https://doi.org/10.1140/epjp/i2016-16350-9
Regular Article
Colliding plane waves in F(R)=RN gravity
1
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
* e-mail: tahamtan@utf.mff.cuni.cz
Received:
29
August
2016
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