The Einstein Equations on the 3-BRANE World:. a Window to Extra Dimensions

Details The Einstein Equations on the 3-BRANE World:. a Window to Extra Dimensions The Einstein Equations on the 3-BRANE World:. a Window to Extra Dimensions

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet..498m&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

Based on the Randall-Sundrum alternative compactification in 5-D gravity theory, we derive the 4-D effective gravitational equations on the brane, which reduce to the conventional Einstein equations in the low-energy limit for a positive-tension brane. We find two additional important terms, i.e. a quadratic term of the energy-momentum tensor of matter field and some 5-D Weyl tensor term. The effective equations are not closed only by the variables on the brane because the latter term is a 5-D variable. Since it might provide us a window to look into extra dimensions, we discuss about some effects of those terms on cosmological models and compact objects. We also study more realistic case with a dilaton field based on the Hořava-Witten model.

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