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SUMMARY:Homogeneity of the universe emerging from the Equivalence Principl
e and Poisson equation: A comparison between Newtonian and MONDian cosmolo
gy
DTSTART;VALUE=DATE-TIME:20190511T132000Z
DTEND;VALUE=DATE-TIME:20190511T134000Z
DTSTAMP;VALUE=DATE-TIME:20200712T065201Z
UID:indico-contribution-3403595@indico.cern.ch
DESCRIPTION:Speakers: Eduardo Guendelman (Ben Gurion University)\nA corres
pondence between the Equivalence principle and the homogeneity of the univ
erse is discussed. We show that under the Newtonian gravity\, translation
of co-moving coordinates in a uniformly expanding universe defines a new a
ccelerated frame. A consistency condition for the invariance of this trans
formation yields the second Friedman equation. All these symmetries are lo
st when we modify Newton’s second law and/ or the Poisson equation. For
example by replacing Newton’s second law with non-linear function of the
acceleration\, as Modified Newtonian Dynamics (MOND) suggested\, the conc
ept of relative acceleration is lost. As a consequence the homogeneity of
the universe breaks. Therefore MOND which changes Newton’s second law or
a QUAdratic Lagrangian (AQUAL) which changes the Poisson equation are not
complete theories and they should be amended to preserve the cosmological
principle. Only locally could MOND be used as a toy model\, but not as a
global theory which should describe a universe in large scales.\n\nhttps:/
/indico.cern.ch/event/721602/contributions/3403595/
LOCATION:Naviti Beach Club Varadero Hotel
URL:https://indico.cern.ch/event/721602/contributions/3403595/
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