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We show that it is possible to embed the 1+1 dimensional reduction of certain spherically symmetric black hole spacetimes into 2+1 Minkowski space. The spacetimes of interest (Schwarzschild de-Sitter, Schwarzschild anti de-Sitter, and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 John T. Giblin , Donald Marolf , Robert H. Garvey

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

The general formulas of a non-rotating dynamic thin shell that connects two arbitrary cylindrical regions are given using Israel's method. As an application of them, the dynamics of a thin shell made of counter-rotating dust particles,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. R. C. T. Pereira , Anzhong Wang

We show a uniqueness result for the n-dimensional spatial Reissner-Nordstr\"om manifold: a static, electrovacuum, asymptotically flat system which is asymptotically Reissner-Nordstr\"om is a subextremal Reissner-Nordstr\"om manifold with…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Sophia Jahns

The thin-shell wormhole created using the Darmois-Israel formalism applied to Robinson-Trautman family of spacetimes is presented. The stress energy tensor created on the throat is interpreted in terms of two dust streams and it is shown…

General Relativity and Quantum Cosmology · Physics 2018-03-05 O. Svitek , T. Tahamtan

We study isometric embeddings of non-extremal Reissner-Nordstr\"om metric describing a charged black hole. We obtain three new embeddings in the flat ambient space with minimal possible dimension. These embeddings are global, i.e.…

General Relativity and Quantum Cosmology · Physics 2018-12-27 S. A. Paston , A. A. Sheykin

We study the structure and stability of traversable wormholes built as (spherically symmetric) thin shells in the context of Palatini $f(\mathcal{R})$ gravity. Using a suitable junction formalism for these theories we find that the…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Francisco S. N. Lobo , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia , Azmat Rustam

We analyse spherically symmetric spacetimes obtained by gluing a cosmological region to a Schwarzschild black hole across a singular co-dimension one hypersurface. Assuming an arbitrary homogeneous and isotropic cosmology, and working in…

High Energy Physics - Theory · Physics 2026-03-03 Abhisek Sahu

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

In this article we study spherical thin-shell wormholes in five-dimensional Einstein-Gauss-Bonnet gravity. We show that configurations supported by non-exotic matter, that is matter satisfying the weak energy condition, are possible at the…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Ernesto F. Eiroa , Emilio Rubín de Celis , Claudio Simeone

We construct a four-dimensional spacetime using a three-dimensional contact manifold equipped with a degenerate metric. The degenerate metric is set to be compatible with the contact structure. The compatibility condition is defined in this…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Hiroshi Kozaki , Hideki Ishihara , Tatsuhiko Koike , Yoshiyuki Morisawa

The generalized Darmois--Israel formalism for Einstein--Gauss--Bonnet theory is applied to construct thin-shell Lorentzian wormholes with spherical symmetry. We calculate the energy localized on the shell, and we find that for certain…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Martin Richarte , Claudio Simeone

An exact solution for the field of a charge in a uniformly accelerated noninertial frame of reference (NFR) alongside the "Equivalent Situation Postulate" allows one to find space-time structure as well as fields from arbitrarily shaped…

General Physics · Physics 2009-11-20 S. A. Podosenov

We start from a static, spherically symmetric space-time in the presence of an electrostatic field and construct the mini-superspace Lagrangian that reproduces the well known Reissner - Nordstr\"om solution. We identify the classical…

General Relativity and Quantum Cosmology · Physics 2017-05-03 N. Dimakis , A. Karagiorgos , T. Pailas , Petros A. Terzis , T. Christodoulakis

It is proved that all thin-shell wormholes built from two identical regions of vacuum static, spherically symmetric space-times have a negative shell surface energy density in any scalar-tensor theory of gravity with a non-ghost massless…

General Relativity and Quantum Cosmology · Physics 2009-07-22 Kirill A. Bronnikov , Alexei A. Starobinsky

This paper investigates the polytropic matter shell collapse in the non-commutative Reissner-Nordstr$\ddot{o}$m geometry. Using the Israel criteria, equation of motion for the polytropic matter shell is derived. In order to explore the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 M. Sharif , G. Abbas

We obtain rotating solutions of regular black holes which are constructed of de Sitter spacetime with the axisymmetric stationary perturbation within the timelike charged thin shell and the Kerr-Newman geometry with sufficiently small…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Nami Uchikata , Shijun Yoshida

Spacetime wormholes in isotropic spacetimes are represented traditionally by embedding diagrams which were symmetric paraboloids. This mirror symmetry, however, can be broken by considering different sources on different sides of the…

General Relativity and Quantum Cosmology · Physics 2018-06-15 S. Danial Forghani , S. Habib Mazharimousavi , M. Halilsoy

We consider a spherical thick shell immersed in two different spherically symmetric space-times. Using the fact that the boundaries of the thick shell with two embedding space-times must be nonsingular hypersurfaces, we develop a scheme to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Samad Khakshournia , Reza Mansouri

We construct a one-parameter family of static and spherically symmetric solutions to the Einstein-Vlasov system bifurcating from the Schwarzschild spacetime. The constructed solutions have the property that the spatial support of the matter…

Analysis of PDEs · Mathematics 2020-01-24 Fatima Ezzahra Jabiri