Regular vacuum thick brane solutions in D-dimensional f(R) = -α R^n gravity with two orthogonal branes exist numerically only for 1 < n < D/2.
Akama, Pregeometry, in: K
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Thick branes in higher-dimensional $f(R)$ gravity
Regular vacuum thick brane solutions in D-dimensional f(R) = -α R^n gravity with two orthogonal branes exist numerically only for 1 < n < D/2.