Gravitational waves and electromagnetic field in a higher order theory of gravity

The theory of gravity and its modifications have attracted scientists over the years owing to its applicability in numerous branches of physics providing solutions to various astrophysical challenges. Among the various modifications, in particular, f(R) theories of gravity based on various motivations have gained more attention. In the present work, we have solved field equations of an f(R) theory of gravity based on the conformal invariance of gravitational waves for a form of generalized Peres space-time by considering the simultaneous existence of electromagnetic waves along with gravitational waves. The wave-like solutions hence obtained are analyzed and important physical features are highlighted.