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It is shown that the existence of static, cylindrically symmetric wormholes does not require violation of the weak or null energy conditions near the throat, and cylindrically symmetric wormhole geometries can appear with less exotic…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Kirill A. Bronnikov , José P. S. Lemos

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 the present work, we seek for static spherically symmetric solutions representing wormhole configurations in generalized Rastall gravity (GRG). In this theory, a varying coupling parameter could act as dark energy (DE) and thus, it can…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Naser Sadeghnezhad

We consider stationary, cylindrically symmetric configurations in general relativity and formulate necessary conditions for the existence of rotating cylindrical wormholes. It is shown that in a comoving reference frame the rotational part…

General Relativity and Quantum Cosmology · Physics 2013-09-12 Kirill A. Bronnikov , Vladimir G. Krechet , José P. S. Lemos

We seek wormholes among rotating cylindrically symmetric configurations in general relativity. Exact wormhole solutions are presented with such sources of gravity as a massless scalar field, a cosmological constant, and a scalar field with…

General Relativity and Quantum Cosmology · Physics 2016-03-30 K. A. Bronnikov , V. G. Krechet

In the standard approach to studying wormhole geometry, the presence of dark energy is unavoidable to ensure traversability. The dark energy provides the negative gravity effect to keep the throat open. The question we analyse is whether…

General Relativity and Quantum Cosmology · Physics 2024-04-26 Ayan Banerjee , Sudan Hansraj , Anirudh Pradhan , Abdelghani Errehymy

Following the recent theory of $f(Q)$ gravity, we continue to investigate the possible existence of wormhole geometries, where $Q$ is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Ayan Banerjee , Anirudh Pradhan , Takol Tangphati , Farook Rahaman

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

A possible astrophysical object to be found in General Relativity is the wormhole. This special solution describes a topological bridge connecting points in two distinguished universes or two different points in the same universe. Despite…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Moreshwar Tayde , Joao R. L. Santos , Julia N. Araujo , P. K. Sahoo

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

The present paper deals with some wormhole solutions which are obtained by taking two different shape functions along with zero tidal force. For obtaining wormhole solutions, anisotropic fluid and a equation of state $p_t=-\frac{a}{\rho}$…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Bikram Ghosh , Saugata Mitra

We propose wormholes solutions by assuming space dependent equation of state parameter. Our models show that the existence of wormholes is supported by arbitrary small quantities of averaged null energy condition (ANEC) violating phantom…

General Relativity and Quantum Cosmology · Physics 2009-04-24 F. Rahaman , M. Kalam , S. Chakraborty

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

This study discusses the development of some particular static wormhole models in the background of an extended $f(Q)$ gravity theory. Wormhole solutions are derived by considering the radial pressure to admit an equation of state…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Tanmoy Chowdhury , Prabir Rudra , Tandrima Chowdhury , Farook Rahaman

We establish a general no--go theorem demonstrating that all traversable wormhole configurations in Unimodular Gravity necessarily require exotic matter. The proof relies solely on the geometric flaring-out condition, $b'(r_0) \leq 1$,…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Mauricio Cataldo , Norman Cruz , Patricio Salgado

In this paper, we study the energy conditions of charged traversable wormholes in the framework of $f(R, \mathscr{L}_m)$ modified gravity. In the first case, we derive the shape functions (SFs) for two different choices of the charge…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Sagar V. Soni , A. C. Khunt , Farook Rahaman , A. H. Hasmani

Although wormholes can be treated as topological objects in spacetime and from a global point-of-view, a precise definition of what a wormhole throat is and where it can be located can be developed and treated entirely in terms of local…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Hochberg , Matt Visser

The well-known problem of wormholes in general relativity (GR) is the necessity of exotic matter, violating the Weak Energy Condition (WEC), for their support. This problem looks easier if, instead of island-like configurations, one…

General Relativity and Quantum Cosmology · Physics 2020-01-08 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

It is generally believed that wormholes are supported by exotic matter violating Null Energy Condition (NEC). However, various studies of wormhole geometries under Lovelock theories of gravity have reported existence of wormhole supported…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Koushik Chakraborty , Abdul Aziz , Farook Rahaman , Saibal Ray

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