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We investigate the radial perturbations of Ellis-Bronnikov wormholes ($\mathrm{l}=0$) in a slowly rotating background expanded up to second order in rotation. We find indications that simple wormhole solutions such as Ellis-Bronnikov in…

General Relativity and Quantum Cosmology · Physics 2023-11-27 Bahareh Azad , Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Jutta Kunz

Rastall's theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except in a very special case. When a canonical scalar field is…

General Relativity and Quantum Cosmology · Physics 2017-03-03 K. A. Bronnikov , J. C. Fabris , O. F. Piattella , E. C. Santos

In this paper, we investigate the simplest wormhole solution - the Ellis-Bronnikov one - in the context of the Asymptotically Safe Gravity (ASG) at the Planck scale. We work with three models, which employ Ricci scalar, Kretschmann scalar,…

General Relativity and Quantum Cosmology · Physics 2021-07-06 G. Alencar , V. B. Bezerra , C. R. Muniz , H. S. Vieira

In this paper, we analyse the global structure of the Bronnikov wormhole, which is the most general spherically-symmetric and static solution in Einstein gravity coupled to a free massless phantom scalar. We then introduce a scalar…

General Relativity and Quantum Cosmology · Physics 2020-10-02 Hyat Huang , Hong Lü , Jinbo Yang

In this work, we analyze some matter sources associated with wormhole models within a k-essence theory coupled to the gravitational sector through a phantom scalar field. We adopt a spherically symmetric background in (3+1) dimensions and…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Marcos V. de S. Silva , Carlos F. S. Pereira , Bruna Bragato , Manuel E. Rodrigues , Júlio C. Fabris , H. Belich

We consider slowly rotating Ellis-Bronnikov wormholes and investigate their radial perturbations ($\mathrm{l}=0$), expanding up to second order in rotation. We present the detailed derivations in the general case, including symmetric and…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Bahareh Azad , Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Jutta Kunz

We consider the wormhole of Ellis, Bronnikov, Morris and Thorne (EBMT), arising from Einstein's equations in presence of a phantom scalar field. In this paper we propose a simplified derivation of the linear instability of this system,…

General Relativity and Quantum Cosmology · Physics 2019-01-23 Francesco Cremona , Francesca Pirotta , Livio Pizzocchero

There are some gravitational theories in which the ordinary energy-momentum conservation law is not valid in the curved spacetime. Rastall gravity is one of the known theories in this regard which includes a non-minimal coupling between…

General Relativity and Quantum Cosmology · Physics 2018-04-17 H. Moradpour , N. Sadeghnezhad , S. H. Hendi

Phantom scalar fields, as a viable candidate for dark energy, have been instrumental in eliminating spacetime singularities and constructing wormholes and regular black holes. We investigate the Einstein-Maxwell-phantom (EMP) framework, in…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Guan-Yu Wu , Si-Yu Wang , Yan-Gang Miao

We study the stability of static, spherically symmetric, traversable wormholes with or without an electric charge, existing due to conformal continuations in a class of scalar-tensor theories with zero scalar field potential (so that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. V. Grinyok

This paper investigates a particular type of wormhole. The wormhole solutions studied are obtained by sewing together two static, spherically symmetric, charged black-hole metrics at their horizons. The charged wormholes are in a background…

General Relativity and Quantum Cosmology · Physics 2016-02-08 Paul H. Cox , Benjamin C. Harms , Shaoqi Hou

Static, spherically symmetric, traversable wormholes, induced by massless, nonminimally coupled scalar fields in general relativity, are shown to be unstable under spherically symmetric perturbations. The instability is related to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. Grinyok

We analyze possibilities to obtain a globally regular stationary generalization for the ultrastatic wormhole with a repulsive scalar field found by Bronnikov and by Ellis in 1973. The extreme simplicity of this static solution suggests that…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Mikhail S. Volkov

Static, spherically symmetric, traversable wormhole solutions with electric or magnetic charges are shown to exist in general relativity in the presence of scalar fields nonminimally coupled to gravity. These wormholes, however, turn out to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , S. Grinyok

We investigate the stability of the wormhole of the Mors-Thorne-Ellis-Bronnikov type. In our model the matter inside it consists of a radial magnetic field and an ideal phantom-fluid. Properties of the matter are described in section 1, 2…

General Relativity and Quantum Cosmology · Physics 2012-04-10 Igor Novikov , Alexander Shatskiy

We review recent works on the possibility for eternal existence of thin-shell wormholes on Einstein and Einstein-Gauss-Bonnet gravity. We introduce thin-shell wormholes that are categorized into a class of traversable wormhole solutions.…

General Relativity and Quantum Cosmology · Physics 2020-11-02 Takafumi Kokubu , Tomohiro Harada

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

Ellis-Bronnikov wormholes suffer from an unstable radial mode. Here we investigate the evolution of the unstable mode(s) for charged wormholes. We show that the instability remains in the presence of charge, but exhibits a very fast…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Jose Luis Blázquez-Salcedo , Luis Manuel González-Romero , Fech Scen Khoo , Jutta Kunz , Pablo Navarro Moreno

The stability of one type of the static Ellis-Bronnikov-Morris-Thorne wormholes is considered. These wormholes filled with radial magnetic field and phantom dust with a negative energy density.

General Relativity and Quantum Cosmology · Physics 2010-11-11 D. I. Novikov , A. G. Doroshkevich , I. D. Novikov , A. A. Shatskiy

Recently, there has been quite a lot of interest in static, spherical wormhole spacetimes and the question of their stability with respect to time-dependent perturbations. The consideration of linearized perturbations usually leads to a…

General Relativity and Quantum Cosmology · Physics 2020-06-10 Francesco Cremona , Livio Pizzocchero , Olivier Sarbach
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