https://doi.org/10.1140/epjc/s10052-019-7116-6
Regular Article - Theoretical Physics
Validation of energy conditions in wormhole geometry within viable f(R) gravity
1
Department of Mathematics, BITS Pilani K K Birla Goa Campus, Goa, India
2
Department of Mathematics, Institute of Applied Sciences and Humanities GLA University, Mathura, Uttar Pradesh, India
* e-mail: nishagodani.dei@gmail.com
Received:
10
June
2019
Accepted:
7
July
2019
Published online:
25
July
2019
In this work, wormholes, tunnel like structures introduced by Morris and Thorne (Am J Phys 56:395, 1988), are explored within the framework of f(R) gravity. Using the shape function 
, where 
, and the equation of state 
, the f(R) function is derived and the field equations are solved. Then null, weak, strong and dominated energy conditions are analyzed and spherical regions satisfying these energy conditions are determined. Furthermore, we calculated the range of the radius of the throat of the wormhole, where the energy conditions are satisfied.
© The Author(s), 2019
