Some Five Dimensional Cylindrically Symmetric Interior Solutions for Perfect Fluid in f(R) Theory of Gravity

Ladke L. S., Mishra R. D., Tripade V. P.

Abstract: In this paper, we obtained somefive dimensional cylindrically symmetric interior solutions for perfect fluid in f(R) theory of gravity. Some solutions are obtained by considering three assumptions and discussed them by using isotropy of pressure and subluminal sound speed as physical acceptability conditions in f(R) theory of gravity. Here we obtained some physically acceptable solutions. We explore these five dimensional solutions in terms of functions of Ricci scalar, energy density and pressure.

Keywords: Cylindrical Symmetry, Interior solutions, Perfect fluid, Physical acceptability, f(R) gravity