Colliding plane waves in F(R) = RN gravity

Abstract

We identify a region of a specific F(R) = R-N gravity solution without external sources which is isometric to the spacetime of colliding plane waves (CPW). The analogy renders construction and collision of plane waves in F(R) = R-N gravity possible. The geometry of the interaction region is equivalent to the Reissner-Nordstrom (RN) one, however there is no Einstein-Maxwell(EM) source -this is made possible by using the model of R-N gravity and the parameter N > 1 creates the source. For N = 1, we naturally recover the plane waves (and their collision) in Einstein's theory.