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Related papers: Exotic solutions in General Relativity: Traversabl…

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Wormhole solutions in General Relativity (GR) require \textit{exotic} matter sources that violate the null energy condition (NEC), and it is well known that higher-order modifications of GR and some alternative matter sources can support…

General Relativity and Quantum Cosmology · Physics 2024-03-06 Parangam Goswami , Anshuman Baruah , Atri Deshamukhya

In this paper, we develop an iterative approach to span the whole set of exotic matter models able to drive a traversable wormhole. The method, based on a Taylor expansion of metric and stress-energy tensor components in a neighbourhood of…

General Relativity and Quantum Cosmology · Physics 2017-04-14 Marco Chianese , Elisabetta Di Grezia , Mattia Manfredonia , Gennaro Miele

A unified framework for black holes and traversible wormholes is described, where both are locally defined by outer trapping horizons, two-way traversible for wormholes and one-way traversible for black or white holes. In a two-dimensional…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

In the late 1980s, Morris and Thorne led in theoretical physics by creating solutions to wormholes and formulating the crucial requirements for safe traversability of wormholes. They found that exotic matter must meet the requirement $P_r +…

General Relativity and Quantum Cosmology · Physics 2025-05-28 A. Errehymy , O. Donmez , A. Syzdykova , K. Myrzakulov , S. Muminov , A. Dauletov , J. Rayimbaev

Wormholes are tunnels connecting different regions in space-time. They were obtained originally as a solution for Einstein's General Relativity theory and according to this theory they need to be filled by an exotic kind of anisotropic…

General Relativity and Quantum Cosmology · Physics 2019-01-15 P. K. Sahoo , P. H. R. S. Moraes , Parbati Sahoo , G. Ribeiro

Various spacetime candidates for traversable wormholes, regular black holes, and `black-bounces' are presented and thoroughly explored in the context of the gravitational theory of general relativity. All candidate spacetimes belong to the…

General Relativity and Quantum Cosmology · Physics 2021-04-30 Alex Simpson

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

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

Macroscopic traversable wormhole solutions to Einstein's field equations in $(2+1)$ and $(3+1)$ dimensions with a cosmological constant are investigated. Ensuring traversability severely constrains the material used to generate the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. S. Delgaty , R. B. Mann

Assuming the four-dimensional space-time to be a general warped product of two surfaces we reduce the four-dimensional Einstein equations to a two-dimensional problem which can be solved. All global vacuum solutions are explicitly…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. O. Katanaev , T. Kloesch , W. Kummer

In this study, we investigate traversable wormhole solutions within the setup of $f(R,\mathcal{L}_{m})$ gravity, a modified theory of gravity where the gravitational action relies upon the matter Lagrangian $\mathcal{L}_{m}$ and the Ricci…

General Relativity and Quantum Cosmology · Physics 2025-09-10 A. S. Agrawal , Sankarsan Tarai , B. Mishra , S. K. Tripathy

Euclidean wormholes have played a key role in the recent ``disorder averaged" approaches to quantum gravity and holography, but are typically only considered in somewhat special theories of gravity, such as theories in low dimensions or…

High Energy Physics - Theory · Physics 2025-03-18 Alexander Maloney , Viraj Meruliya , Mark Van Raamsdonk

In this work, we investigate the existence of wormholes within the framework of Loop Quantum Cosmology, using isotropic dark matter as the source. We analyze three distinct density profiles and solve the modified gravity field equations…

General Relativity and Quantum Cosmology · Physics 2025-04-11 Marcos V. de S. Silva , G. Alencar , R. N. Costa Filho , R. M. P. Neves , Celio R. Muniz

Local solutions are a vivid and long-living topic in gravitational physics. We consider exact static pseudo-spherically symmetric solutions of semi-classical Einstein's equations in presence of the trace anomaly contribution. We investigate…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Marco Calzá , Alessandro Casalino , Lorenzo Sebastiani

Traversable wormholes necessarily require violations of the averaged null energy condition; this being the definition of ``exotic matter''. However, the theorems which guarantee the energy condition violation are remarkably silent when it…

General Relativity and Quantum Cosmology · Physics 2011-07-18 Matt Visser , Sayan Kar , Naresh Dadhich

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 provide a prescription of real feasible sources that supply fuel to construct a traversable wormhole. A class of exact solutions for Einstein-Maxwell field equations describing wormhole with an anisotropic matter distribution has been…

General Relativity and Quantum Cosmology · Physics 2009-02-18 F. Rahaman , M. Kalam , K. A. Rahman

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

All known solutions to the Einstein equations describing rotating cylindrical wormholes lack asymptotic flatness and therefore cannot describe wormhole entrances as local objects in our Universe. To overcome this difficulty, wormhole…

General Relativity and Quantum Cosmology · Physics 2019-05-13 K. A. Bronnikov , V. G. Krechet

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 2012-07-19 Francisco S. N. Lobo