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-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 \(N>1\) creates the source. For N=1, we naturally recover the plane waves (and their collision) in Einstein's theory.
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Tahamtan, T., Halilsoy, M. & Habib Mazharimousavi, S. Colliding plane waves in F(R)=RN gravity. Eur. Phys. J. Plus 131, 350 (2016). https://doi.org/10.1140/epjp/i2016-16350-9
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DOI: https://doi.org/10.1140/epjp/i2016-16350-9