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In this paper we study classical general relativistic static wormhole configurations with pseudo-spherical symmetry. We show that in addition to the hyperbolic wormhole solutions discussed by Lobo and Mimoso in the Ref. Phys.\ Rev.\ D {\bf…

General Relativity and Quantum Cosmology · Physics 2015-06-26 Mauricio Cataldo , Luis Liempi , Pablo Rodriguez

We consider Non-local Gravity in view to obtain stable and traversable wormhole solutions. In particular, the class of Non-local Integral Kernel Theories of Gravity, with the inverse d'Alembert operator in the gravitational action, is taken…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Salvatore Capozziello , Nisha Godani

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

Wormholes are considered both from the Wheeler deWitt equation, as well as from the field equations in the Euclidean background of Roberson Walker mini-superspace in $R^2$ gravity. Quantum wormhole satisfies Hawking Page wormhole boundary…

General Relativity and Quantum Cosmology · Physics 2022-03-11 B Modak , Gargi Biswas

We study traversable wormhole solutions in pure gauged $N\!=\!2$ supergravity with and without electromagnetic fields, which are locally isometric under $\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(1,1)$. The model allows for 1/2-BPS wormhole…

High Energy Physics - Theory · Physics 2020-10-28 Andres Anabalon , Bernard de Wit , Julio Oliva

In this article, new wormhole solutions in the framework of General Relativity are presented. Taking advantage of gravitational decoupling by means of minimal geometric deformation approach and, the so-called noncommutative geometry…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Francisco Tello-Ortiz , B. Mishra , A. Alvarez , Ksh. Newton Singh

We compute general compatibility conditions between a weakly nonlocal homogeneous Hamiltonian operator and a third-order homogeneous Hamiltonian operator. Such operators determine a bi-Hamiltonian structure for many integrable PDEs…

Exactly Solvable and Integrable Systems · Physics 2026-02-17 Paolo Lorenzoni , Stanislav Opanasenko , Raffaele Vitolo

A gravitational theory of a scalar field non-minimally coupled with torsion and boundary term is considered with the aim to construct Lorentzian wormholes. Geometrical parameters including shape and redshift functions are obtained for these…

General Relativity and Quantum Cosmology · Physics 2016-10-28 Sebastian Bahamonde , Ugur Camci , Salvatore Capozziello , Mubasher Jamil

We present results concerning the norm convergence of resolvents for wildperturbations of the Laplace-Beltrami operator. This article is a continuation of ouranalysis on wildly perturbed manifolds presented in [AP21]. We study here…

Spectral Theory · Mathematics 2025-01-27 Colette Anné , Olaf Post

Within general relativity, we study spherically symmetric configurations with wormhole topology consisting of spinor fields and a Maxwell electric field. For such a system, we construct complete families of regular asymmetric solutions…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Vladimir Dzhunushaliev , Vladimir Folomeev , Nurzada Beissen , Adilet Nurmukhamedov

In the class of vacuum Petrov type D spacetimes with cosmological constant, which includes the Kerr-(A)dS black hole as a particular case, we find a set of four-dimensional operators that, when composed {\em off shell} with the Dirac,…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Bernardo Araneda

We present the first results of a self-consistent solution of the semiclassical Einstein field equations corresponding to a Lorentzian wormhole coupled to a quantum scalar field. The specific solution presented here represents a wormhole…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Hochberg , Arkadiy Popov , Sergey V. Sushkov

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

Recent results on the decoherent histories quantization of simple cosmological models (minisuperspace models) are described. The most important issue is the construction, from the wave function, of a probability distribution answering…

General Relativity and Quantum Cosmology · Physics 2015-05-30 J. J. Halliwell

The effects of asymptotically anti-de Sitter wormholes in low-energy field theory are calculated in full detail for three different matter contents: a conformal scalar field, an electromagnetic field and gravitons. There exists a close…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Barcelo , L. J. Garay

We consider the classical minisuperspace model describing a closed, homogeneous and isotropic Universe, with a positive cosmological constant. Upon canonical quantization, the infinite number of possible operator orderings in the quantum…

High Energy Physics - Theory · Physics 2025-05-29 Eftychios Kaimakkamis , Hervé Partouche , Karunava Sil , Nicolaos Toumbas

Here we shall show how to reconstruct the shape function of a spherically symmetric traversable Lorenzian wormhole near its throat if one knows high frequency quasinormal modes of the wormhole. The wormhole spacetime is given by the…

General Relativity and Quantum Cosmology · Physics 2018-07-25 R. A. Konoplya

This is a continuation of our work to understand vertex operator algebras using the geometric properties of varieties attached to vertex operator algebras. For a class of vertex operator algebras including affine vertex operator algebras…

Representation Theory · Mathematics 2017-09-19 Yanjun Chu , Zongzhu Lin

By the use of complete orthonormal sets of nonrelativistic scalar orbitals introduced by the author in previous papers the new complete orthonormal basis sets for two-and four-component spinor wave functions, and Slater spinor orbitals…

Chemical Physics · Physics 2008-05-06 I. I. Guseinov

Corresponding to any $(m-1)$-tuple of semi-spectral measures on the unit circle, a weighted Dirichlet-type space is introduced and studied. We prove that the operator of multiplication by the coordinate function on these weighted…

Functional Analysis · Mathematics 2022-07-07 S. Ghara , R. Gupta , Md. R. Reza