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It is known that Lorentzian wormholes must be threaded by matter that violates the null energy condition. We phenomenologically characterize such exotic matter by a general class of microscopic scalar field Lagrangians and formulate the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 C. Armendariz-Picon

It is well known that solutions of general relativity which allow for traversable wormholes require the existence of exotic matter (matter that violates weak or null energy conditions [WEC or NEC]). In this article, we provide a class of…

General Relativity and Quantum Cosmology · Physics 2009-05-29 F. Rahaman , M. Kalam , K. A. Rahman

In 6D general relativity with a scalar field as a source of gravity, a new type of static wormhole solutions is presented: such wormholes connect our universe with a small 2D extra subspace with a universe where this extra subspace is…

General Relativity and Quantum Cosmology · Physics 2016-12-07 K. A. Bronnikov , M. V. Skvortsova

There is rich literature on regular black holes from loop quantum gravity (LQG), where quantum geometry effects resolve the singularity, leading to a quantum extension of the classical space-time. As we will see, the mechanism that resolves…

General Relativity and Quantum Cosmology · Physics 2023-01-05 Abhay Ashtekar , Javier Olmedo , Parampreet Singh

Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a {\it non-static} conformal symmetry, which presents a more systematic approach in searching for exact wormhole solutions.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

In general relativity, traversable wormholes are possible provided they do not represent shortcuts in the spacetime. Einstein equations, together with the achronal averaged null energy condition, demand to take longer for an observer to go…

High Energy Physics - Theory · Physics 2019-08-14 Gaston Giribet , Emilio Rubín de Celis , Claudio Simeone

Wormholes that meet the flare-out condition violate the weak energy condition in classical general relativity. The purpose of this note is to show that even a slight modification of the gravitational theory could, under certain conditions,…

General Relativity and Quantum Cosmology · Physics 2017-02-03 Peter K. F. Kuhfittig

We are exploring the possibility of traversable wormholes existing in a more realistic context. Specifically, we are looking at scenarios that don't rely on exotic factors, like having a mass shell at the throat or allowing particles and…

General Relativity and Quantum Cosmology · Physics 2025-07-23 A. Errehymy , O. Donmez , B. Turimov , K. Myrzakulov , N. Alessa , A. -H. Abdel-Aty

The search for regular black hole solutions in classical gravity leads us to consider a core of Euclidean signature in the interior of a black hole. Solutions of Lorentzian and Euclidean general relativity match in such a way that energy…

High Energy Physics - Theory · Physics 2009-11-10 T. Hirayama , B. Holdom

While singularities are inevitable in the classical theory of general relativity, it is commonly believed that they will not be present when quantum gravity effects are taken into account in a consistent framework. In particular, the…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

In this paper, we present new generalized wormhole (WH) solutions within the context of $f(R)$ gravity. Specifically, we focus on $f(R)$ gravitational theories formulated in the metric formalism, with our investigation centered on a…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Abdelghani Errehymy , Youssef Khedif , Orhan Donmez , Mohammed Daoud , Kairat Myrzakulov , Sabit Bekov

We study the classical and quantum Euclidean wormholes for an empty (4+1) dimensional Kaluza-Klein universe with a positive cosmological constant and a spatially flat Robertson-Walker type metric. It is shown that classical wormholes do not…

General Relativity and Quantum Cosmology · Physics 2015-05-30 F. Darabi

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

The model of a spiral galaxy with radially directed flows of dark matter is extended by exotic matter, in a form of a perfect fluid with a linear anisotropic equation of state. The exotic matter is collected in the minimum of gravitational…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Igor Nikitin

It is generally believed that wormholes are supported by exotic matter violating Null Energy Condition (NEC). However, various studies of wormhole geometries under Lovelock theories of gravity have reported existence of wormhole supported…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Koushik Chakraborty , Abdul Aziz , Farook Rahaman , Saibal Ray

We construct a large number of exact solutions of three-dimensional gravity with heavy matter particles that generalize the construction of Antonini, Sasieta, and Swingle (AS${}^2$), argued to define CFT states dual to a spacetime with a…

High Energy Physics - Theory · Physics 2026-05-05 Mark Van Raamsdonk , Alejandro Vilar López

Effective field theory methods suggest that some rather-general extensions of General Relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary.…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Leonardo Senatore

It is well known that in four or more dimensions, there exist exotic manifolds; manifolds that are homeomorphic but not diffeomorphic to each other. More precisely, exotic manifolds are the same topological manifold but have inequivalent…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kristin Schleich , Donald Witt

This research delves into the potential existence of traversable wormholes (WHs) within the framework of modified, curvature based gravity. The modification includes linear perturbations of the matter Lagrangian and the trace of the…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Niklas Loewer , Moreshwar Tayde , P. K. Sahoo

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