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We unveil a novel class of traversable wormholes exhibiting exact spherical symmetry, geometrically inspired by the minimal surface structure of a catenoid. Introducing the spacetime metric, we rigorously derive its fundamental curvature…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Bikramarka S Choudhury , Md Khalid Hossain , Farook Rahaman

An analytical solution representing traversable asymptotically flat and symmetric wormholes was obtained without adding exotic matter in two different theories independently: in the Einstein-Maxwell-Dirac theory and in the second…

General Relativity and Quantum Cosmology · Physics 2021-10-08 M. S. Churilova , R. A. Konoplya , Z. Stuchlik , A. Zhidenko

We examine the linear stability of static, spherically symmetric wormhole solutions of Einstein's field equations coupled to a massless ghost scalar field. These solutions are parametrized by the areal radius of their throat and the product…

General Relativity and Quantum Cosmology · Physics 2008-12-25 J. A. Gonzalez , F. S. Guzman , O. Sarbach

We present the first analysis of traversable wormhole solutions within the framework of Einstein-aether theory. We show that the corresponding field equations admit three distinct wormhole geometries, obtained by adopting three different…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Hanif Golchin , Hamid R. Bakhtiarizadeh , Mohammad Reza Mehdizadeh

The $C$-metric is a boost-symmetric spacetime solution to the vacuum Einstein field equations which describes black holes that are uniformly accelerated under the tension of a cosmic string. Only recently the thermodynamics of accelerating…

General Relativity and Quantum Cosmology · Physics 2022-06-24 Kyriakos Destounis , Giacomo Mascher , Kostas D. Kokkotas

We construct examples of static, spherically symmetric wormhole solutions in general relativity with a minimally coupled scalar field $\phi$ whose kinetic energy is negative in a restricted region of space near the throat (of arbitrary…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Kirill A. Bronnikov , Sergey V. Sushkov

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

We construct exact nonstatic nonhomogeneous spherically symmetric solutions in the theory of gravity with a scalar field possessing the exponential potential. The solution of particular interest corresponds to the scalar field with negative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergey V. Sushkov , Yuan-Zhong Zhang

We explore the possibility of dynamic wormhole geometries, within the context of nonlinear electrodynamics. The Einstein field equation imposes a contracting wormhole solution and the obedience of the weak energy condition. Furthermore, in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Aaron V. B. Arellano , Francisco S. N. Lobo

Wormholes and black holes have traditionally been treated a quite separate objects with relatively little overlap. The possibility of a connection arises in that wormholes, if they exist, might have profound influence on black holes, their…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Matt Visser , David Hochberg

In this paper, we study quantum relativistic features of a scalar field around the Rindler-Schwarzschild wormhole. First, we introduce this new class of spacetime, investigating some energy conditions and verifying their violation in a…

General Relativity and Quantum Cosmology · Physics 2022-11-29 C. R. Muniz , H. R. Christiansen , M. S. Cunha , J. Furtado , V. B. Bezerra

In this paper, we study the spherically symmetric Dirac star model in the presence of a phantom field, obtaining a traversable wormhole solution in non-trivial topological spacetime. This solution exhibits asymmetry in both the field…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Chen-Hao Hao , Shi-Xian Sun , Long-Xing Huang , Rong Zhang , Xin Su , Yong-Qiang Wang

A detailed study of quantum and semiclassical Euclidean wormholes for Einstein's theory with a minimally coupled scalar field has been performed for a class of potentials. Massless, constant, massive (quadratic in the scalar field) and…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Soumendranath Ruz , Subhra Debnath , Abhik Kumar Sanyal , Bijan Modak

First, the ideas introduced in the wormhole research field since the work of Morris and Thorne are briefly reviewed, namely, the issues of energy conditions, wormhole construction, stability, time machines and astrophysical signatures.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose' P. S. Lemos , Francisco S. N. Lobo , Sergio Quinet de Oliveira

By a combination of analytical and numerical techniques, we demonstrate the existence of spherical, asymptotically flat traversable wormholes supported by exotic matter whose stress tensor relative to the orthonormal frame of Killing…

General Relativity and Quantum Cosmology · Physics 2015-05-13 J. A. Gonzalez , F. S. Guzman , N. Montelongo-Garcia , T. Zannias

It has been suggested that the cosmological constant is a variable dynamical quantity. A class of solution has been presented for the spherically symmetric space time describing wormholes by assuming the erstwhile cosmological constant…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Rahaman , M. Kalam , M. Sarker , A. Ghosh , B. Raychaudhuri

Wormhole solutions in a generalized hybrid metric-Palatini matter theory, given by a gravitational Lagrangian $f\left(R,\cal{R}\right)$, where $R$ is the metric Ricci scalar, and $\mathcal{R}$ is a Palatini scalar curvature defined in terms…

General Relativity and Quantum Cosmology · Physics 2018-10-03 João Luís Rosa , José P. S. Lemos , Francisco S. N. Lobo

Within general relativity, we study spherically symmetric configurations with wormhole topology consisting of spinor fields and a Maxwell electric field. For such a system, we construct complete families of regular asymmetric solutions…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Vladimir Dzhunushaliev , Vladimir Folomeev , Nurzada Beissen , Adilet Nurmukhamedov

We review a new traversable-wormhole solution of the gravitational field equation of general relativity without exotic matter. Instead of having exotic matter to keep the wormhole throat open, the solution relies on a 3-dimensional…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Frans R. Klinkhamer

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