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I prove that general relativity admits no asymptotically well-behaved static spherically symmetric traversable wormholes supported by classical scalar fields and nonexotic matter. The theorem holds for all values of the scalar field…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Luke M. Butcher

We consider the inhomogeneous Morris-Thorne wormhole metric with matter tensors characterised by a novel linear equation of state in $f(R)$ gravity. Using the Einstein's field equations in metric $f(R)$ gravity we model solutions for both…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Subhasis Nalui , Subhra Bhattacharya

We have found a simple exact solution of spherically-symmetrical Einstein equations describing a wormhole for an inhomogeneous distribution of the phantom energy. The equation of state is linear but highly anisotropic: while the radial…

General Relativity and Quantum Cosmology · Physics 2009-11-11 O. B. Zaslavskii

This study presents new spherically symmetric and dynamical wormhole solutions supported by ordinary matter modeled as an anisotropic fluid, exhibiting a traversable nature. To achieve this goal, we adopt different approaches to obtain both…

General Relativity and Quantum Cosmology · Physics 2025-04-29 M. Zubair , Hina Azmat , Quratulien Muneer , Saira Waheed , M. B. Cruz

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

Wormholes can be described as geometrical structures in space and time that can serve as connection between distant regions of the universe. Mathematically, general wormholes can be defined both on stationary as well as on dynamic line…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Subhra Bhattacharya , Tanwi Bandyopadhyay

The geometry of a spacetime containing a wormhole generated by a spherically symmetric electric field is investigated in detail. These solutions arise in high-energy extensions of General Relativity formulated within the Palatini approach…

High Energy Physics - Theory · Physics 2015-12-09 Gonzalo J. Olmo , D. Rubiera-Garcia , A. Sanchez-Puente

All known solutions to the Einstein equations describing rotating cylindrical wormholes lack asymptotic flatness and therefore cannot describe wormhole entrances as local objects in our Universe. To overcome this difficulty, wormhole…

General Relativity and Quantum Cosmology · Physics 2019-05-13 K. A. Bronnikov , V. G. Krechet

A phase space is built that allows to study, classify and compare easily large classes of static spherically symmetric wormholes solutions, sustained by an isotropic perfect fluid in General Relativity. We determine the possible locations…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Stephane Fay

We discuss several properties of static, spherically symmetric wormholes with particular emphasis on the behavior of causal geodesics and the propagation of linear fields. We show there always exist null geodesics which are trapped in a…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Olivier Sarbach , Thomas Zannias

We study the problem of existence of static spherically symmetric wormholes supported by the kink-like configuration of a scalar field. With this aim we consider a self-consistent, real, nonlinear, nonminimally coupled scalar field $\phi$…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. V. Sushkov , S. -W. Kim

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

It has recently been shown that traversable wormholes may be supported by phantom energy. In this work phantom wormhole geometries are modelled by matching an interior traversable wormhole solution, governed by the equation of state…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Francisco S. N. Lobo

In this work, we investigate static and spherically symmetric traversable wormhole solutions within the framework of the extended symmetric teleparallel gravity, specifically the $\mathcal{F}(Q,\mathcal{L}_{m},\mathcal{T})$ gravity theory,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Rounak Manna , Krishna Pada Das , Ujjal Debnath

A fundamental ingredient in wormhole physics is the presence of exotic matter, which involves the violation of the null energy condition. Although a plethora of wormhole solutions have been explored in the literature, it is useful to find…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Nadiezhda Montelongo Garcia , Francisco S. N. Lobo

In this paper, exact asymptotically flat wormhole solutions in the context of symmetric teleparallel gravity, i.e., $f(Q)$ theory of gravity, are investigated. Since modified theories of gravity provide new field equations, we have analyzed…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Foad Parsaei , Sara Rastgoo , P. K. Sahoo

In this paper we study static spherically symmetric wormhole solutions sustained by matter sources with isotropic pressure. We show that such spherical wormholes do not exist in the framework of zero-tidal-force wormholes. On the other…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Mauricio Cataldo , Luis Liempi , Pablo Rodríguez

A possible cause of the late-time cosmic acceleration is an exotic fluid with an equation of state lying within the phantom regime, i.e., $w=p/\rho <-1$. The latter violates the null energy condition, which is a fundamental ingredient in…

General Relativity and Quantum Cosmology · Physics 2013-04-12 Francisco S. N. Lobo , Foad Parsaei , Nematollah Riazi

In this work we show the existence of traversable wormhole and time-machine solutions in a modified theory of gravity where matter and curvature are nonminimally coupled. Those solutions present a nontrivial redshift function and exist even…

High Energy Physics - Theory · Physics 2013-10-24 Orfeu Bertolami , Ricardo Zambujal Ferreira

We present a static, spherically symmetric, traversable wormhole solution to multimetric gravity which is sustained by only non-exotic matter, i.e., matter which satisfies all energy conditions. The possibility of this solution arises from…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Manuel Hohmann
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