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The newly discovered Wormhole C--metric is a solution of Einstein's field equation coupled with a phantom scalar field which describes the accelerated wormholes. In the zero acceleration limit the solution reduces to an asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Soham Chatterjee , Sagnik Roy , Ratna Koley

For various reasons a number of authors have mooted an "exponential form" for the spacetime metric: \[ ds^2 = - e^{-2m/r} dt^2 + e^{+2m/r}\{dr^2 + r^2(d\theta^2+\sin^2\theta \, d\phi^2)\}. \] While the weak-field behaviour matches nicely…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Petarpa Boonserm , Tritos Ngampitipan , Alex Simpson , Matt Visser

We argue that a spherically symmetric traversable wormhole solution of the Einstein field equations can be supported by minimally coupled self-interacting scalar field which allows a spontaneous symmetry breaking of the field around the…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Soumya Chakrabarti , Chiranjeeb Singha

In this work we have formulated a new class of traversable exponential wormhole metrics. Here initially we have considered a exponential wormhole metric in which the temporal component is an exponential function of $r$ but the spatial…

General Relativity and Quantum Cosmology · Physics 2023-09-01 Partha Pratim Nath , Debojit Sarma

Two new exact analytical solutions of the euclidean Einstein equations for a minimal massless scalar field and negative cosmological constant have been obtained. These solutions are given in terms of Jacobian elliptic or circular functions,…

General Relativity and Quantum Cosmology · Physics 2016-08-14 P. F. González-Díaz

We consider wormhole geometries subject to a gravitational action consisting of non-linear powers of the Ricci scalar. Specifically, wormhole throats are studied in the case where Einstein gravity is supplemented with a Ricci-squared and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Furey , A. DeBenedictis

We introduce a novel Einstein-Rosen BTZ wormhole metric as a solution to the Einstein field equations with a negative cosmological constant and explore in detail its various phenomenological aspects. We show that the wormhole metric is…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Ankit Anand , Kimet Jusufi , Mendrit Latifi

We derive an exact solution to the Einstein's equations with a stress-energy tensor corresponding to an opposite-sign scalar field, and show that such a solution describes the internal region of a rotating wormhole. We also derive an static…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Tonatiuh Matos , Dario Nunez

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

The viability of traversable wormholes as exotic compact objects requires the identification of signatures that distinguish them from other compact objects. Given recent advances in observing rotating black hole signatures, identifying…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Rajesh Karmakar , Bum-Hoon Lee , Wonwoo Lee

Recently, a modified theory of gravity was presented, which consists of the superposition of the metric Einstein-Hilbert Lagrangian with an $f(\cal R)$ term constructed \`{a} la Palatini. The theory possesses extremely interesting features…

General Relativity and Quantum Cosmology · Physics 2012-12-20 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

The exponential Papapetrou metric induced by scalar field conforms to observational data not worse than the vacuum Schwarzschild solution. Here, we analyze the origin of this metric as a peculiar space-time within a wide class of scalar and…

General Relativity and Quantum Cosmology · Physics 2020-09-21 Maxim Makukov , Eduard Mychelkin

It is shown that the antiscalar approach to dark energy, whereby the energy-momentum tensor of the scalar field has the sign opposite to that of the rest of the matter, follows from the considerations of thermodynamic stability, as well as…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Eduard G. Mychelkin , Maxim A. Makukov

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

In this work, we investigate wormhole geometries with multiple throats and anti-throats in general relativity. The existence of these structures is identified through the analysis of minima and maxima in the area of the solution. Using…

General Relativity and Quantum Cosmology · Physics 2025-04-09 T. M. Crispim , Marcos V. de S. Silva , G. Alencar , Celio R. Muniz , Diego Sáez-Chillón Gómez

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

We investigate a static solution with an hyperbolic nature, characterised by a pseudo-spherical foliation of space. This space-time metric can be perceived as an anti-Schwarzschild solution, and exhibits repulsive features. It belongs to…

General Relativity and Quantum Cosmology · Physics 2010-06-23 José P. Mimoso , Francisco S. N. Lobo

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

The structure of the effective potential $V$ describing causal geodesics near the throat of an arbitrary spherical wormhole is analyzed. Einstein's equations relative to a set of regular coordinates covering a vicinity of the throat imply…

General Relativity and Quantum Cosmology · Physics 2015-05-13 N. Montelongo Garcia , T. Zannias

Noncommutative geometry, an offshoot of string theory, replaces point-like particles by smeared objects. These local effects have led to wormhole solutions in a semiclassical setting, but it has also been claimed that the noncommutative…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Peter K. F. Kuhfittig
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