New spherically symmetric wormhole solutions in f(Q)-gravity theory

Abstract

In this study, we examine the new spherically symmetric wormhole solutions in modified symmetric teleparallel (f(Q)) gravity theory. Using the Morris-Thorne method, we construct traversable wormholes with a physically reasonable energy condition and investigate their stability under small perturbations. We discuss two wormhole geometries under the linear functional form of f(Q) with two distinct shape functions. Our results show that the violations of energy conditions in f(Q) gravity provide a viable framework for the study of wormholes. We analyze the properties of wormholes and their behavior under different conditions such as energy conditions, equilibrium conditions, and volume integral quantifiers to check the stability of wormholes. By using the anisotropy parameter, we observed that model-I is attractive in nature and model-II is attractive and repulsive both varying according to the value of r and constant parameters.

Traversable wormholes satisfying energy conditions in f(Q) gravity

“…In this work, we presented wormhole solutions that satisfy the ECs in the f(Q) theory of gravity. Since the most of the solutions which have been presented before do not respect ECs [69][70][71][72][73][74][75][76][77], our solutions seem to be new and significant.…”

“…Sokoliuk et al have explored the Buchdahl quark stars in the background of f (Q) theory [68]. Recently, wormhole and spherically symmetric configurations have been studied in f (Q) gravity [52,[69][70][71][72][73][74][75][76][77]. In [52], a simple model,…”

On the existence and stability of traversable wormhole solutions with novel shapefunctions in the framework of F(R,Lm) gravity

“…So, the expedition to explore WH geometries under modified theories of gravity continues in our present work. We have used a similar approach to the ones used in [52,54,55,60] to develop two WH models in ( ) , m   L gravity. For both the models, the energy density ρ is positive throughout the spacetime and NEC in the radial direction is violated.…”

“…This result behaves as the key feature for a stable traversable WH in GR, as well as in alternative gravities [50][51][52][53][54][55][56][57][58]. However, from the perspective of ( ) f  gravity, Kiroriwal et al [60] produced WH geometries by assuming physical form of shape functions which violates NEC in a tangential direction only. In contrast to the works [50,[53][54][55][56], NEC in a tangential direction is violated only for some specified region near the throat of the WH for the WH-I model.…”

“…Original GR solutions frequently imply that these structures might not be stable over time, possibly collapsing or experiencing other instabilities. So, in literature [50][51][52][53][54][55][56][57][58][59][60] one can find that the GR modification aims to improve the equations of GR in order to find stable solutions that permit the existence and persistence of traversable WHs. Furthermore, modified theories offer an alternate framework with effective energy-momentum tensor which minimizes restrictions on energy conditions and may support the minimal use of exotic matter for WH configurations.…”