Static Cylindrically Symmetric Interior Solutions in f(R) Gravity

TL;DR

This paper derives exact static cylindrically symmetric solutions in f(R) gravity, exploring three families of solutions, including two novel solutions, to model cylindrical stars with detailed physical properties.

Contribution

The study presents three new families of exact solutions in f(R) gravity, including two novel solutions, enhancing understanding of cylindrical stellar models.

Findings

Two new exact solutions in f(R) gravity are identified.

The solutions provide detailed descriptions of cylindrical stars.

Energy density, pressure, Ricci scalar, and f(R) form are evaluated.

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.