Colliding plane waves in F(R)=RN gravity
Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University in Prague, V Holešovičkách 2, 180 00, Prague 8, Czech Republic
2 Department of Physics, Eastern Mediterranean University, G. Magusa, Mersin 10, North Cyprus, Turkey
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Accepted: 9 September 2016
Published online: 3 October 2016
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-Nordström (RN) one, however there is no Einstein-Maxwell (EM) source --this is made possible by using the model of RN gravity and the parameter creates the source. For N=1, we naturally recover the plane waves (and their collision) in Einstein's theory.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016