https://doi.org/10.1140/epjc/s10052-021-09854-7
Regular Article - Theoretical Physics
Wormhole geometries in f(Q) gravity and the energy conditions
1
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
2
Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, 281 406, Mathura, Uttar Pradesh, India
3
Department of Physics, Faculty of Science, Chulalongkorn University, 10330, Bangkok, Thailand
4
Department of Mathematics, Jadavpur University, 700032, Kolkata, India
Received:
12
October
2021
Accepted:
17
November
2021
Published online:
25
November
2021
Following the recent theory of f(Q) gravity, we continue to investigate the possible existence of wormhole geometries, where Q is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have been studied for some spherically symmetric configurations in Mustafa (Phys Lett B 821:136612, 2021) and Lin and Zhai (Phys Rev D 103:124001, 2021). One can note that field equations are different in these two studies. Following Lin and Zhai (2021), we systematically study the field equations for wormhole solutions and found the violation of null energy conditions in the throat neighborhood. More specifically, considering specific choices for the f(Q) form and for constant redshift with different shape functions, we present a class of solutions for static and spherically symmetric wormholes. Our survey indicates that wormhole solutions could not exist for specific form function 
. To summarize, exact wormhole models can be constructed with violation of the null energy condition throughout the spacetime while being 
and vice versa.
© The Author(s) 2021
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