https://doi.org/10.1140/epjp/i2018-12344-y
Regular Article
Static spherically symmetric wormholes in generalized f(R,
) gravity
1
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan
2
School of Mathematics and Physics, University of Lincoln. Brayford Pool, LN6 7TS, Lincoln, UK
3
Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, CB3 0HE, Cambridge, UK
4
Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, UK
* e-mail: sbahamondebeltran@gmail.com
Received:
7
October
2018
Accepted:
27
October
2018
Published online:
18
December
2018
In this paper, we examine static spherically symmetric wormhole solutions in generalized f(R,) gravity. To do this, we consider three different kinds of fluids: anisotropic, barotropic and isotropic. We explore different f(R,) models and inspect the energy conditions for all of those three fluids. It is found that under some models in this theory, it is possible to obtain wormhole solutions without requiring exotic matter. The discussion about the conditions where the standard energy conditions (WEC and NEC) are valid for the fluids is discussed in details. From our results and for our cases, we conclude that for anisotropic and isotropic fluids, realistic wormhole geometries satisfying the energy conditions can be constructed.
© The Author(s), 2018
