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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

Static and spherically symmetric wormhole solutions can be reconstructed in the framework of curvature based Extended Theories of Gravity. In particular, extensions of the General Relativity, in metric and curvature formalism give rise to…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Vittorio De Falco , Emmanuele Battista , Salvatore Capozziello , Mariafelicia De Laurentis

We construct a general class of modified Ellis wormholes, where one asymptotic Minkowski region is replaced by a bounded 2-sphere core, characterized by asymptotic finite areal radius. We pursue an in-depth analysis of the resulting…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Renan B. Magalhães , Andreu Masó-Ferrando , Flavio Bombacigno , Gonzalo J. Olmo , Luís C. B. Crispino

We study wormhole as the solution of the Wheeler-deWitt (WdW ) equation satisfying Hawking-Page wormhole boundary conditions in Friedmann-Robertson-Walker (FRW) cosmology. The quantum wormholes are formulated with arbitrary factor ordering…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Farook Rahaman , Bikramarka S. Choudhury , Anikul Islam

We have found a simple exact solution of spherically-symmetrical Einstein equations describing a wormhole for an inhomogeneous distribution of the phantom energy. The equation of state is linear but highly anisotropic: while the radial…

General Relativity and Quantum Cosmology · Physics 2009-11-11 O. B. Zaslavskii

A multidimensional cosmological model with space-time consisting of $n (n \ge 2)$ Einstein spaces $M_{i}$ is investigated in the presence of a cosmological constant $\Lambda$ and a homogeneous minimally coupled scalar field $\varphi(t)$ as…

General Relativity and Quantum Cosmology · Physics 2009-10-22 U. Bleyer , V. D. Ivashchuk , V. N. Melnikov , A. Zhuk

In the present paper we discuss properties of a model of a ring wormhole, recently proposed by Gibbons and Volkov. Such a wormhole connects two flat spacetimes which are glued through discs of the radius $a$ bounded by the string with…

High Energy Physics - Theory · Physics 2023-07-26 Valeri P. Frolov , Pavel Krtous , Andrei Zelnikov

We obtain the general static, spherically symmetric solution for the Einstein-Maxwell-dilaton system in four dimensions with a phantom coupling for the dilaton and/or the Maxwell field. This leads to new classes of black hole solutions,…

High Energy Physics - Theory · Physics 2009-11-06 Gerard Clement , Julio C. Fabris , Manuel Eleuterio Rodrigues

It is shown in the first part of this paper that a combined model comprising ordinary and quintessential matter can support a traversable wormhole in Einstein-Maxwell gravity. Since the solution allows zero tidal forces, the wormhole is…

General Relativity and Quantum Cosmology · Physics 2014-02-04 Peter K. F. Kuhfittig

We consider static and spherically symmetric wormhole solutions in extended metric-affine theories of gravity supposing that stability and traversability of these objects can be achieved by means of the geometric degrees of freedom. In…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Vittorio De Falco , Salvatore Capozziello

We present a generalization of the Rezzolla-Zhidenko theory-agnostic parametrization of black-hole spacetimes to accommodate spherically-symmetric Lorentzian, traversable wormholes (WHs) in an arbitrary metric theory of gravity. By applying…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Thomas D. Pappas

In this article, we study wormhole spacetimes in the framework of the static spherically symmetric SU(2) Einstein-Yang-Mills theory coupled to a phantom scalar field. We show rigorously the existence of an infinite sequence of symmetric…

Mathematical Physics · Physics 2024-09-17 Marko Sobak

We consider static, spherically symmetric solutions of general relativity with a nonlinear sigma model (NSM) as a source, i.e., a set of scalar fields $\Phi = (\Phi^1,...,\Phi^n)$ (so-called chiral fields) parametrizing a target space with…

General Relativity and Quantum Cosmology · Physics 2015-05-13 K. A. Bronnikov , S. V. Chervon , S. V. Sushkov

We construct spherically symmetric thin-shell wormholes supported by a generalized Chaplygin gas in Born-Infeld electrodynamics coupled to Einstein gravity, and we analyze their stability under radial perturbations. For different values of…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Ernesto F. Eiroa , Griselda Figueroa-Aguirre

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

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

The general form of a stationary, axially symmetric traversable wormhole is discussed. This provides an explicit class of rotating wormholes that generalize the static, spherically symmetric ones first considered by Morris and Thorne. In…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Edward Teo

In the simplest form of the Randall-Sundrum model, we consider the metric generated by a static, spherically symmetric distribution of matter on the physical brane. The solution to the five-dimensional Einstein equations, obtained…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. La Camera

The asymptotic structure of AdS spacetimes in the context of General Relativity coupled to the Maxwell field in three spacetime dimensions is analyzed. Although the fall-off of the fields is relaxed with respect to that of Brown and…

High Energy Physics - Theory · Physics 2016-03-23 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

For static, spherically symmetric space-times in general relativity (GR), a no-go theorem is proved: it excludes the existence of wormholes with flat and/or AdS asymptotic regions on both sides of the throat if the source matter is…

General Relativity and Quantum Cosmology · Physics 2018-01-03 K. A. Bronnikov , K. A. Baleevskikh , M. V. Skvortsova