TY - JOUR
T1 - Traversable Wormholes in the Extended Teleparallel Theory of Gravity with Matter Coupling
AU - Mustafa, G.
AU - Ahmad, Mushtaq
AU - OVGUN, ALI
AU - Farasat Shamir, M.
AU - Hussain, Ibrar
N1 - Publisher Copyright:
© 2021 Wiley-VCH GmbH
PY - 2021
Y1 - 2021
N2 - This study explores the Gaussian and the Lorentzian distributed spherically symmetric wormhole solutions in the (Formula presented.) gravity. The basic idea of the Gaussian and Lorentzian noncommutative geometries emerges as the physically acceptable and substantial notion in quantum physics. This idea of the noncommutative geometries with both the Gaussian and Lorentzian distributions becomes more striking when wormhole geometries in the modified theories of gravity are discussed. Here we consider a linear model within (Formula presented.) gravity to investigate traversable wormholes. In particular, we discuss the possible cases for the wormhole geometries using the Gaussian and the Lorentzian noncommutative distributions to obtain the exact shape function for them. By incorporating the particular values of the unknown parameters involved, we discuss different properties of the new wormhole geometries explored here. It is noted that the involved matter violates the weak energy condition for both the cases of the noncommutative geometries, whereas there is a possibility for a physically viable wormhole solution. By analyzing the equilibrium condition, it is found that the acquired solutions are stable. Furthermore, we provide the embedded diagrams for wormhole structures under Gaussian and Lorentzian noncommutative frameworks. Moreover, we present the critical analysis on an anisotropic pressure under the Gaussian and the Lorentzian distributions.
AB - This study explores the Gaussian and the Lorentzian distributed spherically symmetric wormhole solutions in the (Formula presented.) gravity. The basic idea of the Gaussian and Lorentzian noncommutative geometries emerges as the physically acceptable and substantial notion in quantum physics. This idea of the noncommutative geometries with both the Gaussian and Lorentzian distributions becomes more striking when wormhole geometries in the modified theories of gravity are discussed. Here we consider a linear model within (Formula presented.) gravity to investigate traversable wormholes. In particular, we discuss the possible cases for the wormhole geometries using the Gaussian and the Lorentzian noncommutative distributions to obtain the exact shape function for them. By incorporating the particular values of the unknown parameters involved, we discuss different properties of the new wormhole geometries explored here. It is noted that the involved matter violates the weak energy condition for both the cases of the noncommutative geometries, whereas there is a possibility for a physically viable wormhole solution. By analyzing the equilibrium condition, it is found that the acquired solutions are stable. Furthermore, we provide the embedded diagrams for wormhole structures under Gaussian and Lorentzian noncommutative frameworks. Moreover, we present the critical analysis on an anisotropic pressure under the Gaussian and the Lorentzian distributions.
KW - extended teleparallel theory
KW - modified gravity
KW - noncommutative geometry
KW - wormhole solutions
UR - http://www.scopus.com/inward/record.url?scp=85108352032&partnerID=8YFLogxK
U2 - 10.1002/prop.202100048
DO - 10.1002/prop.202100048
M3 - Article
AN - SCOPUS:85108352032
JO - Fortschritte der Physik
JF - Fortschritte der Physik
SN - 0015-8208
ER -