Mathematics – Logic
Scientific paper
Sep 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2854k&link_type=abstract
"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an
Mathematics
Logic
General Relativity, Cosmology, Lorentz Invariance, Field Theory
Scientific paper
Lorentz invariance (LI) violation in brane world scenario is considered. The family of Lorentz violating static solutions of bulk Einstein equations are found with ideal relativistic fluid in the bulk. The no go theorem about null energy condition (NEC) in the bulk and for matter on the brane is proved in general case and it is established that for static bulk solution one cannot satisfy them both for Universes of finite volume. We derive the graviton spectrum in the obtained background and show that Newtonian gravity on the brane is restored up to small corrections at short distances. It is remarkable that in the framework under consideration we have graviton zero mode. Localization of fermions is performed by means of bulk Dirac mass. Thus LI violation provides us with interesting technics of localizing of fields on topological defects. In the end we discuss various Lorentz violating backgrounds and analyze their physics. All results will be published in.1
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