https://doi.org/10.1140/epjc/s10052-019-7596-4
Regular Article - Theoretical Physics
Study on wormhole geometry with 
matter in modified gravity
1
Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura, Uttar Pradesh, India
2
Government Polytechnic, Goa, India
3
Department of Physics, Gandhi Institute for Technological Advancement, Bhubaneswar, India
4
Department of Mathematics, BITS Pilani K K Birla Goa Campus, Goa, India
* e-mail: gauranga81@gmail.com
Received:
3
November
2019
Accepted:
26
December
2019
Published online:
16
January
2020
In this work, static traversable wormholes are investigated in 
gravity with logarithmic trace term T, where R denotes the Ricci scalar, and 
, the trace of the energy momentum tensor. The connection between energy density of the matter component and the Ricci scalar is taken into account. Exact wormhole solutions are determined for three different novel forms of energy density: 
, 
and 
, where prime denotes derivative with respect to r. The parameters 
, 
, 
, 
, 
, 
, 
and 
play an important role for the absence of exotic matter inside the wormhole geometry. The parameter space is separated into numerous regions where the energy conditions are obeyed.
© The Author(s), 2020
