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Motivated by recent proposals of possible wormhole shape functions, we construct a wormhole shape function by employing the Karmarkar condition for static traversable wormhole geometry. The proposed shape function generates wormhole…

General Relativity and Quantum Cosmology · Physics 2020-12-07 M. Farasat Shamir , I. Fayyaz

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

In this work, we have studied the traversable wormholes geometry in $f(R)$ theory gravity, where $R$ be the Ricci scalar. The wormhole solution for some assumed $f(R)$ functions have been presented. The assumption of $f(R)$ is based on the…

General Relativity and Quantum Cosmology · Physics 2021-12-24 B. Mishra , A. S. Agrawal , S. K. Tripathy. Saibal. Ray

In this paper, we investigate how charge and modified terms affect the viability and stability of traversable wormhole geometry in the framework of $f(R,G)$ theory, where $R$ is the Ricci scalar and $G$ is the Gauss-Bonnet term. For this…

General Relativity and Quantum Cosmology · Physics 2023-11-10 M. Zeeshan Gul , M. Sharif

This paper investigated the viable traversable wormhole solutions through Karmarkar condition in the context of $f(\mathcal{G},T)$ theory. A static spherical spacetime with anisotropic matter configuration is used to study the wormhole…

General Relativity and Quantum Cosmology · Physics 2024-04-30 M. Zeeshan Gul , M. Sharif

In this paper, we use the embedding class-I technique to examine the effect of charge on traversable wormhole geometry in the context of $f(\mathcal{G})$ theory, where $\mathcal{G}$ is the Gauss-Bonnet term. For this purpose, we consider…

General Relativity and Quantum Cosmology · Physics 2024-03-04 M. Zeeshan Gul , M. Sharif

In this work, we analyze the wormhole solutions in $f(R)$ gravity. Specifically we sought for wormhole geometry solutions for the following three shape functions: (i) $b(r)=r_{0}+\rho_{0}r_{0}^{3}\ln\left(\frac{r_{0}}{r}\right)$, (ii)…

General Relativity and Quantum Cosmology · Physics 2022-04-22 B. Mishra , A. S. Agrawal , S. K. Tripathy , S. Ray

In this work, the study of traversable wormholes in $f(R)$ gravity with the function $f(R)=R+\alpha R^n$, where $\alpha$ and $n$ are arbitrary constants, is taken into account. The shape function $b(r)=\frac{r}{\exp(r-r_0)}$, proposed by…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Nisha Godani , Gauranga C. Samanta

The present paper is aimed at the study of traversable wormholes in $f(R)$ gravity with a viable $f(R)$ function defined as $f(R)=R-\mu R_c\Big(\frac{R}{R_c}\Big)^p$, where $R$ is scalar curvature, $\mu$, $R_c$ and $p$ are constants with…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Nisha Godani , Gauranga C. Samanta

In this work, we investigate wormhole geometries within the framework of $f(R,\mathcal{L}_{m})$ gravity by considering a specific form of the model. From the corresponding field equations, the shape function is derived, and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 A. S. Agrawal , Baljeet Kaur Lotte , Reshma Kapse , B. Mishra

In this study, we investigate traversable wormhole solutions within the setup of $f(R,\mathcal{L}_{m})$ gravity, a modified theory of gravity where the gravitational action relies upon the matter Lagrangian $\mathcal{L}_{m}$ and the Ricci…

General Relativity and Quantum Cosmology · Physics 2025-09-10 A. S. Agrawal , Sankarsan Tarai , B. Mishra , S. K. Tripathy

This work is devoted to the study of analytic wormhole solutions within the framework of $f(R)$ gravity theory. To check the possibility of having wormhole structures satisfying energy conditions, by means of the class I approach the pair…

General Relativity and Quantum Cosmology · Physics 2022-06-09 A. S. Agrawal , B. Mishra , Francisco Tello-Ortiz , A. Alvarez

In this work, the study of traversable wormholes in $f(R)$-massive gravity with the function $f(R)=R+\alpha_{1} R^{n}$, where $\alpha_{1}$ and $n$ are arbitrary constants, is considered. We choose the modified shape function $b(r)$. We…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Takol Tangphati , Auttakit Chatrabhuti , Daris Samart , Phongpichit Channuie

In the present work, a new form of the logarithmic shape function is proposed for the linear $f(R,T)$ gravity, $f(R,T)=R+2\lambda T$ where $\lambda$ is an arbitrary coupling constant, in wormhole geometry. The desired logarithmic shape…

General Physics · Physics 2021-08-02 Archana Dixit , Chanchal Chawla , Anirudh Pradhan

We present a traversable wormhole solution using the traceless $f(R,T)$ theory of gravity. In the $f(R,T)$ gravity, the Ricci scalar $R$ in the Einstein-Hilbert action is replaced by a function of $R$ and trace of the energy momentum tensor…

General Relativity and Quantum Cosmology · Physics 2021-09-02 Parbati Sahoo , P. H. R. S. Moraes , Marcelo M. Lapola , P. K. Sahoo

We study the traversable wormhole solutions for a logarithmic corrected $f(R)$ model by considering two different statements of shape $b(r)$ and redshift $\Phi(r)$ functions. We calculate the parameters of the model including energy density…

General Relativity and Quantum Cosmology · Physics 2022-03-29 J. Sadeghi , M. Shokri , S. Noori Gashti , B. Pourhassan , P. Rudra

We have proposed a novel shape function on which the metric that models traversable wormholes is dependent. Using this shape function, the energy conditions, equation of state and anisotropy parameter are analyzed in $f(R)$ gravity,…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Gauranga C. Samanta , Nisha Godani , Kazuharu Bamba

In the present article, models of traversable wormholes within the $f(R, T)$ modified gravity theory are investigated. We have presented some wormhole models, developed from various hypothesis for the substance of their matter, i.e. various…

General Physics · Physics 2021-08-03 Ambuj Kumar Mishra , Umesh Kumar Sharma , Vipin Chandra Dubey , Anirudh Pradhan

In this present work, we have studied the traversable wormhole geometries in $f(R,T)$ gravity theory, where $R$ denotes the Ricci scalar and $T$ is the trace of the energy-momentum tensor. Firstly, two new shape functions are obtained for…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Bikram Ghosh , Saugata Mitra

We investigate traversable wormhole solutions within the framework of $f(\mathscr{Q},\mathscr{L}_m)$ gravity, a symmetric teleparallel theory featuring non-minimal coupling between geometry and matter. Adopting a linear functional form…

General Relativity and Quantum Cosmology · Physics 2026-01-15 K. Suhasini , G. Ravi Kiran , N. S. Kavya , C. S. Varsha , V. Venkatesha
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