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Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a {\it non-static} conformal symmetry, which presents a more systematic approach in searching for exact wormhole solutions.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Tiberiu Harko , 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

We describe a simple technique for generating solutions to the classical field equations for an arbitrary nonlinear sigma-model minimally coupled to gravity. The technique promotes an arbitrary solution to the coupled Einstein/Klein-Gordon…

High Energy Physics - Theory · Physics 2023-08-24 Philippe Brax , C. P. Burgess , F. Quevedo

Einstein gravity minimally coupled to a self-interacting scalar field is investigated in the static and isotropic situation. We explicitly construct in partially closed form a new black-hole solution with exponentially decaying scalar hair.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Olaf Bechmann , Olaf Lechtenfeld

By using the method of group analysis, we obtain a new exact evolving and spherically symmetric solution of the Einstein-Cartan equations of motion, corresponding to a space-time threaded with a three-form Kalb-Ramond field strength. The…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Filemon Farfan , Ricardo Garcia-Salcedo , Oscar Loaiza-Brito , Claudia Moreno , Alexander Yakhno

In this paper we propose a class of exact solutions (stationary and non-stationary) of Einstein's field equations. The energy-momentum tensors of the solutions describe dark energy.

General Relativity and Quantum Cosmology · Physics 2011-09-12 Ng. Ibohal , Ngangbam Ishwarchandra , K. Yugindro Singh

We formulate a one-parameter extension of Weyl transformations in first-order gravity and show that it defines a conformally coupled scalar sector with dynamical torsion. The construction reduces to the standard torsionless conformal…

High Energy Physics - Theory · Physics 2026-05-27 Luis Avilés , Omar Valdivia , Rodolfo Véliz , Carlos Vera

We consider static spherically symmetric solutions in the scalar-tensor theory of gravity with a scalar field possessing the nonminimal kinetic coupling to the curvature. The lagrangian of the theory contains the term $(\varepsilon…

General Relativity and Quantum Cosmology · Physics 2015-06-22 R. V. Korolev , Sergey V. Sushkov

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 analogy with the standard derivation of the Schwarzschild solution, we find all static, cylindrically symmetric solutions of the Einstein field equations for vacuum. These include not only the well known cone solution, which is locally…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Cynthia S. Trendafilova , Stephen A. Fulling

We study the scattering of low-energy massless and massive minimally coupled scalar fields by an asymptotically flat traversable wormhole. We provide a comprehensive treatment of this problem offering analytic expressions for the…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Bahareh Azad , Farhang Loran , Ali Mostafazadeh

We revisit the static spherically symmetric solutions of Einstein's General Relativity with a conformally coupled scalar field in arbitrary dimensions. Using a four rank tensor introduced earlier we recast the field equations in a…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Sourya Ray

We obtain a large class of Lorentzian wormhole spacetimes in scalar-tensor gravity, for which the matter stress energy does satisfy the weak energy condition. Our constructions have zero Ricci scalar and an everywhere finite, non-zero…

General Relativity and Quantum Cosmology · Physics 2016-07-12 Rajibul Shaikh , Sayan Kar

This paper investigates the massive gauge field within spacetime context from a $\mathbb{Z}_2$ quotient of the constant curvature black hole. We investigate how the matter field's back reaction affects the spacetime geometry, considering…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Ankit Anand , Ruben Campos Delgado , Daris Samart

A general class of solutions is obtained which describe a spherically symmetric wormhole system. The presence of arbitrary functions allows one to describe infinitely many wormhole systems of this type. The source of the stress-energy…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. DeBenedictis , A. Das

The static antiscalar solution of the Einstein-Klein-Gordon equations in the form of the Papapetrou exponential metric had been interpreted as a traversable wormhole with a throat at \textit{r=M}. We aim to search for the effects which…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Eduard Mychelkin , Gulnara Suliyeva , Maxim Makukov

In this article, we have found a series solution of 3D Einstein equations describing a wormhole for an inhomogeneous distribution of phantom energy. Here, we assume equation of state is linear but highly anistropic.

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Rahaman , M. Kalam , B. C. Bhui , S. Chakraborty

On this paper we consider the classical wormhole solution of the Born-Infeld scalar field. The corresponding classical wormhole solution can be obtained analytically for both very small and large $\dot{\phi}$. At the extreme limits of small…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Q. Lu , L. M. Shen , P. Ji , G. F. Ji , N. J. Sun

In this work, we propose a model of Einstein--Gauss-Bonnet gravity coupled with two scalar fields. The two scalar fields are considered to be ``frozen'' or they become non-dynamical by employing appropriate constraints in terms of Lagrange…

General Relativity and Quantum Cosmology · Physics 2023-12-06 E. Elizalde , Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

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