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The present work is an attempt to find possible traversable wormhole solutions in static spherically symmetric space-time supported by anisotropic matter field. Part of the work could be considered as a generalization of the work in Phys.…

General Relativity and Quantum Cosmology · Physics 2019-03-11 Shibaji Halder , Subhra Bhattacharya , Subenoy Chakraborty

It is well known that static wormhole configurations in general relativity (GR) are possible only if matter threading the wormhole throat is "exotic"---i.e., violates a number of energy conditions. For this reason, it is impossible to…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Pavel E. Kashargin , Sergey V. Sushkov

In this work, we find novel static and spherically symmetric wormhole geometries using a three-form field. By solving the gravitational field equations, we find a variety of analytical and numerical solutions and show that it is possible…

General Relativity and Quantum Cosmology · Physics 2018-08-10 Bruno J. Barros , Francisco S. N. Lobo

Wormholes are tunnels connecting two different points in space-time. In Einstein's General Relativity theory, wormholes are expected to be filled by exotic matter, i.e., matter that does not satisfy the energy conditions and may have…

General Relativity and Quantum Cosmology · Physics 2018-01-17 P. H. R. S. Moraes , P. K. Sahoo

Macroscopic traversable wormhole solutions to Einstein's field equations in $(2+1)$ and $(3+1)$ dimensions with a cosmological constant are investigated. Ensuring traversability severely constrains the material used to generate the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. S. Delgaty , R. B. Mann

We consider Non-local Gravity in view to obtain stable and traversable wormhole solutions. In particular, the class of Non-local Integral Kernel Theories of Gravity, with the inverse d'Alembert operator in the gravitational action, is taken…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Salvatore Capozziello , Nisha Godani

This manuscript investigates wormhole solutions within the framework of extended symmetric teleparallel gravity, incorporating non-commutative geometry, and conformal symmetries. To achieve this, we examine the linear wormhole model with…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Chaitra Chooda Chalavadi , V. Venkatesha , N. S. Kavya , S. V. Divya Rashmi

In the late 1980s, Morris and Thorne led in theoretical physics by creating solutions to wormholes and formulating the crucial requirements for safe traversability of wormholes. They found that exotic matter must meet the requirement $P_r +…

General Relativity and Quantum Cosmology · Physics 2025-05-28 A. Errehymy , O. Donmez , A. Syzdykova , K. Myrzakulov , S. Muminov , A. Dauletov , J. Rayimbaev

Several traversable wormholes (T-WHs) of the Morris-Thorne type have been presented as exact solutions of Einstein-nonlinear electrodynamics gravity (GR-NLED), e.g. \cite{Arellano2009, Bronnikov2018,Bronnikov_Walia2021, Canate_Breton2018,…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Pedro Cañate , F. H. Maldonado-Villamizar

To date, many exotic predictions of Einstein's equations have been corroborated, with one exception: wormholes (WHs). In this work, we analyse a new exact solution combination to the Einstein-Maxwell-Dilaton or Phantom equations, which…

General Relativity and Quantum Cosmology · Physics 2026-03-18 Leonel Bixano , Tonatiuh Matos

In this paper, we develop an iterative approach to span the whole set of exotic matter models able to drive a traversable wormhole. The method, based on a Taylor expansion of metric and stress-energy tensor components in a neighbourhood of…

General Relativity and Quantum Cosmology · Physics 2017-04-14 Marco Chianese , Elisabetta Di Grezia , Mattia Manfredonia , Gennaro Miele

In Einstein gravity, for an inhomogeneous phantom energy distribution having linear equation of state (but anisotropic), there exists simple exact solution for spherically symmetric space time describing a wormhole. At infinity, the space…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Subenoy Chakraborty , Tanwi Bandyopadhyay

In this article, we have discussed Morris and Thorne (MT) wormhole solutions in a modified theory of gravity that admits conformal motion. Here we explore the wormhole solutions in $f(R,\,T)$ gravity, which is a function of the Ricci scalar…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Piyali Bhar , Pramit Rej , P. K. Sahoo

Eddington-inspired Born-Infeld gravity (EiBI) gravity is a recently proposed modified theory of gravity, based on the classic work of Eddington and on Born-Infeld nonlinear electrodynamics. In this paper, we consider the possibility that…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Tiberiu Harko , Francisco S. N. Lobo , M. K. Mak , Sergey V. Sushkov

Einstein's equations of general relativity (GR) can describe the connection between events within a given hypervolume of size $L$ larger than the Planck length $L_P$ in terms of wormhole connections where metric fluctuations give rise to an…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Fabrizio Tamburini , Ignazio Licata

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

Wormholes are a solution for General Relativity field equations which characterize a passage or a tunnel that connects two different regions of space-time and is filled by some sort of exotic matter, that does not satisfy the energy…

General Relativity and Quantum Cosmology · Physics 2019-06-14 P. H. R. S. Moraes , W. de Paula , R. A. C. Correa

We study spherically symmetric, self-similar wormhole solutions supported by colliding streams of negative-energy null dust, and their dynamical formation. Under the assumption of self-similarity, the Einstein equations reduce to a system…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Yasutaka Koga , Ryota Maeda , Daiki Saito , Daisuke Yoshida

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

We present several classes of exact solutions in the Einstein-Klein-Gordon system with a cosmological constant. The spacetime has spherical, plane, or hyperbolic symmetry and the higher-dimensional solutions are obtained in a closed form…

General Relativity and Quantum Cosmology · Physics 2013-02-15 Hideki Maeda