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We apply duality rotations and complex transformations to the Schwarzschild metric to obtain wormhole geometries with two asymptotically flat regions connected by a throat. In the simplest case these are the well-known wormholes supported…

High Energy Physics - Theory · Physics 2016-08-03 Gary W. Gibbons , Mikhail S. Volkov

Spacetime wormholes are evidently an essential component of the construction of a time machine. Within the context of general relativity, such objects require, for their formation, exotic matter -- matter that violates at least one of the…

General Relativity and Quantum Cosmology · Physics 2024-06-13 Mengqi Lu , Jiayue Yang , Robert B. Mann

We study the problem of existence of static spherically symmetric wormholes supported by the kink-like configuration of a scalar field. With this aim we consider a self-consistent, real, nonlinear, nonminimally coupled scalar field $\phi$…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. V. Sushkov , S. -W. Kim

Regular and black-hole solutions of the spontaneously broken Einstein-Yang-Mills-Higgs theory with nonminimal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and differences with respect to…

High Energy Physics - Theory · Physics 2010-11-19 J. J. van der Bij , Eugen Radu

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

In a recent paper [arXiv:0910.1109], a wormhole range in the Jordan frame, -3/2<{\omega}<-4/3 for the vacuum Brans-Dicke Class I solution was derived. On general grounds and under certain conditions, it is shown in a theorem that static…

General Relativity and Quantum Cosmology · Physics 2010-06-29 Ramil Izmailov , Amrita Bhattacharya , Kamal K. Nandi

The class of spherically-symmetric thin-shell wormholes provides a particularly elegant collection of exemplars for the study of traversable Lorentzian wormholes. In the present paper we consider linearized (spherically symmetric)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson , Matt Visser

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

We formulate the traversability of wormhole throats as a local and covariant null defocusing condition derived from the Raychaudhuri equation. Since unimodular gravity preserves the local geometric structure of spacetime, the null focusing…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Erick Pastén , Marco Bosquez , Norman Cruz

We consider Lorentzian wormholes supported by a phantom field and threaded by non-trivial Yang-Mills fields, which may be regarded as hair on the Ellis wormhole. Like the Bartnik-McKinnon solutions and their associated hairy black holes,…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Olga Hauser , Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz

Traversable Wormhole are amazing astrophysical objects predicted by General Relativity which are able to connect remote region of space-time. Even if their existence has not been proved yet they are object of continuous investigation. From…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Remo Garattini

Traversable wormhole are primarily useful as "gedanken-experiments" and as a theoretician's probe of the foundations of general relativity. In this work, we analyse the possibility of having tunnels in a hyperbolic spacetime. We obtain…

General Relativity and Quantum Cosmology · Physics 2010-09-02 Francisco S. N. Lobo , José P. Mimoso

We investigate a new type of Schwarzschild wormhole, which relies on a 3-dimensional spacetime defect with degenerate metrics. This particular wormhole is a solution of the vacuum Einstein equations. We also study the generalized…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Zi-Liang Wang

We propose a Lorentzian wormhole geometry characterized by a closed string massless sector with nontrivial $H$-flux and a scalar dilaton. In the string frame, the dilaton exhibits a negative kinetic term, enabling the existence of the…

High Energy Physics - Theory · Physics 2025-09-03 Hun Jang , Minkyoo Kim , Hocheol Lee , Jeong-Hyuck Park

The massless conformally coupled scalar field is characterized by the so-called "new improved stress-energy tensor", which is capable of classically violating the null energy condition. When coupled to Einstein gravity we find a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Barcelo , Matt Visser

Recently, traversable wormhole geometries were constructed in the context of f(R) gravity. The latter is equivalent to a Brans-Dicke theory with a coupling parameter w=0, which is apparently excluded from the narrow interval, -3/2<w<-4/3,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Francisco S. N. Lobo , Miguel A. Oliveira

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

We investigate the waveforms and quasi-normal modes around Schwarzschild traversable wormholes under different field perturbations, including the scalar field, the electromagnetic (vector) field, and the axial gravitational (tensor) field…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Hao Yang , Zhong-Wu Xia , Yan-Gang Miao

We construct charged wormhole solutions with an even number of asymptotically flat regions in the four-dimensional Einstein-Maxwell-massless phantom scalar system via the Harrison transformation. The solutions are characterized by five…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Yusuke Makita , Keisuke Izumi , Daisuke Yoshida

The ghost-free bi-metric gravity theory is a viable theory of gravity that explores the interaction between a massless and a massive graviton and can be described in terms of two dynamical metrics. In this paper, we present an exact static,…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Mostafizur Rahman , Anjan A Sen , Sunil Singh Bohra
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