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The wormhole solution could be found by solving the Einstein field equations with violating the null energy condition (NEC). We represent wormhole solutions in $\kappa(R,T)$ gravity in two different ways. At first, we find the shape…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Susmita Sarkar , Nayan Sarkar , Farook Rahaman , Y Aditya

We propose new vertex operators, both the type I and the type II dual, of the elliptic quantum toroidal algebra U_{t_1,t_2,p}(gl_{1,tor}) by combining representations of U_{t_1,t_2,p}(gl_{1,tor}) and the notions of the elliptic stable…

Representation Theory · Mathematics 2025-08-06 Hitoshi Konno , Andrey Smirnov

In this work, we undertake an analysis of new wormhole solutions within an action-dependent Lagrangian framework. These geometries can be traversable and supported by a positive energy density. The modification of the gravitational field…

General Relativity and Quantum Cosmology · Physics 2024-06-12 Ismael Ayuso , Ruth Lazkoz

We outline a general procedure to derive first-order differential equations obeyed by geodesic orbits over two-dimensional (2D) surfaces of revolution immersed or embedded in ordinary three-dimensional (3D) Euclidean space. We illustrate…

General Relativity and Quantum Cosmology · Physics 2022-01-25 Lorenzo Gallerani Resca , Nicholas A. Mecholsky

Wormholes are intriguing classical solutions in General Relativity, that have fascinated theoretical physicists for decades. In recent years, especially in Holography, gravitationalWormhole geometries have found a new life in many…

High Energy Physics - Theory · Physics 2022-06-07 Arnab Kundu

There exist non-trivial stationary points of the Euclidean action for an axion particle minimally coupled to Einstein gravity, dubbed wormholes. They explicitly break the continuos global shift symmetry of the axion in a non-perturbative…

High Energy Physics - Phenomenology · Physics 2017-07-07 Rodrigo Alonso , Alfredo Urbano

The vector transform operators are investigated; these operators are used at the solution of boundary value problems in piecewise homogeneous spherically symmetric areas. In particular, examples of transformation operators for vector…

Analysis of PDEs · Mathematics 2018-05-16 Oleg Yaremko , Lidia Simutina

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

We study a traversable wormhole originated by a transformation over the 4D Dymnikova metric which describes analytic Black-Holes (BH). By using a transformation of coordinates which is adapted from the used in the Einstein-Rosen bridge, we…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Jesús Martín Romero , Mauricio Bellini

Wormholes -- solutions to the euclidean Einstein equations with non-trivial topology -- are usually assumed to make real contributions to amplitudes in quantum gravity. However, we find a negative mode among fluctuations about the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 V. A. Rubakov , O. Yu. Shvedov

Using techniques from the theory of mock modular forms and harmonic Maass forms, especially Weierstrass mock modular forms, we establish several dimension formulas for certain strongly rational, holomorphic vertex operator algebras,…

Number Theory · Mathematics 2020-07-02 Lea Beneish , Michael H. Mertens

An explicit vertex operator algebra construction is given of a class of irreducible modules for toroidal Lie algebras.

Quantum Algebra · Mathematics 2007-05-23 S. Berman , Y. Billig , J. Szmigielski

We investigate Euclidean wormholes in Einstein gravity with a massless scalar field in de Sitter space. Euclidean wormholes are possible due to the analytic continuation of the time as well as complexification of fields, where we need to…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Pisin Chen , Yao-Chieh Hu , Dong-han Yeom

In this paper we search for dynamical traversable wormhole solution in the modified $f(T)$ theory of gravity, $T$ being the torsion scalar. For such wormhole, the time dependence is inserted in the static traversable wormhole metric of…

General Physics · Physics 2019-03-27 R. C. Tefo , P. H. Logbo , M. J. S. Houndjo , J. Tossa

We show that duality transformations of linearized gravity in four dimensions, i.e., rotations of the linearized Riemann tensor and its dual into each other, can be extended to the dynamical fields of the theory so as to be symmetries of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marc Henneaux , Claudio Teitelboim

Static and spherically symmetric wormhole solutions can be reconstructed in the framework of curvature based Extended Theories of Gravity. In particular, extensions of the General Relativity, in metric and curvature formalism give rise to…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Vittorio De Falco , Emmanuele Battista , Salvatore Capozziello , Mariafelicia De Laurentis

The equations of motion that must be satisfied by fields that constitute realizations of the Poincare group algebra, for integral spin, and mass m, are obtained. For the case of massive spin 2 these equations are satisfied by the selfdual,…

High Energy Physics - Theory · Physics 2010-01-02 Pio J. Arias

A new local and gauge invariant quantum vortex operator is constructed in three-dimensional gauge field theories. The correlation functions of this operator are evaluated exactly in pure Maxwell theory and by means of a loop expansion in…

High Energy Physics - Theory · Physics 2015-06-26 E. C. Marino

We develop a systematic method of obtaining duality symmetric actions in different dimensions. This technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in…

High Energy Physics - Theory · Physics 2007-05-23 R. Banerjee , C. Wotzasek

We consider rotating wormhole solutions supported by a complex phantom scalar field with a quartic self-interaction, where the phantom field induces the rotation of the spacetime. The solutions are regular and asymptotically flat. A subset…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Xiao Yan Chew , Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz