https://doi.org/10.1140/epjc/s10052-020-8159-4
Regular Article - Theoretical Physics
A new class of f(R)-gravity model with wormhole solutions and cosmological properties
Departamento de Física, Facultad de ciencias básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile
* e-mail: francisco.tello@ua.cl
Received:
13
November
2019
Accepted:
15
June
2020
Published online:
29
June
2020
A spherically symmetric wormhole family of solutions, with null red-shift, in the context of f(R)-gravity is presented. The model depends on two parameters: m and 
and meets all requirements to be an asymptotically and traversable wormhole. To solve the field equations, an EoS is imposed: 
. It is found that for 
the solution satisfies the null energy condition, although 
everywhere. For 
, the model satisfies the null energy condition away from the throat, where the function F(R) is everywhere positive and together with dF(R)/dR vanish at the throat of the wormhole. This fact is beyond the scope of the non-existence theorem. Furthermore, the cosmological viability of the model, to address the late – time accelerated epoch, is analyzed on the background of a flat FLRW space-time. The model satisfies consistency of local gravity tests, stability under cosmological perturbations, ghosts free and stability of the de Sitter point.
© The Author(s), 2020
