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The geometry of three-dimensional space guides the search for a better model than the blackhole with its unwelcome singularity. An elementary construction produces on the 4-manifold of 2-spheres in a Riemannian 3-space a space-time metric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

We study metric-compatible Poisson structures in the semi-classical limit of noncommutative emergent gravity. Space-time is realized as quantized symplectic submanifold embedded in R^D, whose effective metric depends on the embedding as…

Mathematical Physics · Physics 2014-09-11 Nikolaj Kuntner , Harold Steinacker

Using a generalized Weyl formalism, we show how stationary, axisymmetric solutions of the four-dimensional vacuum Einstein equation can be turned into static, axisymmetric solutions of five-dimensional dilaton gravity coupled to a two-form…

High Energy Physics - Theory · Physics 2009-11-10 Edward Teo

We present a class of exact solutions in the framework of $2+1-$dimensional Einstein gravity coupled minimally to a doublet of scalar fields. Our solution can be interpreted upon tuning of parameters as an asymptotically flat wormhole as…

General Relativity and Quantum Cosmology · Physics 2015-07-28 S. Habib Mazharimousavi , M. Halilsoy

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

We give a detailed account of the properties of spinning Ellis wormholes, supported by a phantom field. The general set of solutions depends on three parameters, associated with the size of the throat, the rotation and the symmetry of the…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Xiao Yan Chew , Burkhard Kleihaus , Jutta Kunz

It is argued that the existence of constant dilaton field solutions is a generic feature of string-inspired dilaton gravity. Such solutins arise in the extreme limit of black hole metrics. It is shown that in a strong coupling region…

High Energy Physics - Theory · Physics 2009-10-31 O. B. Zaslavskii

In the present work, we construct models of static wormholes within the framework of 4-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity an (an)isotropic energy momentum tensor (EMT) and a Maxwell field as supporting matters for the…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Piyachat Panyasiripan , Fereshteh Felegary , Phongpichit Channuie

We construct regular multi-wormhole solutions to a gravitating $\sigma$ model in three space-time dimensions, and extend these solutions to cylindrical traversable wormholes in four and five dimensions. We then discuss the possibility of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gérard Clément

Wormhole solutions to the equations of general relativity have some spectacular local and global properties. As these unusual features are not explicitly forbidden by known physics, wormholes are considered in various astrophysical and…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Daniel R. Terno

We study solutions obtained via applying dualities and complexifications to the vacuum Weyl metrics generated by massive rods and by point masses. Rescaling them and extending to complex parameter values yields axially symmetric vacuum…

High Energy Physics - Theory · Physics 2017-05-31 Gary W. Gibbons , Mikhail S. Volkov

In this article, using gravitational decoupling by means of minimal geometric deformation approach, we obtain a new spherically symmetric and static black hole solution. To progress, we close the system by assuming that the average pressure…

General Relativity and Quantum Cosmology · Physics 2023-08-25 Francisco Tello-Ortiz , Ángel Rincón , A. Alvarez , Saibal Ray

We present the first analysis of traversable wormhole solutions within the framework of Einstein-aether theory. We show that the corresponding field equations admit three distinct wormhole geometries, obtained by adopting three different…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Hanif Golchin , Hamid R. Bakhtiarizadeh , Mohammad Reza Mehdizadeh

We analyze an alternative theory of gravity characterized by metrics that are tensor density of rank(0,2)and weight-1/2.The metric compatibility condition is supposed to hold. The simplest expression for the action of gravitational field is…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Amir H. Abbassi , Amir M. Abbassi

A geometrical model of electric charge is proposed. This model has ``naked'' charge screened with a ``fur - coat'' consisting of virtual wormholes. The 5D wormhole solution in the Kaluza - Klein theory is the ``naked'' charge. The splitting…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Dzhunushaliev

We study cylindrically symmetric Abelian wormholes (WhC) in $(4+n)$-dimensional Kaluza-Klein theory. It is shown that static, four-dimensional, cylindrically symmetric solutions in $(4+n)$-dimensional Kaluza-Klein theory with maximal…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Asya V. Aminova , Pavel I. Chumarov

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 present a discussion of the traversable wormholes in Einstein-Dirac-Maxwell theory recently reported in e-Print: 2010.07317. This includes a detailed description of the ansatz and junction condition, together with an investigation of the…

General Relativity and Quantum Cosmology · Physics 2022-06-16 Jose Luis Blázquez-Salcedo , Christian Knoll , E. Radu

In this paper, we explore static spherically symmetric wormhole solutions in the framework of $n$-dimensional Einstein Gauss-Bonnet gravity. Our objective is to find out wormhole solutions that satisfy energy conditions. For this purpose,…

General Physics · Physics 2016-11-02 Shamaila Rani , Abdul Jawad

In this note, I consider a class of metric tensors with smooth components that naively appear to describe dynamical wormholes with vanishing spacetime curvature. I point out that the smoothness of the metric tensor components is deceptive,…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Justin C. Feng
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