Non violation of energy conditions in wormholes modelling

Abstract

Morris \& Thorne \cite{morris1} proposed geometrical objects called traversable wormholes that act as bridges in connecting two spacetimes or two different points of the same spacetime. The geometrical properties of these wormholes depend upon the choice of the shape function. In literature, these are studied in modified gravities for different types of shape functions. In this paper, the traversable wormholes having shape function $b(r)=\frac{r_0\tanh (r)}{\tanh (r_0)}$ are explored in $f(R)$ gravity with $f(R)=R+\alpha R^m-\beta R^{-n}$, where $\alpha$, $\beta$, $m$ and $n$ are real constants. For different values of constants in function $f(R)$, the analysis is done in various cases. In each case, the energy conditions, equation of state parameter and anisotropic parameter are determined.

arXiv comment24 pages, 32 figures, to be appear in Modern Physics Letters A

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• Gravitational lensing effect in traversable wormholes
• Non-Local Gravity Wormholes
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• A new shape function for wormholes in $f(R)$ gravity and General Relativity
• Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Morris-Thorne-type wormhole with global monopole charge and the energy conditions
• Wormhole solutions in $f(R)$ gravity theory for Chaplygin gas scenario
• Some specific wormhole solutions in $f(R)$-modified gravity theory
• Wormhole modeling in $R^2$ gravity with linear trace term
• Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function
• New Wormhole Solutions in a Viable $f(R)$ Gravity Model
• Quantum Holonomies in Graphene Wormholes
• Wormhole Formation with Gravitational Particle Creation Mechanism
• Redshift as a stretching factor in rotating graphene wormholes
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• A new shape function and some specific wormhole solutions in braneworld scenario