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We have found a simple exact solution of spherically-symmetrical Einstein equations describing a wormhole for an inhomogeneous distribution of the phantom energy. The equation of state is linear but highly anisotropic: while the radial…

General Relativity and Quantum Cosmology · Physics 2009-11-11 O. B. Zaslavskii

The wormhole solution could be found by solving the Einstein field equations with violating the null energy condition (NEC). We represent wormhole solutions in $\kappa(R,T)$ gravity in two different ways. At first, we find the shape…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Susmita Sarkar , Nayan Sarkar , Farook Rahaman , Y Aditya

In this study, we explore the new wormhole solutions in the framework of new modified $f(R,L_m)$ gravity. To obtain a characteristic wormhole solution, we use anisotropic matter distribution and a specific form of energy density. As second…

General Relativity and Quantum Cosmology · Physics 2023-05-12 N. S. Kavya , V. Venkatesha , G. Mustafa , P. K. Sahoo , S. V. Divya Rashmi

In this paper, we derive some new exact solutions of static wormholes in f(T) gravity. We discuss independent cases of the pressure components including isotropic and anisotropic pressure. Lastly we consider radial pressure satisfying a…

General Relativity and Quantum Cosmology · Physics 2013-01-22 Mubasher Jamil , Davood Momeni , Ratbay Myrzakulov

There are explored off-diagonal deformations of "prime" metrics in Einstein gravity (for instance, for wormhole configurations) into "target" exact solutions in f(R,T)-modified and massive/ bi-metric gravity theories. The new classes of…

General Relativity and Quantum Cosmology · Physics 2014-03-25 Sergiu I. Vacaru

The current study explores the generalized embedded wormhole solutions in the background of $f(\mathcal{R},\mathcal{G})$ gravity, where $\mathcal{R}$ represents the Ricci scalar and $\mathcal{G}$ denotes the Gauss-Bonnet invariant. To…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Asifa Ashraf , Saadia Mumtaz , Faisal Javed , Zhiyue Zhang

In this paper, exact wormhole solutions in the context of $f(R)$ theory of gravity are investigated. Since the Einstein field equations are modified in 3+1 dimensions in the $f(R)$ theory of gravity, we have studied some possible solutions…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Foad Parsaei , Sara Rastgoo

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,…

General Physics · Physics 2020-01-08 Nisha Godani , Gauranga C. Samanta

This paper examines the effects of charge on traversable wormhole structure in $f(R,T)$ theory. For this purpose, we use the embedding class-I approach to build a wormhole shape function from the static spherically symmetric spacetime. The…

General Relativity and Quantum Cosmology · Physics 2023-08-21 M. Sharif , Arooj Fatima

In this study, we investigate the possible existence of static and spherically symmetric wormhole solutions within the context of the newly formulated extended $f(Q,T)$ gravity. We analyze a linear model, $f(Q,T)=\alpha Q+ \beta T$, and…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Sara Rastgoo , Foad Parsaei , Soudabe Nasirimoghadam

This article explores new physically viable wormhole solutions within the framework of f(R,Lm) gravity theory, incorporating noncommutative backgrounds and conformal symmetries. The study investigates the impact of model parameters on the…

General Relativity and Quantum Cosmology · Physics 2024-01-09 N. S. Kavya , G. Mustafa , V. Venkatesha , P. K. Sahoo

Models of static wormholes within the $f(\textit{R}, \textit{T})$ extended theory of gravity are investigated and, in particular, the family $f(\textit{R}, \textit{T}) = R + \lambda T$, with $T = \rho + P_{r} + 2P_{l}$ being the trace of…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Emilio Elizalde , Martiros Khurshudyan

In this paper, we evaluate traversable wormhole solutions through Karmarkar condition in $f(R,T)$ theory, where $T$ is the trace of the energy-momentum tensor and $R$ represents the Ricci scalar. We develop a wormhole shape function for the…

General Relativity and Quantum Cosmology · Physics 2023-03-06 M. Sharif , Arooj Fatima

We consider the inhomogeneous Morris-Thorne wormhole metric with matter tensors characterised by a novel linear equation of state in $f(R)$ gravity. Using the Einstein's field equations in metric $f(R)$ gravity we model solutions for both…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Subhasis Nalui , Subhra Bhattacharya

Formation of specific static wormhole models is discussed, by assuming an $f(\textit{R}, \textit{T}) = R + 2 \lambda T$ extended theory of gravity, $T =- \rho + P_{r} + 2P_{l}$ being the trace of the energy momentum tensor. In the first…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Emilio Elizalde , Martiros Khurshudyan

In the present work we investigate wormhole configurations described by a constant redshift function in Einstein-Cubic gravity ({{\sf ECG}}). We derive analytical wormhole geometries by assuming a particular equation of state ({{\sf EoS}})…

General Relativity and Quantum Cosmology · Physics 2020-03-05 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie

This research delves into the potential existence of traversable wormholes (WHs) within the framework of modified, curvature based gravity. The modification includes linear perturbations of the matter Lagrangian and the trace of the…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Niklas Loewer , Moreshwar Tayde , P. K. Sahoo

In this paper we study traversable wormholes in the context of $f(R)$ gravity. Exact solutions of traversable wormholes are found by imposing the nonconstant Ricci scalar. These solutions asymptotically match spherical, flat and hyperbolic…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Hanif Golchin , Mohammad Reza Mehdizadeh

In the present article we propose a new hybrid shape function for wormhole (WH)s in the modified $f(R,T)$ gravity. The proposed shape function satisfied the conditions of WH geometry. Geometrical behavior of WH solutions are discussed in…

General Relativity and Quantum Cosmology · Physics 2020-05-22 Parbati Sahoo , Sanjay Mandal , P. K. Sahoo

This work investigates some feasible regions for the existence of traversable wormhole geometries in $f(R,G)$ gravity, where $R$ and $G$ represent the Ricci scalar and the Gauss-Bonnet invariant respectively. Three different matter contents…

General Physics · Physics 2018-11-12 M. Farasat Shamir , Saeeda Zia