(Compactified) black branes in four dimensional f(R)-gravity

Abstract

A new family of analytical solutions in a four dimensional static spacetime is presented for $f\left(R\right)$-gravity. In contrast to General Relativity, we find that a non trivial black string/ring solution is supported in vacuum power law $f\left(R\right)$-gravity for appropriate values of the parameters characterizing the model and when axisymmetry is introduced in the line element. For the aforementioned solution, we perform a brief investigation over its basic thermodynamic quantities.

13 pages, 3 figures, title changed, minor corrections, new references, accepted version for publication at Physics Letter B

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• Thin shells in (2+1)-dimensional F(R) gravity
• Thin shells in F(R) gravity with non-constant scalar curvature
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Black branes in four-dimensional conformal equivalent theories
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Pure geometric $f(R)$ branes
• Cylindrically symmetric and plane-symmetric solutions in $f(R)$ theory via Noether symmetries