We identify a region of a specific F(R) = RN 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) = RN gravity possible. The geometry of the interaction region is equivalent to the

Reissner-Nordstr¨om (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.

isometric to the spacetime of colliding plane waves (CPW). The analogy renders construction and collision

of plane waves in F(R) = RN gravity possible. The geometry of the interaction region is equivalent to the

Reissner-Nordstr¨om (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.

typ: | article |
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journal: | European Physical Journal Plus |

volume: | 131 |

pages: | 350 |

year: | 2016 |