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It is well-known that traversable wormhole solutions to the Einstein equations require the existence of an exotic matter source violating the null energy condition. An apparent exception is the overcharged Kerr-Newman-NUT solution of the…

General Relativity and Quantum Cosmology · Physics 2023-01-24 Gérard Clément , Dmitri Gal'tsov

We consider the possibility of multiply-connected spacetimes, ranging from the Flamm-Einstein-Rosen bridge, geons, and the modern renaissance of traversable wormholes. A fundamental property in wormhole physics is the flaring-out condition…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Francisco S. N. Lobo

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 fundamental ingredient in wormhole physics is the presence of exotic matter, which involves the violation of the null energy condition. Although a plethora of wormhole solutions have been explored in the literature, it is useful to find…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Nadiezhda Montelongo Garcia , Francisco S. N. Lobo

We obtain traversable wormhole and time machine solutions of the field equations of an alternative of gravity with non-minimally curvature-matter coupling. Our solutions exhibit a non-trivial redshift function and allow for matter that…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Orfeu Bertolami , Ricardo Zambujal Ferreira

Recently, it has been shown by Lobo, Parsaei and Riazi (LPR) that phantom energy with $\omega =p_{r}/\rho <-1$ could support phantom wormholes. Several classes of such solutions have been derived by them. While the inner spacetime is…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Regina Lukmanova , Alina Khaibullina , Ramil Izmailov , Almir Yanbekov , Ramis Karimov , Alexander A Potapov

Gauss-Bonnet formula is used to derive a new and simple theorem of nonexistence of vacuum static nonsingular lorentzian wormholes. We also derive simple proofs for the nonexistence of lorentzian wormhole solutions for some classes of static…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alberto Saa

We consider stationary, cylindrically symmetric configurations in general relativity and formulate necessary conditions for the existence of rotating cylindrical wormholes. It is shown that in a comoving reference frame the rotational part…

General Relativity and Quantum Cosmology · Physics 2013-09-12 Kirill A. Bronnikov , Vladimir G. Krechet , José P. S. Lemos

The current study explores the generalized embedded wormhole solutions in the background of $f(\mathcal{R},\mathcal{G})$ gravity, where $\mathcal{R}$ represents the Ricci scalar and $\mathcal{G}$ denotes the Gauss-Bonnet invariant. To…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Asifa Ashraf , Saadia Mumtaz , Faisal Javed , Zhiyue Zhang

In this paper, we investigated the space-time obtained by quotients of the $AdS_4$ space-time. Further quotient with specific $\mathbb{Z}_2$ is considered. Taking up to the first-order perturbation in metric, we estimated the backreaction…

High Energy Physics - Theory · Physics 2023-08-02 Ankit Anand

In this work, wormholes, tunnel like structures introduced by Morris \& Thorne \cite{Morris95}, are explored within the framework of $f(R)$ gravity. Using the shape function $b(r)=r_0\big(\frac{r}{r_0}\big)^\gamma$, where $0<\gamma<1$, and…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Gauranga C Samanta , Nisha Godani

In this paper I present a new class of traversable wormholes. This is done by surgically grafting two Schwarzschild spacetimes together in such a way that no event horizon is permitted to form. This surgery concentrates a non--zero…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matt Visser

We study the possible existence of static traversable wormholes without invoking exotic matter in the framework of the Einstein--Cartan theory. A family of exact static, spherically symmetric wormhole solutions with an arbitrary throat…

General Relativity and Quantum Cosmology · Physics 2016-03-30 K. A. Bronnikov , A. M. Galiakhmetov

Morris and Thorne developed wormhole solutions in the late 1980s when they discovered a recipe that wormholes must follow for travelers to cross them safely. They describe exotic matter as satisfying $-p_{r} > \rho$, where $p_{r}$ is the…

General Relativity and Quantum Cosmology · Physics 2024-06-25 P. H. R. S. Moraes , A. S. Agrawal , B. Mishra

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

In this work we present a class of geometries which describes wormholes in a Randall-Sundrum brane model, focusing on de Sitter backgrounds. Maximal extensions of the solutions are constructed and their causal structures are discussed. A…

General Relativity and Quantum Cosmology · Physics 2012-08-06 C. Molina , J. C. S. Neves

Evolving Lorentzian wormholes with the required matter satisfying the Energy conditions are discussed. Several different scale factors are used and the corresponding consequences derived. The effect of extra, decaying (in time) compact…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Sayan Kar , Deshdeep Sahdev

In the present work we investigate wormhole configurations described by a constant redshift function in Einstein-Cubic gravity ({{\sf ECG}}). We derive analytical wormhole geometries by assuming a particular equation of state ({{\sf EoS}})…

General Relativity and Quantum Cosmology · Physics 2020-03-05 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie

In this paper we study the possibility of sustaining an evolving wormhole via exotic matter made out of phantom energy. We show that this exotic source can support the existence of evolving wormhole spacetimes. Explicitly, a family of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mauricio Cataldo , Pedro Labrana , Sergio del Campo , Juan Crisostomo , Patricio Salgado

This paper investigated the viable traversable wormhole solutions through Karmarkar condition in the context of $f(\mathcal{G},T)$ theory. A static spherical spacetime with anisotropic matter configuration is used to study the wormhole…

General Relativity and Quantum Cosmology · Physics 2024-04-30 M. Zeeshan Gul , M. Sharif
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