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It is proved that no wormholes can be formed in viable scalar-tensor models of dark energy admitting its phantom-like ($w < -1$) behaviour in cosmology, even in the presence of electric or magnetic fields, if the non-minimal coupling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill A. Bronnikov , Alexei A. Starobinsky

All the magnetically charged ultrastatic and spherically symmetric spacetime solutions in the framework of linear/nonlinear electrodynamics, with an arbitrary electromagnetic Lagrangian density $\mathcal{L}(\mathcal{F})$ depending only of…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Pedro Cañate

In this paper we study traversable wormholes in the context of $f(R)$ gravity. Exact solutions of traversable wormholes are found by imposing the nonconstant Ricci scalar. These solutions asymptotically match spherical, flat and hyperbolic…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Hanif Golchin , Mohammad Reza Mehdizadeh

We consider the properties of a static axially symmetric wormhole described by an exact solution of Einstein's field equations and investigate how we can distinguish such a hypothetical object from a black hole. To this aim, we explore the…

General Relativity and Quantum Cosmology · Physics 2021-09-09 Bakhtiyor Narzilloev , Daniele Malafarina , Ahmadjon Abdujabbarov , Bobomurat Ahmedo , Cosimo Bambi

Wormholes are non-trivial topological structures that arise as exact solutions to Einstein's field equations, theoretically connecting distinct regions of spacetime via a throat-like geometry. While static traversable wormholes necessarily…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Mahdi Kord Zangeneh , Francisco S. N. Lobo

The newly discovered Wormhole C--metric is a solution of Einstein's field equation coupled with a phantom scalar field which describes the accelerated wormholes. In the zero acceleration limit the solution reduces to an asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Soham Chatterjee , Sagnik Roy , Ratna Koley

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

In 6D general relativity with a scalar field as a source of gravity, a new type of static wormhole solutions is presented: such wormholes connect our universe with a small 2D extra subspace with a universe where this extra subspace is…

General Relativity and Quantum Cosmology · Physics 2016-12-07 K. A. Bronnikov , M. V. Skvortsova

We analyze analytically and numerically the origin of the singularity in the course of the collapse of a wormhole with the exotic scalar field Psi with negative energy density, and with this field Psi together with the ordered magnetic…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Elena I. Novikova , Igor D. Novikov

In this paper, we analyze static traversable wormholes via Noether symmetry technique in modified Gauss-Bonnet $f(\mathcal{G})$ theory of gravity (where $\mathcal{G}$ represents Gauss-Bonnet term). We assume isotropic matter configuration…

General Relativity and Quantum Cosmology · Physics 2020-09-03 M. Sharif , Iqra Nawazish , Shahid Hussain

We show a uniqueness theorem for charged rotating black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and spherical topology of…

High Energy Physics - Theory · Physics 2010-12-24 Shinya Tomizawa

Local solutions are a vivid and long-living topic in gravitational physics. We consider exact static pseudo-spherically symmetric solutions of semi-classical Einstein's equations in presence of the trace anomaly contribution. We investigate…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Marco Calzá , Alessandro Casalino , Lorenzo Sebastiani

We prove the uniqueness theorem for self-gravitating non-linear sigma-models in higher dimensional spacetime. Applying the positive mass theorem we show that Schwarzschild-Tagherlini spacetime is the only maximally extended, static…

High Energy Physics - Theory · Physics 2009-11-07 Marek Rogatko

The Einstein-Maxwell-Klein-Gordon Lagrangian is supplemented by a non-minimal coupling of the real scalar field to the Gauss-Bonnet invariant. The non minimal coupling function is chosen as a general second degree polynomial in the scalar…

General Relativity and Quantum Cosmology · Physics 2020-04-28 Y. Brihaye , J. Renaux

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

Charged Dirac fields minimally coupled to gravity have spherically symmetric wormhole solutions known as Einstein-Dirac-Maxwell (EDM) wormholes. EDM wormholes do not make use of exotic matter and exist in asymptotically flat general…

General Relativity and Quantum Cosmology · Physics 2023-10-11 Ben Kain

It has been proven that in standard Einstein gravity, exotic matter is required to stabilize traversable wormholes. Quantum field theory permits these violations due to the quantum coherent effects found in any quantum field. Even…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Ramesh Radhakrishnan , Patrick Brown , Jacob Mutulevich , Eric Davis , Delaram Mirfendereski , Gerald Cleaver

In this paper, we present the spherically symmetric wormhole in Einstein's gravity coupling phantom field and nonlinear electromagnetic field. Numerical results show that this solution violates the Null Energy Condition (NEC), and as the…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Xin Su , Chen-Hao Hao , Yong-Qiang Wang

We seek wormholes among rotating cylindrically symmetric configurations in general relativity. Exact wormhole solutions are presented with such sources of gravity as a massless scalar field, a cosmological constant, and a scalar field with…

General Relativity and Quantum Cosmology · Physics 2016-03-30 K. A. Bronnikov , V. G. Krechet

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