Relativistic Wormholes in Extended Teleparallel Gravity with Minimal Matter Coupling

Abstract

This study explores the wormhole solutions utilizing the notion of conformal symmetry in the background of the ffalse(τ,Tfalse)$f(\tau ,T)$ gravity. The exact shape functions are calculated using the Gaussian and Lorentzian distributions as the noncommutative source of the energy density. All the energy conditions are checked for the two different shape functions. The presence of exotic matter is confirmed due to the violation of the null energy conditions. The physical aspects of the epicyclic frequencies of test particles are discussed in the spacetime geometry of the obtained wormholes in the current analysis and it is shown that how they depend on the spacetime parameters. The red‐blue shifts for the photons emitted by the orbiting test particles are also investigated and their dependence on the spacetime parameters is discussed. Further, the stability of the developed structure of the traversable wormholes is investigated by using the Tolman‐Oppenheimer‐Volkoff equation.

New wormhole model with quasi-periodic oscillations exhibiting conformal motion in f(,T) gravity

“…The prominent part of the current analysis is exclusively pointed out as follows: It is interesting to mention that the calculated shape function is the most generic and new shape function under conformal symmetry within the phantom regime, which is viable and meets the Morris and Thorne WH conditions. It is necessary to mention that the obtained shape function has a similar behavior and satisfies all the required properties with similar behavior, which has been already reported in the literature [33,49,50]. Further, the graphical discussion of all the energy conditions for calculated WH solution via shape function has been provided in figures 3-7.…”

Finslerian wormhole solution in the framework of modified gravity

“…Mustafa et al [17] navigated through the landscape of wormhole geometry using conformal symmetry within the framework of  ( ) f T , gravity. As if that wasn't intriguing enough, reference [18] ventured into exploring wormhole solutions in the galactic halo region, this time under the influence of symmetric teleparallel gravity.…”

Analysis of some newly constructed compact models in f(R, T) theory

“…Sharif and Naseer [36][37][38][39][40] adopted certain spacetimes and determined its stable as well as viable anisotropic extensions. Various spacetimes have been expanded to incorporate their respective anisotropic extensions through the MGD method within modified theories [41][42][43][44][45].…”