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We discuss brane wormhole solution when classical brane action contains 4d curvature. The equations of motion for the cases with R=0 and $R\ne 0$ are obtained. Their numerical solutions corresponding to wormhole are found for specific…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Makarenko

This work is devoted to the study of analytic wormhole solutions within the framework of $f(R)$ gravity theory. To check the possibility of having wormhole structures satisfying energy conditions, by means of the class I approach the pair…

General Relativity and Quantum Cosmology · Physics 2022-06-09 A. S. Agrawal , B. Mishra , Francisco Tello-Ortiz , A. Alvarez

We introduce the symplectic twistor operator $T_s$ in symplectic spin geometry, as a symplectic analogue of the twistor operator in Riemannian spin geometry. We focus on the real dimension 2 and compute the space of its solutions on…

Analysis of PDEs · Mathematics 2016-01-06 Marie Dostalova , Petr Somberg

We consider three-dimensional gravity with negative cosmological constant coupled to a large number of light matter fields dual to relevant operators. By imposing suitable boundary conditions on the matter fields we find eternal traversable…

High Energy Physics - Theory · Physics 2023-02-28 William Harvey , Kristan Jensen

A large class of 3-dimensional integrable lattice spin models is constructed. The starting point is an invertible canonical mapping operator in the space of a triple Weyl algebra. This operator is derived postulating a current branching…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 G. von Gehlen , S. Pakuliak , S. Sergeev

We investigate whether self-maintained vacuum traversible wormhole can exist described by stationary but nonstatic metric. We consider metric being the sum of static spherically symmetric one and a small nondiagonal component which…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. M. Khatsymovsky

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

Superconductivity · Physics 2007-05-23 Artur Sowa

The CGHS two-dimensional dilaton gravity model is generalized to include a ghost Klein-Gordon field, i.e. with negative gravitational coupling. This exotic radiation supports the existence of static traversible wormhole solutions, analogous…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sean A. Hayward , Sung-Won Kim , Hyunjoo Lee

We present a discussion of the traversable wormholes in Einstein-Dirac-Maxwell theory recently reported in e-Print: 2010.07317. This includes a detailed description of the ansatz and junction condition, together with an investigation of the…

General Relativity and Quantum Cosmology · Physics 2022-06-16 Jose Luis Blázquez-Salcedo , Christian Knoll , E. Radu

Direct and inverse recursion operator is derived for the vacuum Einstein equations for metrics with two commuting Killing vectors that are orthogonal to a foliation by 2-dimensional leaves.

Exactly Solvable and Integrable Systems · Physics 2007-05-23 M. Marvan

A regular vacuum solution in 5D gravity on the principal bundle with the U(1) structural group is proposed as a 4D wormhole. This solution has two null hypersurfaces where an interchange of the sign of some 5D metric components happens. For…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Dzhunushaliev , H. -J. Schmidt

A large class of flat big bang - big crunch cosmologies with negative cosmological constant are related by analytic continuation to asymptotically AdS traversable wormholes with planar cross section. In recent works (arXiv: 2102.05057,…

High Energy Physics - Theory · Physics 2022-10-19 Stefano Antonini , Petar Simidzija , Brian Swingle , Mark Van Raamsdonk

We define morphological operators and filters for directional images whose pixel values are unit vectors. This requires an ordering relation for unit vectors which is obtained by using depth functions. They provide a centre-outward ordering…

Statistics Theory · Mathematics 2023-11-20 Konstantin Hauch , Claudia Redenbach

In this paper, we obtain the ladder operators and associated compatibility conditions for the type I and the type II multiple orthogonal polynomials. These ladder equations extend known results for orthogonal polynomials and can be used to…

Classical Analysis and ODEs · Mathematics 2015-06-04 Galina Filipuk , Walter Van Assche , Lun Zhang

In this article, we study the possibility of sustaining a static and spherically symmetric traversable wormhole geometries admitting conformal motion in Einstein gravity, which presents a more systematic approach to search a relation…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Piyali Bhar , Farook Rahaman , Tuhina Manna , Ayan Banerjee

We describe new configurations of electromagnetic (EM) material parameters, the electric permittivity $\epsilon$ and magnetic permeability $\mu$, that allow one to construct from metamaterials objects that function as invisible tunnels.…

Mathematical Physics · Physics 2008-11-26 Allan Greenleaf , Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

We present models of wormhole under the Finslerian structure of spacetime. This is a sequel of our previous work (Eur Phys J 75:564, 2015) where we constructed a toy model for compact stars based on the Finslerian spacetime geometry. In the…

General Relativity and Quantum Cosmology · Physics 2016-07-18 Farook Rahaman , Nupur Paul , Ayan Banerjee , S. S. De , Saibal Ray , A. A. Usmani

We study vortex-type solutions in a (4+1)-dimensional Einstein-Yang-Mills-SU(2) model. Assuming all fields to be independent on the extra coordinate, these solutions correspond in a four dimensional picture to axially symmetric…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Betti Hartmann , Eugen Radu

In this paper, we construct exact rotating wormholes using Ehlers solution-generating technique. This is based on the Ernst description of four-dimensional, stationary, and axially symmetric solutions of the Einstein-Maxwell theory. We…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Adolfo Cisterna , Keanu Müller , Konstantinos Pallikaris , Adriano Viganò

Using simultaneously two operator identities, we consider the inversion of the convolution operators on a rectangular. The structure of the inverse operators and of some corresponding forms, which are important in signal processing, is…

Classical Analysis and ODEs · Mathematics 2017-01-31 Alexander Sakhnovich