttps://events.saip.org.za/event/7/contributions/5233/
LOCATION: Acro5
URL:https://events.saip.org.za/event/7/contributions/5233/
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