Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity

Abstract

Traversable wormholes, studied by Morris and Thorne \cite{Morris1} in general relativity, are investigated in this research paper in $f(R,T)$ gravity by introducing a new form of non-linear $f(R,T)$ function. By using this novel function, the Einstein's field equations in $f(R,T)$ gravity are derived. To obtain the exact wormhole solutions, the relations $p_t=\omega \rho$ and $p_r=\sinh (r)p_t$, where $\rho$ is the energy density, $p_r$ is the radial pressure and $p_t$ is the tangential pressure, are used. Other than these relations, two forms of shape function defined in literature are used, and their suitability is examined by exploring the regions of validity of null, weak, strong and dominant energy conditions . Consequently, the radius of the throat or the spherical region, with satisfied energy conditions, is determined and the presence of exotic matter is minimized.

19 pages, 9 figure, accepted in Chinese Journal of Physics

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• Gravitational lensing effect in traversable wormholes
• Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Traversable wormholes with logarithmic shape function in f(R, T) gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• Existence of non-exotic traversable wormholes in squared trace extended gravity theory
• Magnetized cosmological model with variable deceleration parameter
• New Wormhole Solutions in a Viable $f(R)$ Gravity Model
• Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity
• Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity