Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity

Abstract

We study static traversable wormholes obtained by Morris and Thorne in general relativity (GR) in the framework of a modified theory of gravity. The modified gravitational action $f(R,T)$ is a function of the Ricci scalar ($R$) and of the trace of the energy momentum tensor ($T$). For a modified gravity $f(R,T)=R+\alpha R^2+\lambda T$, where $\alpha$ and $\lambda$ are constants, we obtain wormhole solutions (WH) with normal matter for a relevant shape functions. The energy conditions are checked at the throat and away from the throat of the WH. The coupling parameters $\alpha$ and $\lambda$ in the gravitational action play an important role to accommodate the matter composition. For a given $\lambda$, WH solutions are found in the presence of exotic matter at the throat for $\alpha <0$. It is shown that WH exists in the modified gravity without exotic matter when $\alpha >0$. We consider two different shape functions to investigate the existence of WH in the presence of exotic or normal matter. A class of WH solutions exist with anisotropic fluid provided $\lambda \ne -8\pi$. In flat asymptotic regions on both sides of the throat with anisotropic source and $\lambda =-8\pi$, it does not permit WH as per no go theorem. As $\lambda \to 0$ in the gravitational action, all the energy conditions are obeyed with the hybrid shape function indicating existence of WH with normal matter.

arXiv comment23 pages, 15 figures

References in corpus (66)

• f(R,T) gravity
• Disappearing cosmological constant in f(R) gravity
• Wormhole geometries in f(R) modified theories of gravity
• Wormholes supported by a phantom energy
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Modified-gravity wormholes without exotic matter
• Covariant conservation of energy momentum in modified gravities
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• The null energy condition in dynamic wormholes
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Starobinsky-like Inflationary Models as Avatars of No-Scale Supergravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• No-Scale Supergravity Realization of the Starobinsky Model of Inflation
• Wormholes supported by hybrid metric-Palatini gravity
• Modelling wormholes in $f(R,T)$ gravity
• f(R,T) Cosmological Models in Phase Space
• Dark energy as the weight of violating energy conservation
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Testing some f(R,T) gravity models from energy conditions
• Generalized energy conditions in Extended Theories of Gravity
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Energy conditions in modified gravity
• Emergent Universe with Exotic Matter
• Wormhole Geometries In $f(R,T)$ Gravity
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Dynamic wormholes
• A general class of braneworld wormholes
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• General class of wormhole geometries in conformal Weyl gravity
• Testing wormhole solutions in extended gravity through the Poynting-Robertson effect
• General relativistic Poynting-Robertson effect to diagnose wormholes existence: static and spherically symmetric case
• Notes on wormhole existence in scalar-tensor and F(R) gravity
• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Black hole solutions in F(R) gravity with conformal anomaly
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Astrophysics of Wormholes
• Wormholes in exponential $f(R,T)$ gravity
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Traversable Wormholes in $R+\alpha R^n$ Gravity
• From wormhole to time machine: Comments on Hawking's Chronology Protection Conjecture
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Traversable Wormholes and Time Machines in non-minimally coupled curvature-matter $f(R)$ theories
• Thin-shell wormholes with charge in F(R) gravity
• Starobinsky-like two-field inflation
• On new variational principles as alternatives to the Palatini method
• Charged wormholes in f(R,T) extended theory of gravity
• Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
• Necessary conditions for having wormholes in f(R) gravity
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Wormhole model with a hybrid shape function in f(R,T) gravity
• Wormholes with fluid sources: A no-go theorem and new examples
• The growth factor of matter perturbations in an f(R) gravity
• Starobinsky-Like Inflation in Dilaton-Brane Cosmology
• Wormholes supported by phantom energy from Shan-Chen cosmological fluids
• Phantom Wormhole Solutions in a Generic Cosmological Constant Background
• Phantom fluid wormhole in $f(R,T)$ gravity
• An exponential shape function for wormholes in modified gravity
• Horizon closeness bounds for static black hole mimickers
• Wormhole geometries in modified gravity
• Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections

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• Possibility of the Traversable Wormholes in the Galactic Halos within $4D$ Einstein-Gauss-Bonnet Gravity
• Dymnikova-Schwinger traversable wormholes
• Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity
• Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity
• Finslerian wormhole solution in the framework of modified gravity
• Traversable wormholes with double layer thin shells in quadratic gravity
• Validity of energy conditions of matter in traversable wormholes under the $f(Q)$ modified gravity theory
• Wormhole generating function in $f(R,T)$ gravity
• Wormhole solutions in generalized Rastall gravity
• Viable Wormhole Structures and Energy Conditions in f(Q,T) Theory
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity