Static Cylindrically Symmetric Interior Solutions in f(R) Gravity

Abstract

We investigate some exact static cylindrically symmetric solutions for a perfect fluid in the metric $f(R)$ theory of gravity. For this purpose, three different families of solutions are explored. We evaluate energy density, pressure, Ricci scalar and functional form of $f(R)$. It is interesting to mention here that two new exact solutions are found from the last approach, one is in particular form and the other is in the general form. The general form gives a complete description of a cylindrical star in $f(R)$ gravity.

10 pages, no figure

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• Late Time Cosmological Evolution in f(R) theories with Ordinary and Collisional Matter
• Abelian cosmic string in the Starobinsky model of gravity
• Scalar and Electromagnetic Quasinormal modes of Extended black hole in F(R) gravity
• Cylindrically symmetric and plane-symmetric solutions in $f(R)$ theory via Noether symmetries
• A Note on Gravitational Memory in F(R)-theories and their Equivalent Scalar-Tensor Theories
• Higher-dimensional Holographic Superconductors in Born-Infeld Electrodynamics and f(R) Gravity