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We generalize Israel's formalism to cover singular shells embedded in a non-vacuum Universe. That is, we deduce the relativistic equation of motion for a thin shell embedded in a Schwarzschild/Friedmann-Lemaitre-Robertson-Walker spacetime.…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Oyvind Gron , Peter D. Rippis

In this article we present a theoretical construction of spacetimes with a thin shell that joins two different local cosmic string geometries. We study two types of global manifolds, one representing spacetimes with a thin shell surrounding…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Ernesto F. Eiroa , Emilio Rubin de Celis , Claudio Simeone

We study wormhole geometries embedded in an expanding universe within a four-scalar non-linear $\sigma$ model, where the target-space metric is identified with the spacetime Ricci tensor. In this framework, wormholes can remain stable even…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Taishi Katsuragawa , Shin'ichi Nojiri , Sergei D. Odintsov

We analytically explore the effect of falling matter on a spherically symmetric wormhole supported by a spherical shell composed of exotic matter located at its throat. The falling matter is assumed to be also a thin spherical shell…

General Relativity and Quantum Cosmology · Physics 2013-08-28 Ken-ichi Nakao , Tatsuya Uno , Shunichiro Kinoshita

Based on the recently introduced black-bounce spacetimes, we shall consider the construction of the related spherically symmetric thin-shell traversable wormholes within the context of standard general relativity. All of the really unusual…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Francisco S. N. Lobo , Alex Simpson , Matt Visser

In this article, we study thin shells of matter connecting charged black string geometries with different values of the corresponding parameters. We analyze the matter content and the mechanical stability of the shells undergoing…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Ernesto F. Eiroa , Emilio Rubin de Celis , Claudio Simeone

Abstract This short paper investigates the harmonic behavior of a general-relativistic thin-shell wormhole supported by a particular type of exotic fluid. The exotic fluid obeys a never-studied-before metric-dependent equation of state.…

General Relativity and Quantum Cosmology · Physics 2022-12-27 S. Danial Forghani

We construct the classification scheme for all possible evolution scenarios and find the corresponding global geometries for dynamics of a thin spherical vacuum shell in the Schwarzschild-de Sitter metric. This configuration is suitable for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. V. Chernov , V. I. Dokuchaev

Wormholes are non-trivial topological structures that arise as exact solutions to Einstein's field equations, theoretically connecting distinct regions of spacetime via a throat-like geometry. While static traversable wormholes necessarily…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Mahdi Kord Zangeneh , Francisco S. N. Lobo

We address the problem of stitching together the vacuum, static, planar-symmetric Taub spacetime and the flat Friedmann-Robertson-Walker cosmology using the Israel thin-shell formalism. The joining of Taub and FRW spacetimes is reminiscent…

General Relativity and Quantum Cosmology · Physics 2015-09-29 Jan Tristram Acuña , Jose Perico Esguerra

Spherically symmetric thin-shell wormholes are studied within the framework of Einstein-Born-Infeld theory. We analyze the exotic matter content and find that for certain values of the Born-Infeld parameter the amount of exotic matter on…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Martin G. Richarte , Claudio Simeone

Applying the Darmois-Israel thin shell formalism, we construct static and dynamic thin shells around traversable wormholes. Firstly, by applying the cut-and-paste technique we apply a linearized stability analysis to thin-shell wormholes in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Francisco S. N. Lobo

We introduce two classes of spherically symmetric spacetimes having a thin shell of matter, in non-quadratic F(R) theories of gravity with non-constant scalar curvature R. In the first, the thin shell joins an inner region with an outer…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Ernesto F. Eiroa , Griselda Figueroa-Aguirre

We explore the implications of hidden symmetries present in a particular quantum cosmological setting, extending the results reported in \cite{10,11}. In more detail, our case study is constituted by a spatially closed…

General Relativity and Quantum Cosmology · Physics 2015-08-06 T. Rostami , S. Jalalzadeh , P. V. Moniz

The method of an effective potential is used to investigate the possible types of evolution of vacuum shells in the Friedman-Schwarzschild world. Such shells are assumed to emerge during phase transitions in the early Universe. The possible…

General Relativity and Quantum Cosmology · Physics 2009-11-13 V. I. Dokuchaev , S. V. Chernov

In this work, we employ the Darmois-Israel thin-shell formalism to construct both static and dynamic thin-shell configurations surrounding traversable wormholes. Initially, using the cut-and-paste technique, we perform a linearized…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Francisco S. N. Lobo

In this paper we consider singular timelike spherical hypersurfaces embedded in a $D$-dimensional spherically symmetric bulk spacetime which is an electrovacuum solution of Einstein equations with cosmological constant. We analyse the…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Marcos A. Ramirez , Daniel Aparicio

The class of spherically-symmetric thin-shell wormholes provides a particularly elegant collection of exemplars for the study of traversable Lorentzian wormholes. In the present paper we consider linearized (spherically symmetric)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson , Matt Visser

Quantization is performed of a Friedmann-Robertson-Walker universe filled with a conformally invariant scalar field and a perfect fluid with equation of state $p=\alpha \rho$. A well-known discrete set of static quantum wormholes is shown…

General Relativity and Quantum Cosmology · Physics 2015-06-25 N. A. Lemos , G. A. Monerat

We revisit the regular black hole found by Hayward in $4-$dimensional static, spherically symmetric spacetime. To find a possible source for such a spacetime we resort to the non-linear electrodynamics in general relativity. It is found…

General Relativity and Quantum Cosmology · Physics 2014-03-17 M. Halilsoy , A. Ovgun , S. Habib Mazharimousavi
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