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We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields which describe traversable wormholes (with flat and AdS asymptotics) and regular black…

General Relativity and Quantum Cosmology · Physics 2015-03-20 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

We prove a uniqueness theorem for the charged Nariai black holes and ultracold black holes in four dimensions. In particular, we show that an analytic solution to four-dimensional Einstein-Maxwell theory with a positive cosmological…

General Relativity and Quantum Cosmology · Physics 2024-09-30 David Katona

We investigate a modified Einstein-Rosen wormhole model, made unidirectionally traversable through a bimetric geometry defined by two regular metrics, g(+) and g(-), and characterized by PT symmetry combining time reversal (t -> -t) and…

General Physics · Physics 2025-08-27 Hicham Zejli

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

Marginally outer trapped surfaces are widely considered as the best quasi-local replacements for event horizons of black holes in General Relativity. However, this equivalence is far from being proved, even in stationary and static…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alberto Carrasco , Marc Mars

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

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

We describe the different possibilities that a simple and apparently quite harmless classical scalar field theory provides to violate the energy conditions. We demonstrate that a non-minimally coupled scalar field with a positive curvature…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Carlos Barcelo , Matt Visser

In 1921 Bach and Weyl derived the method of superposition to construct new axially symmetric vacuum solutions of General Relativity. In this paper we extend the Bach-Weyl approach to non-vacuum configurations with massless scalar fields.…

General Relativity and Quantum Cosmology · Physics 2016-08-17 A. I. Egorov , P. E. Kashargin , Sergey V. Sushkov

We construct charged wormhole solutions with an even number of asymptotically flat regions in the four-dimensional Einstein-Maxwell-massless phantom scalar system via the Harrison transformation. The solutions are characterized by five…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Yusuke Makita , Keisuke Izumi , Daisuke Yoshida

It is well known that traversable wormholes are valid solutions of the Einstein field equations, but these structures can only be maintained by violating the null energy condition. In this paper, we have obtained such wormhole solutions in…

General Physics · Physics 2019-09-04 Nayan Sarkar , Susmita Sarkar , Farook Rahaman , P. K. F. Kuhfittig , G S Khadekar

Under spherical symmetry, we show that the weak cosmic censorship holds for the gravitational collapse of the Einstein-Maxwell-charged scalar field system. Namely, for this system, with generic initial data, the formed spacetime…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Xinliang An , Hong Kiat Tan

Macroscopic traversable wormhole solutions to Einstein's field equations in $(2+1)$ and $(3+1)$ dimensions with a cosmological constant are investigated. Ensuring traversability severely constrains the material used to generate the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. S. Delgaty , R. B. Mann

Static traversable wormhole solutions of the Einstein equations require ``exotic'' matter which violates the weak energy condition. The vacuum stress-energy of quantized fields has been proposed as the source for this matter. Using the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Brett E. Taylor , William A. Hiscock , Paul R. Anderson

In this article, we construct a family of spherically symmetric thin-shell wormholes within scalar-tensor theories of gravity. In the case of wormholes symmetric across the throat, we study the matter content and analyze the stability of…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Ernesto F. Eiroa , Griselda Figueroa-Aguirre , Vasiliki Karanasou

A static spherically symmetric wormhole solution for conformal gravity in vacuum is found. The solution possesses a single integration constant which determines the size of the neck connecting two static homogeneous universes of constant…

High Energy Physics - Theory · Physics 2009-07-08 Julio Oliva , David Tempo , Ricardo Troncoso

In this paper, we present an exact solution for $(3+1)$-dimensional Einstein-scalar-Gauss-Bonnet theory (EsGB) in electrovacuum. The solution is characterized by only one parameter, $Q$, which in general can be associated with the…

General Relativity and Quantum Cosmology · Physics 2019-09-11 Pedro Cañate , Joseph Sultana , Demosthenes Kazanas

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Tod

Wormholes are outstanding solutions of Einstein's General Relativity. They were worked out in the late 1980's by Morris and Thorne, who have figured out a recipe that wormholes must obey in order to be traversable, that is, safely crossed…

General Relativity and Quantum Cosmology · Physics 2023-03-29 A. S. Agrawal , B. Mishra , P. H. R. S. Moraes

We build five-dimensional spherically symmetric wormholes within the DGP theory. We calculate the energy localized on the shell, and we find that the wormholes could be supported by matter not violating the energy conditions. We also show…

General Relativity and Quantum Cosmology · Physics 2010-09-07 Martín G. Richarte