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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

The so-called generalized Ellis-Bronnikov wormhole is a modification of the standard Ellis-Bronnikov solution, in which a parameter $m>2$ is introduced-recovering the original Ellis-Bronnikov geometry when $m=2$. In this work, we…

General Relativity and Quantum Cosmology · Physics 2026-05-29 T. M. Crispim , G. Alencar , C. R. Muniz

In this work we explore the propagation of massive scalar fields on some wormhole backgrounds. On one side, we consider the Bronnikov-Ellis wormhole solution and wormhole geometries with a non-constant redshift function by introducing a…

General Relativity and Quantum Cosmology · Physics 2024-04-11 Sebastián Alfaro , P. A. González , Diego Olmos , Eleftherios Papantonopoulos , Yerko Vásquez

In this paper we study a class of wormhole solutions called generalized Ellis-Bronnikov wormholes in the context of asymptotically safe gravity (ASG). These solutions are characterized by two parameters: an even number $n$ and the wormhole…

General Relativity and Quantum Cosmology · Physics 2022-12-16 M. Nilton , J. Furtado , G. Alencar , R. R. Landim

We discuss various novel features of $n(\ge 4)$-dimensional spacetimes sourced by a massless (non-)phantom scalar field in general relativity. Assuming that the metric is a warped product of static two-dimensional Lorentzian spacetime and…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Cristian Martinez , Masato Nozawa

The geometry of the Ellis-Bronnikov wormhole is implemented in the Rastall and k-essence theories of gravity with a self-interacting scalar field. The form of the scalar field potential is determined in both cases. A stability analysis with…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Kirill A. Bronnikov , Vinícius A. G. Barcellos , Laura P. de Carvalh , Júlio C. Fabris

The ring wormhole is the zero-mass limit of the Kerr metric. Its geometry is locally flat, but the topology is nontrivial, with a throat connecting two asymptotic regions and a distributional curvature singularity on the ring encircling the…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Mikhail S. Volkov

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

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

In this work, static and spherically symmetric solutions of the general relativity coupled to linear/nonlinear electrodynamics and a dust fluid (GR-ED-DF) are studied. We demonstrate that these solutions can be categorized into two sets,…

General Relativity and Quantum Cosmology · Physics 2024-10-15 Pedro Cañate

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

The C-metric in vacuum general relativity describes a pair of accelerated black holes supported by conical singularity. In this paper, we present a new family of exact solutions to the Einstein-phantom scalar system that describes…

General Relativity and Quantum Cosmology · Physics 2023-09-20 Masato Nozawa , Takashi Torii

We consider the sEGB $4d$ gravitational model with a scalar field $\varphi\left(u\right)$, Einstein and Gauss-Bonnet terms. The model action contains a potential term $U\left(\varphi\right)$, a Gauss-Bonnet coupling function…

General Relativity and Quantum Cosmology · Physics 2025-11-18 K. K. Ernazarov

The static and spherically symmetric solutions in $n(\ge 4)$-dimensional Einstein-phantom-scalar system fall into three family: (i) the Fisher solution, (ii) the Ellis-Gibbons solution, and (iii) the Ellis-Bronnikov solution. We exploit…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Masato Nozawa

Gravitational lensing properties of supermassive astrophysical objects, such as black holes and wormholes, provide the realistic way for their discovering and investigating. Various lensing effects in a wormhole spacetime have been widely…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Valeria A. Ishkaeva , Sergey V. Sushkov

We review nonsingular static, spherically symmetric solutions of general relativity with a minimally coupled scalar field $\phi$ as a source. Considered are wormholes and regular black holes without a center, including black universes…

General Relativity and Quantum Cosmology · Physics 2018-03-16 Kirill A. Bronnikov

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

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

We consider spinning generalizations of the Ellis wormhole in scalar-tensor theory. Analogous to other compact objects these wormholes can carry a non-trivial scalarization. We determine the domain of existence of the scalarized wormholes…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Xiao Yan Chew , Burkhard Kleihaus , Jutta Kunz

The Ellis-Bronnikov solution provides a simple toy model for the study of various aspects of wormhole physics. In this work we solve the Klein-Gordon equation in this background and find an exact solution in terms of Heun's function. This…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Jose Luis Blázquez-Salcedo , Marina-Aura Dariescu , Ciprian Dariescu , Eugen Radu , Cristian Stelea
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