Noncommutative inspired wormholes admitting conformal motion involving minimal coupling

Abstract

In this manuscript, we explore the existence of wormhole solutions exhibiting spherical symmetry in a modified gravity namely $f(R,T)$ theory by involving some aspects of non-commutative geometry. For this purpose, we consider the anisotropic matter contents along with the well-known Gaussian and Lorentizian distributions of string theory. For the sake of simplicity in analytic discussions, we take a specific form of $f(R,T)$ function given by $f(R,T)=R+\lambda T$. For both these non-commutative distributions, we get exact solutions in terms of exponential and hypergeometric functions. By taking some suitable choice of free parameters, we investigate different interesting aspects of these wormhole solutions graphically. We also explored the stability of these wormhole models using equilibrium condition. It can be concluded that the obtained solutions are stable and physically viable satisfying the wormhole existence criteria. Lastly, we discuss the constraints for positivity of the active gravitational mass for both these distributions.

arXiv comment12 pages, 8 figures

References in corpus (17)

• f(R,T) gravity
• Noncommutative geometry inspired Schwarzschild black hole
• Wormholes supported by a phantom energy
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Thermodynamics in f(R,T) Theory of Gravity
• Gravitational lensing of wormholes in the galactic halo region
• Reconstructing $f(R,T)$ gravity from holographic dark energy
• Noncommutative geometry inspired dirty black holes
• Wormhole inspired by non-commutative geometry
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Nonommutative wormholes in $f(R)$ gravity
• Noncommutative Wormholes in $f(R)$ Gravity with Lorentzian Distribution
• Beyond the CMSSM without an Accelerator: Proton Decay and Direct Dark Matter Detection
• Wormholes in f(R) gravity with a noncommutative-geometry background
• Noncommutative geometry inspired Einstein-Gauss-Bonnet black holes
• Noncommutative geometry inspired rotating black string
• Stable phantom-energy wormholes admitting conformal motions

Cited by in corpus (5)

• Traversable wormhole solutions with non-exotic fluid in framework of $f(Q)$ gravity
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• An exponential shape function for wormholes in modified gravity
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Energy Constraints for Evolving Spherical and Hyperbolic Wormholes in $f(R,T)$ Gravity