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This paper is devoted to find the feasible shape functions for the construction of static wormhole geometry in the frame work of logarithmic-corrected $R^2$ gravity model. We discuss the asymptotically flat wormhole solutions sustained by…

General Relativity and Quantum Cosmology · Physics 2020-05-21 I. Fayyaz , M. Farasat Shamir

It has recently been shown that traversable wormholes may be supported by phantom energy. In this work phantom wormhole geometries are modelled by matching an interior traversable wormhole solution, governed by the equation of state…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Francisco S. N. Lobo

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 study the traversability of a wormhole in the context of Asymptotically Safe Gravity (ASG) for two different cases, namely, the spherical case and the pseudospherical case. We carried out an analysis in the throat of the…

General Relativity and Quantum Cosmology · Physics 2022-04-28 M. Nilton , J. Furtado , G. Alencar

In this letter we obtain wormhole solutions from the Karmarkar condition in $f(Q)$ gravity formalism, in which $Q$ is the nonmetricity scalar. We show that the combination of such ingredients provides us the possibility of obtaining…

General Relativity and Quantum Cosmology · Physics 2021-09-09 G. Mustafa , Zinnat Hassan , P. H. R. S. Moraes , P. K. Sahoo

In this article, a new family of asymptotically flat wormhole solutions in the context of symmetric teleparallel gravity, i.e., $f(Q)$ theory of gravity, are presented. Considering a power-law shape function and some different forms for…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Sara Rastgoo , Foad Parsaei

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

We consider $f(R, T)$ theory of gravity, in which the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the energy-momentum tensor, to study static spherically symmetric wormhole geometries…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Ayan Banerjee , M. K. Jasim , Sushant G. Ghosh

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

This paper investigates static spherically symmetric traversable wormhole solutions in $f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ represent the Gauss-Bonnet invariant and trace of the energy-momentum tensor, respectively). We…

General Relativity and Quantum Cosmology · Physics 2018-01-10 M. Sharif , Ayesha Ikram

In the context of General Relativity (GR), violation of the null energy condition (NEC) is necessary for existence of static spherically symmetric wormhole solutions. Also, it is a well-known fact that the energy conditions are violated by…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie

The paper deals with static traversable wormhole having shape function a polynomial of the radial coordinate of degree 2. Embedding of the wormholes in space-time is examined both analytically and graphically. Also both timelike and null…

General Relativity and Quantum Cosmology · Physics 2021-12-03 Bikram Ghosh , Sourav Dutta , Sudeshna Mukerji , Subenoy Chakraborty

In this study, both the evolution of wormholes (by examining both the energy conditions and using the TOV equations) and the effects of the Karmarkar condition on the solutions obtained under certain specific cases were examined in the…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Murat Metehan Turkoglu

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

A possible candidate for the present accelerated expansion of the Universe is ''phantom energy'', which possesses an equation of state of the form $\omega\equiv p/\rho<-1$, consequently violating the null energy condition. As this is the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Francisco S. N. Lobo

To find more deliberate $f(R, T)$ astrophysical solutions, we proceed by studying wormhole geometries under the assumption of spherical symmetry and the existence of a conformal Killing symmetry to attain the more acceptable astrophysical…

General Relativity and Quantum Cosmology · Physics 2020-08-21 Ayan Banerjee , Ksh. Newton Singh , M. K. Jasim , Farook Rahaman

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

In this thesis, we investigate traversable wormhole spacetimes within the context of a covariant generalization of Einstein's General Relativity, namely the energy-momentum squared gravity, denoted as $f\left(R,T_{ab}T^{ab}\right)$. Here,…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Nailya Ganiyeva

In this work, we employ the Darmois-Israel thin-shell formalism to construct both static and dynamic thin-shell configurations surrounding traversable wormholes. Initially, using the cut-and-paste technique, we perform a linearized…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Francisco S. N. Lobo

We explore the properties of traversable wormhole spacetimes within the framework of energy-momentum squared gravity, also known as $f(R,T^2)$ gravity, where $R$ represents the Ricci scalar, $T_{ab}$ is the energy-momentum tensor, and $T^2…

General Relativity and Quantum Cosmology · Physics 2025-02-27 Nailya Ganiyeva , João Luís Rosa , Francisco S. N. Lobo