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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

Models of static wormholes within the $f(\textit{R}, \textit{T})$ extended theory of gravity are investigated and, in particular, the family $f(\textit{R}, \textit{T}) = R + \lambda T$, with $T = \rho + P_{r} + 2P_{l}$ being the trace of…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Emilio Elizalde , Martiros Khurshudyan

In this paper, we obtain new $d$-dimensional and asymptotically flat wormhole solutions by assuming a specific form of the energy density distribution. This is addressed by considering the generalization of the so-called Dymnikova model,…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Milko Estrada , Celio R. Muniz

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

This article deals with the study of the dynamics of particles in different wormhole geometries. Using the Jacobi metric approach we study the geodesic motion on the Morris-Thorne wormhole. We found the only stable circular orbit located at…

General Relativity and Quantum Cosmology · Physics 2021-01-01 Marcos Argañaraz , Oscar Lasso Andino

In this work we study a Kerr-like wormhole with phantom matter as source. It has three parameters: mass, angular momentum and scalar field charge. This wormhole has a naked ring singularity, other wise it is regular everywhere. The mean…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Galaxia Miranda , Tonatiuh Matos , Nadiezhda Motelongo García

Originally proposed as a tool for teaching the general theory of relativity, wormholes are today approached in many different ways and are seeing as an efficient alternative for interstellar and time travel. Attempts to achieve…

General Relativity and Quantum Cosmology · Physics 2017-07-26 P. H. R. S. Moraes , R. A. C. Correa , R. V. Lobato

This study deals with the new class of embedded wormhole solutions in the background of general relativity. Two newly calculated wormhole solutions satisfy all the required properties. All the energy conditions are discussed through their…

General Relativity and Quantum Cosmology · Physics 2024-06-17 Niyaz Uddin Molla , Himanshu Chaudhary , Ujjal Debnath , G. Mustafa , S. K. Maurya

In the paper, we analyze some physical properties of static traversable WH within the framework of $f(R,T)$ modified gravitational theory. Firstly, we explore the validity of the null, weak, dominant and strong energy conditions for…

General Relativity and Quantum Cosmology · Physics 2024-03-21 Jianbo Lu , Mou Xu , Jing Guo , Ruonan Li

In this work we study and compare the features of gravitational entropy near the throat of transversable wormholes formed by exotic matter and wormholes in galactic halos. We have verified that gravitational entropy and entropy density of…

General Relativity and Quantum Cosmology · Physics 2020-03-19 R. de C. Lima , José A. C. Nogales , S. H. Pereira

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

An $n$-dimensional Riemannian space is said to be of embedding class $m$ if $n+m$ is the lowest dimension of the flat space in which the given space can be embedded. A spherically symmetric spacetime of class two can be reduced to class one…

General Relativity and Quantum Cosmology · Physics 2021-04-13 Peter K. F. Kuhfittig

We present a static and axisymmetric traversable wormhole spacetime with vanishing Arnowitt-Deser-Misner (ADM) mass which is characterized by a length parameter $l$ and a deformation parameter $a$ and reduces to the massless Kerr vacuum…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Hideki Maeda

We present a new definition of the wormhole throat including the flare-out condition and the traversability for general dynamical spacetimes in terms of null geodesic congruences. We will examine our definition for some examples and see…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Yoshimune Tomikawa , Keisuke Izumi , Tetsuya Shiromizu

In this work, we explore the possibility that static and spherically symmetric traversable wormhole geometries are supported by modified teleparallel gravity or f(T) gravity, where T is the torsion scalar. Considering the field equations…

General Relativity and Quantum Cosmology · Physics 2012-02-16 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

A fundamental ingredient in wormhole physics is the flaring-out condition at the throat which, in classical general relativity, entails the violation of the null energy condition. In this work, we present the most general conditions in the…

General Relativity and Quantum Cosmology · Physics 2013-03-29 Tiberiu Harko , Francisco S. N. Lobo , M. K. Mak , Sergey V. Sushkov

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 classify wormholes endowed with redshift effects and finite mass into three types. Type I wormholes have their radial pressure dying out faster, as one moves away from the throat, than any other component of the stress-energy and thus…

General Relativity and Quantum Cosmology · Physics 2015-07-27 Mustapha Azreg-Aïnou

We present a wormhole construction in the framework of the $f(R,T)$ extended gravity theory, with $R$ being the Ricci curvature scalar and $T$ the trace of the energy-momentum tensor, in the case in which the energy-momentum tensor is…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Marcelo Montenegro Lapola

In this article we study a general class of non-rotating thin-shell wormholes with cylindrical symmetry. We consider two physically sound definitions of the flare-out condition and we show that the less restrictive one allows for the…

General Relativity and Quantum Cosmology · Physics 2014-10-31 Ernesto F. Eiroa , Claudio Simeone
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