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We establish a general no--go theorem demonstrating that all traversable wormhole configurations in Unimodular Gravity necessarily require exotic matter. The proof relies solely on the geometric flaring-out condition, $b'(r_0) \leq 1$,…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Mauricio Cataldo , Norman Cruz , Patricio Salgado

The aim of this paper is to construct regular Hayward thin-shell wormholes and analyze their stability. We adopt Israel formalism to calculate surface stresses of the shell and check the null and weak energy conditions for the constructed…

General Relativity and Quantum Cosmology · Physics 2016-08-03 M. Sharif , Saadia Mumtaz

Traversable wormholes in General Relativity (GR) require exotic matter sources that violate the null energy condition (NEC), and such behavior may be avoided in modified gravity. Moreover, the concept of non-commutative geometry as a…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Anshuman Baruah , Parangam Goswami , Atri Deshamukhya

We show that the cold horizon of the extremal Reissner-Nordstr\"{o}m can be considered as the throat of a thin-shell wormhole with zero total exotic matter and positive angular pressure. Such a wormhole is physical and stable against radial…

General Relativity and Quantum Cosmology · Physics 2018-01-11 S. Habib Mazharimousavi , M. Halilsoy

In this paper, we examine the existence of traversable wormhole solutions within the Chern-Simons modified gravity. We find a non-trivial solution in the theory with dynamical Chern-Simons coefficient in the absence of matter sources. This…

General Relativity and Quantum Cosmology · Physics 2018-01-10 J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

This paper discusses the possible existence of traversable wormholes in f(R) modified gravity while assuming a noncommutative-geometry background, as well as zero tidal forces. The first part of the paper aims for an overview via several…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Peter K. F. Kuhfittig

It is known that traversible wormholes require negative energy density. We here argue how much negative energy is needed for wormholes, using a local analysis which does not assume any symmetry. and in particular allows dynamic…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Daisuke Ida , Sean A. Hayward

In [J. Blazquez-Salcedo, C. Knoll, E. Radu, Phys. Rev. Lett. 126 (2021) no.10, 101102] asymptotically flat traversable wormhole solutions were obtained in the Einstein-Dirac-Maxwell theory without using phantom matter. The normalizable…

General Relativity and Quantum Cosmology · Physics 2022-03-07 R. A. Konoplya , A. Zhidenko

In quadratic gravity, the junction conditions are six and permit the appearance of double layer thin shells. Double layers arise typically in theories with dipoles, i.e., two opposite charges, such as electromagnetic theories, and appear…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Joao Luís Rosa , Rui André , José P. S. Lemos

The condition R=0, where R is the four-dimensional scalar curvature, is used for obtaining a large class (with an arbitrary function of r) of static, spherically symmetric Lorentzian wormhole metrics. The wormholes are globally regular and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 K. A. Bronnikov , Sung-Won Kim

We present a systematic study of exact solutions for traversable wormhole geometries in a static and hyperbolic symmetric spacetime. In the conventional form of studying wormhole geometry, traversability requires the presence of exotic…

General Relativity and Quantum Cosmology · Physics 2025-07-25 Roberto Avalos , Ernesto Contreras , Daniel Brito , Ernesto Fuenmayor

We construct solutions of plane symmetric wormholes in the presence of a negative cosmological constant by matching an interior spacetime to the exterior anti-de Sitter vacuum solution. The spatial topology of this plane symmetric wormhole…

General Relativity and Quantum Cosmology · Physics 2009-11-10 José P. S. Lemos , Francisco S. N. Lobo

This work constructs a new class of traversable wormhole solutions with a double-throat topology, modeled as a localized perturbation of the Ellis-Bronnikov metric in a string cloud background. Embedding diagrams and the analysis of…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Yvens Amaral , M. S. Cunha , C. R. Muniz , M. O. Tahim

Traversability in relation with tides in thin-shell wormholes is revisited to investigate the possibility of improving recently noted restrictive conditions for a safe travel across a wormhole throat. We consider wormholes mathematically…

General Relativity and Quantum Cosmology · Physics 2022-07-05 E. Rubín de Celis , C. Simeone

Various authors have suggested that Kaluza--Klein variants of traversable wormholes might to some extent ameliorate the defocussing properties (the curvature condition violations, and implied energy condition violations) inherent in…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Christopher Simmonds , Matt Visser

We numerically construct a symmetric wormhole solution in pure Einstein gravity supported by a massive $3$-form field with a potential that contains a quartic self-interaction term. The wormhole spacetimes have only a single throat and they…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Mariam Bouhmadi-López , Che-Yu Chen , Xiao Yan Chew , Yen Chin Ong , Dong-han Yeom

Embedding theorems, which have a long history in the general theory of relativity, are used in this paper to account for two of the most troubling aspects of Morris-Thorne wormholes, (1) the origin of exotic matter and the amount needed to…

General Relativity and Quantum Cosmology · Physics 2024-03-06 Peter K. F. Kuhfittig

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

Recently a bound on negative energy densities in four-dimensional Minkowski spacetime was derived for a minimally coupled, quantized, massless, scalar field in an arbitrary quantum state. The bound has the form of an uncertainty…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. H. Ford , Thomas A. Roman

We review a new traversable-wormhole solution of the gravitational field equation of general relativity without exotic matter. Instead of having exotic matter to keep the wormhole throat open, the solution relies on a 3-dimensional…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Frans R. Klinkhamer
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