Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions

Abstract

Traversable wormholes in General Relativity (GR) require exotic matter sources that violate the null energy condition (NEC), and such behavior may be avoided in modified gravity. Moreover, the concept of non-commutative geometry as a gravitational source can be leveraged both in GR and modified gravity to realize non-trivial space-time configurations. In this study, we use $f(R)$ gravity in conjunction with non-commutative geometry to analyze spherically symmetric traversable Morris-Thorne wormhole solutions from the aspect of energy condition violation, considering both constant and variable red-shift functions. First, we use well constrained metric and model parameters in a viable $f(R)$ gravity model to demonstrate that wormholes respecting the NEC can be obtained with suitable choices of parameters. Additionally, we check the strong and dominant energy conditions to further validate our results. We then leverage non-commutative geometry in the framework of $f(R)$ gravity to show that wormholes respecting the different energy conditions with a phantom-like source can be realized with suitable choices of model parameters. Our comprehensive analyses using well-constrained model parameters show that wormholes satisfying the NEC can be realized in the framework of non-commutative geometry with modified gravity.

arXiv comment27 pages, 14 figures, 3 tables

References in corpus (43)

• String Theory and Noncommutative Geometry
• String Theory Dynamics In Various Dimensions
• Noncommutative geometry inspired Schwarzschild black hole
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Conditions for the cosmological viability of f(R) dark energy models
• Traversable wormholes with arbitrarily small energy condition violations
• Wormhole geometries in f(R) modified theories of gravity
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Modelling wormholes in $f(R,T)$ gravity
• A Primer on Energy Conditions
• Generalized energy conditions in Extended Theories of Gravity
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Energy conditions in modified gravity
• Noncommutative geometry inspired dirty black holes
• Wormhole Geometries In $f(R,T)$ Gravity
• Wormhole solutions in symmetric teleparallel gravity
• Wormholes in a viable f(T) gravity
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• Quantifying energy condition violations in traversable wormholes
• New asymptotically flat phantom wormhole solutions
• Searching for higher dimensional wormholes with noncommutative geometry
• Wormhole throats in $R^m$ gravity
• Topics in Noncommutative Geometry Inspired Physics
• Wormhole inspired by non-commutative geometry
• Self-sustained traversable wormholes in noncommutative geometry
• Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Cosmological wormholes in $f(R)$ theories of gravity
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Noncommutative Wormholes in $f(R)$ Gravity with Lorentzian Distribution
• Thin-shell wormholes with charge in F(R) gravity
• Wormhole Modeling Supported by Non-Exotic Matter
• Non violation of energy conditions in wormholes modelling
• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• On the non-attractive character of gravity in f(R) theories
• Entropic force approach to noncommutative Schwarzschild black holes signals a failure of current physical ideas
• Solar system tests of f(R) gravity
• A new approach to non-commutative inflation
• Wormhole modeling in $R^2$ gravity with linear trace term
• Closed timelike curves and causality violation
• A note on the stability of Morris-Thorne wormholes

Cited by in corpus (4)

• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• Traversable wormholes in $f(R)$ gravity sourced by a cloud of strings
• Noncommutative geometry-inspired wormholes supported by quasi-de Sitter and Chaplygin-like equations of state