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The geometrical description of a Hilbert space asociated with a quantum system considers a Hermitian tensor to describe the scalar inner product of vectors which are now described by vector fields. The real part of this tensor represents a…

Mathematical Physics · Physics 2010-10-12 P. Aniello , J. Clemente-Gallardo , G. Marmo , G. F. Volkert

We recently introduced a notion of tilings of geometric realizations of finite relative simplicial complexes and related those tilings to the discrete Morse theory of R. Forman, especially when they have the property of being shellable, a…

Algebraic Topology · Mathematics 2021-11-30 Jean-Yves Welschinger

In this paper new exact solutions in eight dimensional Lovelock theory will be presented. These solutions are vacuum static wormhole, black hole and generalized Bertotti-Robinson space-times with nontrivial torsion. All the solutions have a…

High Energy Physics - Theory · Physics 2008-11-26 Fabrizio Canfora , Alex Giacomini

Fractons and other subdimensional particles are an exotic class of emergent quasi-particle excitations with severely restricted mobility. A wide class of models featuring these quasi-particles have a natural description in the language of…

Strongly Correlated Electrons · Physics 2019-08-21 Kevin Slagle , Abhinav Prem , Michael Pretko

Recent papers by Fewster and Roman have emphasized that wormholes supported by arbitrarily small amounts of exotic matter will have to be incredibly fine-tuned if they are to be traversable. This paper discusses a wormhole model that…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter K. F. Kuhfittig

Recently, spherically symmetric, static wormholes supported by exotic dust and a radial magnetic field have been derived and argued to be stable with respect to linear radial fluctuations. In this report we point out that these wormholes…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Olivier Sarbach , Thomas Zannias

Cloaking devices are prescriptions of electrostatic, optical or electromagnetic parameter fields (conductivity $\sigma(x)$, index of refraction $n(x)$, or electric permittivity $\epsilon(x)$ and magnetic permeability $\mu(x)$) which are…

Analysis of PDEs · Mathematics 2009-11-13 Allan Greenleaf , Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

Models of static wormholes are investigated in the framework of $f(\textit{R}, \textit{T})$ gravity ($\textit{R}$ being the curvature scalar, and $\textit{T}$ the trace of the energy momentum tensor). An attempt to link the energy density…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Emilio Elizalde , Martiros Khurshudyan

In this paper, we explore wormhole solutions in a higher-derivative theory of gravity where the action depends not only on the Ricci scalar \(R\), but also on its d'Alembertian, \(\Box R\). Such \(f(R,\Box R)\) models are motivated by…

General Relativity and Quantum Cosmology · Physics 2026-05-19 M Daniel Ranjan , Soumya Chakrabarti , Sanjit Das

There are described hierarchies of equations coupling a metric with a trace-free tensor having prescribed symmetries and in the kernel of certain generalized gradients. These specialize, when the tensor vanishes identically, to the usual…

Differential Geometry · Mathematics 2025-02-12 Daniel J. F. Fox

In this article, we construct a broad family of spacetimes with spherically symmetric thin shells in unimodular gravity. We present the framework for the analysis of the dynamical stability of the configurations under perturbations…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Gabriel R. Bengochea , Ernesto F. Eiroa , Griselda Figueroa-Aguirre

We study five dimensional thin-shell wormholes in Einstein-Maxwell theory with a Gauss-Bonnet term. The linearized stability under radial perturbations and the amount of exotic matter are analyzed as a function of the parameters of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marc Thibeault , Claudio Simeone , Ernesto F. Eiroa

Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a {\it non-static} conformal symmetry, which presents a more systematic approach in searching for exact wormhole solutions.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

Can the observation of the "shadow" allow us to distinguish a black hole from a more exotic compact object? We study the motion of photons in a class of vacuum static axially-symmetric space-times that is continuously linked to the…

General Relativity and Quantum Cosmology · Physics 2019-07-12 Askar B. Abdikamalov , Ahmadjon A. Abdujabbarov , Dimitry Ayzenberg , Daniele Malafarina , Cosimo Bambi , Bobomurat Ahmedov

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

Wormholes are hypothetical tunnels that connect remote parts of spacetime. In General Relativity, wormholes are threaded by exotic matter that violates the energy conditions. In this work, we consider wormholes threaded by nonexotic matter…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Rui-Hui Lin , Zhen-Yuan Wu , Xiang-Hua Zhai

In this paper, we introduce higher dimensional thin-shell wormholes in pure Gauss-Bonnet gravity. The focus is on thin-shell wormholes constructed by $N\geq5$-dimensional spherically symmetric vacuum solutions. The results suggest that,…

General Relativity and Quantum Cosmology · Physics 2020-11-25 S. Danial Forghani , S. Habib Mazharimousavi

We study electromagnetic and gravitational properties of AdS black shells (also referred to as AdS black bubbles) -- a class of quantum gravity motivated black hole mimickers, that in the classical limit are described as ultra compact…

General Relativity and Quantum Cosmology · Physics 2025-01-06 Suvendu Giri , Ulf Danielsson , Luis Lehner , Frans Pretorius

In a recent paper, one of us studied spherically symmetric, asymptotically flat solutions of Shape Dynamics, finding that the spatial metric has characteristics of a wormhole - two asymptotically flat ends and a minimal-area sphere, or…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Flavio Mercati , Henrique Gomes , Tim Koslowski , Andrea Napoletano

A central problem of geometry is the tiling of space with simple structures. The classical solutions, such as triangles, squares, and hexagons in the plane and cubes and other polyhedra in three-dimensional space are built with sharp…

Applied Physics · Physics 2025-04-09 Gábor Domokos , Alain Goriely , Ákos G. Horváth , Krisztina Regős
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