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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 focus on the dynamics of a massive one-form field, \textbf{B}, often referred to simply as a vector field, that is minimally coupled to standard Einstein gravity. In the framework of four-dimensional spacetimes, the theory…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Nailya Ganiyeva , Bruno J. Barros , Álvaro de la Cruz-Dombriz , Francisco S. N. Lobo

We construct cylindrical, traversable wormholes with finite radii by taking into account the cut-and-paste procedure for the case of cosmic string manifolds with a positive cosmological constant. Under reasonable assumptions about the…

General Relativity and Quantum Cosmology · Physics 2013-08-14 Martín G. Richarte

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

It is shown that in the presence of virtual wormholes, the vacuum is unstable, which leads to a series of phase transitions in the early Universe. Then the standard Kibble scenario predicts the formation of defects such as domain walls. An…

General Relativity and Quantum Cosmology · Physics 2024-02-02 A. A. Kirillov , E. P. Savelova

The problem of topology change transitions in quantum gravity is discussed. We argue that the contribution of the Giddings-Strominger wormhole to the Euclidean path integral is pure imaginary. This is checked by two techniques: by the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. A. Rubakov , O. Yu. Shvedov

We consider stationary, cylindrically symmetric configurations in general relativity and formulate necessary conditions for the existence of rotating cylindrical wormholes. It is shown that in a comoving reference frame the rotational part…

General Relativity and Quantum Cosmology · Physics 2013-09-12 Kirill A. Bronnikov , Vladimir G. Krechet , José P. S. Lemos

The current study deals with the new wormhole solutions in the background of fourth order new modified Ricci inverse gravity. Two new classes of the wormhole solutions are analyzed by showing the valid region for the main part of wormhole…

General Relativity and Quantum Cosmology · Physics 2023-12-27 G. Mustafa

Many interesting models incorporate scalar fields with non-minimal couplings to the spacetime Ricci curvature scalar. As is well known, if only one scalar field is non-minimally coupled, then one may perform a conformal transformation to a…

General Relativity and Quantum Cosmology · Physics 2010-05-12 David I. Kaiser

On the basis of exact solutions to the Einstein-Abelian gauge-dilaton equations in $D$-dimensional gravity, the properties of static axial configurations are discussed. Solutions free of curvature singularities are selected; they can be…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Kirill A. Bronnikov , Julio C. Fabris

In this work, we explore the possibility of evolving (2+1) and (3+1)-dimensional wormhole spacetimes, conformally related to the respective static geometries, within the context of nonlinear electrodynamics. For the (3+1)-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Aaron V. B. Arellano , Francisco S. N. Lobo

In this paper we review some properties for the evolving wormhole solution of Einstein equations coupled with nonlinear electrodynamics. We integrate the geodesic equations in the effective geometry obeyed by photons; we check out the weak…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Aaron V. B. Arellano , Nora Breton , Ricardo Garcia-Salcedo

We consider the possibility that wormhole geometries are sustained by their own quantum fluctuations, in the context of noncommutative geometry and Gravity's Rainbow models. More specifically, the energy density of the graviton one-loop…

General Relativity and Quantum Cosmology · Physics 2013-01-03 Remo Garattini , Francisco S. N. Lobo

The behavior of black holes horizon and wormholes under the Weyl conformal transformation is investigated. First, a shorter, but more general, derivation of the Weyl transformation of the simple prescription for detecting horizons and…

General Relativity and Quantum Cosmology · Physics 2018-06-14 Fayçal Hammad

Motivated by an analogy with the conformal factor problem in gravitational theories of the $R+R^2$-type we investigate a $d$-dimensional Euclidean field theory containing a complex scalar field with a quartic self interaction and with a…

High Energy Physics - Theory · Physics 2010-11-19 O. Lauscher , M. Reuter , C. Wetterich

We consider, in the Euclidean setting, a conformal Yamabe-type equation related to a potential generalization of the classical constant scalar curvature problem and which naturally arises in the study of Ricci solitons structures. We prove…

Differential Geometry · Mathematics 2019-11-14 Giovanni Catino , Filippo Gazzola , Paolo Mastrolia

This research delves into the potential existence of traversable wormholes (WHs) within the framework of modified, curvature based gravity. The modification includes linear perturbations of the matter Lagrangian and the trace of the…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Niklas Loewer , Moreshwar Tayde , P. K. Sahoo

We investigate the necessary conditions for the two spacetimes, which are solutions to the Einstein field equations with an anisotropic matter source, to be related to each other by means of a conformal transformation. As a result, we…

General Relativity and Quantum Cosmology · Physics 2021-06-18 Jarosław Kopiński

We study the Lorentzian static traversable wormholes coupled to quadratic scalar fields. We also obtain the solutions of the scalar fields and matters in the wormhole background and find that the minimal size of the wormhole should be…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. -W. Kim , S. P. Kim

In this work we explore the possible existence of static, spherically symmetric and stationary, axisymmetric traversable wormholes coupled to nonlinear electrodynamics. Considering static and spherically symmetric (2+1) and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Aaron V. B. Arellano , Francisco S. N. Lobo
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