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Traversable wormholes, tunnel like structures introduced by Morris \& Thorne \cite{morris1}, have a significant role in connection of two different space-times or two different parts of the same space-time. The characteristics of these…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Nisha Godani , Gauranga C. Samanta

In the present paper, the modelling of traversale wormholes, proposed by Morris \& Thorne \cite{morris1}, is performed within the $f(R)$ gravity with particular viable case $f(R)=R-\mu R_c\Big(\frac{R}{R_c}\Big)^p$, where $\mu, R_c>0$ and…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Gauranga C. Samanta , Nisha Godani

In this work, wormholes, tunnel like structures introduced by Morris \& Thorne \cite{Morris95}, are explored within the framework of $f(R)$ gravity. Using the shape function $b(r)=r_0\big(\frac{r}{r_0}\big)^\gamma$, where $0<\gamma<1$, and…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Gauranga C Samanta , Nisha Godani

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 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

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, 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

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

The theoretical construction of a traversable wormhole proposed by Morris and Thorne maintains complete control over the geometry by assigning both the shape and redshift functions, thereby leaving open the determination of the…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Peter K. F. Kuhfittig

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

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

The objective of this manuscript is to investigate the traversable wormhole solutions in the background of the $f(R, \phi)$ theory of gravity, where $R$ is the Ricci scalar and $\phi$ is the scalar potential respectively. For this reason,…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Adnan Malik , Tayyaba Naz , Abdul Qadeer , M. Farasat Shamir , Z. Yousaf

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

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 discusses the possible existence of traversable wormholes in f(R) modified gravity while assuming a noncommutative-geometry background, as well as zero tidal forces. The first part of the paper aims for an overview via several…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Peter K. F. Kuhfittig

Morris and Thorne \cite{morris1} proposed traversable wormholes, hypothetical connecting tools, using the concept of Einstein's general theory of relativity. In this paper, the modification of general relativity (in particular $f(R,T)$…

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

In this work, we construct traversable wormhole geometries in the context of f(R) modified theories of gravity. We impose that the matter threading the wormhole satisfies the energy conditions, so that it is the effective stress-energy…

General Relativity and Quantum Cosmology · Physics 2009-11-12 Francisco S. N. Lobo , Miguel A. Oliveira

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

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
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