Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-07-15
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, no figures, REVTEX4, minor changes
Scientific paper
By setting some special boundary conditions in the variational principle we obtain junction conditions for the five-dimensional $f(R)$ gravity which in the Einstein limit $f(R)\rightarrow R$ transform into the standard Randall-Sundrum junction conditions. We apply these junction conditions to a particular model of a Friedmann universe on the brane and show explicitly that the limit gives the standard Randall-Sundrum model Friedmann equation.
Balcerzak Adam
Dabrowski Mariusz P.
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