Traversable Wormholes with Exponential Shape Function in Modified Gravity and in General Relativity: A Comparative Study

Abstract

We have proposed a novel shape function on which the metric that models traversable wormholes is dependent. Using this shape function, the energy conditions, equation of state and anisotropy parameter are analyzed in $f(R)$ gravity, $f(R,T)$ gravity and general relativity. Furthermore, the consequences obtained with respect to these theories are compared. In addition, the existence of wormhole geometries is investigated.

arXiv comment24 pages, 4 figures, version accepted for publication in the International Journal of Modern Physics D

References in corpus (7)

• f(T) teleparallel gravity and cosmology
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Conformally symmetric traversable wormholes
• Static spherically symmetric wormholes in generalized $f(R,\varphi )$ gravity
• Linear stability analysis of a rotating thin-shell wormhole
• Static spherically symmetric wormholes with isotropic pressure
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Cited by in corpus (5)

• Wormhole Modeling Supported by Non-Exotic Matter
• Traversable wormholes in $f(R)$ gravity with constant and variable redshift functions
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Traversable wormholes in $f(R)$-massive gravity
• Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity