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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

In this work, we derive an exact vacuum solution to the Einstein field equations that depends on three constant parameters: the throat radius $r_0$, a parameter $q$, which is closely associated with the Komar mass, and a parameter $s$,…

General Relativity and Quantum Cosmology · Physics 2026-02-24 I. A. Sarmiento-Alvarado , Leonel Bixano , Tonatiuh Matos

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 investigate wormhole geometries with multiple throats and anti-throats in general relativity. The existence of these structures is identified through the analysis of minima and maxima in the area of the solution. Using…

General Relativity and Quantum Cosmology · Physics 2025-04-09 T. M. Crispim , Marcos V. de S. Silva , G. Alencar , Celio R. Muniz , Diego Sáez-Chillón Gómez

The existing solutions to the Einstein equations describing rotating cylindrical wormholes are not asymptotically flat and therefore cannot describe wormhole entrances as local objects in our Universe. To overcome this difficulty, flat…

General Relativity and Quantum Cosmology · Physics 2016-03-30 K. A. Bronnikov

We study thermodynamics of dynamical traversable wormholes. These wormholes are investigated in the background of different cosmological models, with and without the cosmological constant, and which include the power-law and exponential…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Mudassar Rehman , Khalid Saifullah

The construction of traversable wormholes (WHs) with a cosmological constant, $\Lambda$, introduces significant challenges and leads to non-trivial modifications of the spacetime geometry. In this work, we obtain an analytical solution…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Rajesh Karmakar , Xian-Hui Ge

We discuss $(n+1)$-dimensional dynamical wormholes in an evolving cosmological background with a throat expanding with time. These solutions are examined in the general relativity framework. A linear relation between diagonal elements of an…

High Energy Physics - Theory · Physics 2014-11-20 E. Ebrahimi , N. Riazi

We examine the possibility of static wormhole solutions in the vacuum Brans-Dicke theory both in the original (Jordan) frame and in the conformally rescaled (Einstein) frame. It turns out that, in the former frame, wormholes exist only in a…

General Relativity and Quantum Cosmology · Physics 2009-06-30 K. K. Nandi , B. Bhattacharjee , S. M. K. Alam , J. Evans

We present the general method of constructing curved traversable wormholes in (3+1)-d spacetime and proceed to thoroughly discuss the physics of a zero tidal force metric without cross-terms. The (3+1)-d solution is compared with the…

General Relativity and Quantum Cosmology · Physics 2014-04-18 Vee-Liem Saw , Lock Yue Chew

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

When bosonic matter in the form of a complex scalar field is added to Ellis wormholes, the phenomenon of spontaneous symmetry breaking is observed. Symmetric solutions possess full reflection symmetry with respect to the radial coordinate…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Christian Hoffmann , Theodora Ioannidou , Sarah Kahlen , Burkhard Kleihaus , Jutta Kunz

It was shown by Ford and Roman in 1996 that quantum field theory severely constrains wormhole geometries on a macroscopic scale. The first part of this paper discusses a wide class of wormhole solutions that meet these constraints. The type…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Peter K. F. Kuhfittig

The conditions of the traversable wormhole joining with the exterior space-time are considered in details and the mixed boundary problem for the Einstein equations is formulated. It is shown that, in opposite to some declarations, the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Yu. Konstantinov

We describe the different possibilities that a simple and apparently quite harmless classical scalar field theory provides to violate the energy conditions. We demonstrate that a non-minimally coupled scalar field with a positive curvature…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Carlos Barcelo , Matt Visser

It was argued in literature that traversable wormholes can exist with arbitrarily small violation of null energy conditions. We show that if the amount of exotic material near the wormhole throat tends to zero, either this leads to a horn…

General Relativity and Quantum Cosmology · Physics 2008-11-26 O. B. Zaslavskii

We consider static spherically symmetric wormhole configurations in a gravitational theory of a scalar field with a potential $V(\phi)$ and nonminimal derivative coupling to the curvature describing by the term $(\epsilon g_{\mu\nu} +…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Sergey Sushkov , Roman Korolev

We derive the simplest traversable wormhole solutions in $n$-dimensional general relativity, assuming static and spherically symmetric spacetime with a ghost scalar field. This is the generalization of the Ellis solution (or the so-called…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Takashi Torii , Hisa-aki Shinkai

A fundamental property in wormhole physics is the flaring-out condition of the throat, which through the Einstein field equation entails the violation of the null energy condition. In the context of modified theories of gravity, it has also…

General Relativity and Quantum Cosmology · Physics 2012-11-07 Francisco S. N. Lobo

We present an analysis of the classic wormhole geometries based on conformal Weyl gravity, rather than standard general relativity. The main characteristics of the resulting traversable wormholes remain the same as in the seminal study by…

General Relativity and Quantum Cosmology · Physics 2016-05-26 Gabriele U. Varieschi , Kellie L. Ault
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