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The stability of one type of the static Ellis-Bronnikov-Morris-Thorne wormholes is considered. These wormholes filled with radial magnetic field and phantom dust with a negative energy density.

General Relativity and Quantum Cosmology · Physics 2010-11-11 D. I. Novikov , A. G. Doroshkevich , I. D. Novikov , A. A. Shatskiy

The influence of disorder and interaction on the ground state polarization of the two-dimensional (2D) correlated electron gas is studied by numerical investigations of unrestricted Hartree-Fock equations. The ferromagnetic ground state is…

Strongly Correlated Electrons · Physics 2009-11-10 M. Nita , V. Dinu , A. Aldea , B. Tanatar

Generalizing the classical Thomson problem to the quantum regime provides an ideal model to explore the underlying physics regarding electron correlations. In this work, we systematically investigate the combined effects of the geometry of…

Strongly Correlated Electrons · Physics 2018-06-22 Liu Yang , Zhenwei Yao

The correlation holes for densities of equal and opposite spin around a test electron are determined from the Schr\"{o}dinger equation with proper boundary conditions. The traditional "exchange" term follows from the boundary condition…

Condensed Matter · Physics 2007-05-23 T. Jarlborg

Gravitational lensing properties of supermassive astrophysical objects, such as black holes and wormholes, provide the realistic way for their discovering and investigating. Various lensing effects in a wormhole spacetime have been widely…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Valeria A. Ishkaeva , Sergey V. Sushkov

In this study, we investigate traversable wormholes within the framework of Einstein-Euler-Heisenberg (EEH) nonlinear electrodynamics. By employing the Einstein field equations with quantum corrections from the Euler-Heisenberg Lagrangian,…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Phongpichit Channuie , Allah Ditta , Narakorn Kaewkhao , Ali Övgün

We study a static, spherically symmetric wormhole model whose metric coincides with that of the so-called Ellis wormhole but the material source of gravity consists of a perfect fluid with negative density and a source-free radial electric…

General Relativity and Quantum Cosmology · Physics 2013-12-30 K. A. Bronnikov , L. N. Lipatova , I. D. Novikov , A. A. Shatskiy

We consider slowly rotating Ellis-Bronnikov wormholes and investigate their radial perturbations ($\mathrm{l}=0$), expanding up to second order in rotation. We present the detailed derivations in the general case, including symmetric and…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Bahareh Azad , Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Jutta Kunz

We consider rotating wormhole solutions in general relativity supported by a complex non-phantom spinor field (which provides a nontrivial spacetime topology) and electromagnetic fields. The solutions are asymmetric, regular, asymptotically…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Vladimir Dzhunushaliev , Vladimir Folomeev

In this work, we explore wormhole geometries in a recently proposed modified gravity theory arising from a non-conservative gravitational theory, tentatively denoted action-dependent Lagrangian theories. The generalized gravitational field…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Ismael Ayuso , Francisco S. N. Lobo , José P. Mimoso

In this work, we study the Klein-Gordon oscillator with equal scalar and vector potentials in a topologically charged Ellis-Bronnikov wormhole space-time background. The behaviour of a relativistic oscillator field is studied with a…

General Physics · Physics 2023-05-03 Abbad Moussa , Houcine Aounallah , Prabir Rudra , Faizuddin Ahmed

The geometry of two-dimensional crystalline membranes dictates their mechanical, electronic and chemical properties. The local geometry of a surface is determined from the two invariants of the metric and the curvature tensors. Here we…

Mesoscale and Nanoscale Physics · Physics 2014-03-07 Alejandro A. Pacheco Sanjuan , Zhengfei Wang , Hamed Pour Imani , Mihajlo Vanević , Salvador Barraza-Lopez

The present work investigates the general wormhole solution in Einstein gravity with an exponential shape function around an ultrastatic and a finite redshift geometry. The geodesic motion around the wormholes is studied in which the…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Ayanendu Dutta , Dhritimalya Roy , Subenoy Chakraborty

It is shown that experiments of the Einstein-Podolski-Rosen type are the natural consequence of the groupoid approach to noncommutative unification of general relativity and quantum mechanics. The geometry of this model is determined by the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Heller , W. Sasin

In this article we discuss confinement of electrons in graphene via smooth magnetic fields which are finite everywhere on the plane. We shall consider two types of magnetic fields leading to systems which are conditionally exactly solvable…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Dai-Nam Le , Van-Hoang Le , Pinaki Roy

In this work, we consider a static wormhole in Bopp-Podolsky electrodynamics and convert it into its rotating counterpart by reducing it into Morris-Thorne form. We further study the null geodesics and effective potential along with the…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Muhammad Ali Raza , Francisco Tello-Ortiz , M. Zubair , Y. Gómez-Leyton

The electronic Schr\"odinger equation describes the motion of $N$ electrons under Coulomb interaction forces in a field of clamped nuclei. It is proved that its solutions for eigenvalues below the essential spectrum lie in the spectral…

Analysis of PDEs · Mathematics 2026-04-10 Harry Yserentant

We consider the Schr\"odinger--Poisson--Newton equations for finite crystals under periodic boundary conditions with one ion per cell of a lattice. The electron field is described by the $N$-particle Schr\"odinger equation with…

Analysis of PDEs · Mathematics 2017-11-15 Alexander Komech , Elena Kopylova

Solving the Einstein-Klein-Gordon-Maxwell system, we construct and analyze the properties of an electrically charged wormhole, formed from a complex, massive scalar field, with self-interaction, and endowed with an electric charge. The…

General Relativity and Quantum Cosmology · Physics 2023-10-18 Víctor Jaramillo , Mariana Lira , Daniel Martínez-Carbajal , Darío Núñez

Properties of $n(\ge 5)$-dimensional static wormhole solutions are investigated in Einstein-Gauss-Bonnet gravity with or without a cosmological constant $\Lambda$. We assume that the spacetime has symmetries corresponding to the isometries…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideki Maeda , Masato Nozawa