عنوان مجله
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INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
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چکیده
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Following our recent work on braneworld mimetic gravity, in this paper, we study an
extension of braneworld mimetic gravity to the case that the gravitational sector on the
brane is modified in the spirit of f(R) theories. We assume the physical 5D bulk metric in
the Randall–Sundrum II braneworld scenario consists of a 5D scalar field (which mimics
the dark sectors on the brane) and an auxiliary 5D metric. We find the 5D Einstein’s
field equations and the 5D equation of motion of the bulk scalar field in this setup. By
using the Gauss–Codazzi equations, we obtain the induced Einstein’s field equations on
the brane. Finally, by adopting the FRW background, we find the Friedmann equation
on the brane in this f(R) mimetic braneworld setup.
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