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In this paper we study traversable wormholes in the context of $f(R)$ gravity. Exact solutions of traversable wormholes are found by imposing the nonconstant Ricci scalar. These solutions asymptotically match spherical, flat and hyperbolic…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Hanif Golchin , Mohammad Reza Mehdizadeh

In this paper we study static spherically symmetric wormhole solutions sustained by matter sources with isotropic pressure. We show that such spherical wormholes do not exist in the framework of zero-tidal-force wormholes. On the other…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Mauricio Cataldo , Luis Liempi , Pablo Rodríguez

Spacetime wormholes are evidently an essential component of the construction of a time machine. Within the context of general relativity, such objects require, for their formation, exotic matter -- matter that violates at least one of the…

General Relativity and Quantum Cosmology · Physics 2024-06-13 Mengqi Lu , Jiayue Yang , Robert B. Mann

Spacetime wormholes in isotropic spacetimes are represented traditionally by embedding diagrams which were symmetric paraboloids. This mirror symmetry, however, can be broken by considering different sources on different sides of the…

General Relativity and Quantum Cosmology · Physics 2018-06-15 S. Danial Forghani , S. Habib Mazharimousavi , M. Halilsoy

The paper deals with the static spherically symmetric wormhole solutions in $f(R)$-modified gravity theory with anisotropic matter field and for some particular choices for the shape functions. The present work may be considered as an…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Bikram Ghosh , Saugata Mitra , Subenoy Chakraborty

The general form of a stationary, axially symmetric traversable wormhole is discussed. This provides an explicit class of rotating wormholes that generalize the static, spherically symmetric ones first considered by Morris and Thorne. In…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Edward Teo

We study the possibility of non-singular black hole solutions in the theory of general relativity coupled to a non-linear scalar field with a positive potential possessing two minima: a `false vacuum' with positive energy and a `true…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dmitri V. Gal'tsov , Jose' P. S. Lemos

We develop a number of novel "black-bounce" spacetimes. These are specific regular black holes where the "area radius" always remains non-zero, thereby leading to a "throat" that is either timelike (corresponding to a traversable wormhole),…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Francisco S. N. Lobo , Manuel E. Rodrigues , Marcos V. de S. Silva , Alex Simpson , Matt Visser

We extend previous proofs that violations of the null energy condition (NEC) are a generic and universal feature of traversable wormholes to completely non-symmetric time-dependent wormholes. We show that the analysis can be phrased purely…

General Relativity and Quantum Cosmology · Physics 2009-10-31 David Hochberg , Matt Visser

An analytical solution representing traversable asymptotically flat and symmetric wormholes was obtained without adding exotic matter in two different theories independently: in the Einstein-Maxwell-Dirac theory and in the second…

General Relativity and Quantum Cosmology · Physics 2021-10-08 M. S. Churilova , R. A. Konoplya , Z. Stuchlik , A. Zhidenko

In a recent paper Ca\~nate (CQG, {\bf 35}, 025018 (2018)) proved a no hair theorem to static and spherically symmetric or stationary axisymmetric black holes in general $f(R)$ gravity. The theorem applies for isolated asymptotically flat or…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Joseph Sultana , Demosthenes Kazanas

In this paper, we explore higher-dimensional asymptotically flat wormhole geometries in the framework of Gauss-Bonnet (GB) gravity and investigate the effects of the GB term, by considering a specific radial-dependent redshift function and…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Mohammad Reza Mehdizadeh , Mahdi Kord Zangeneh , Francisco S. N. Lobo

In this paper we study classical general relativistic static wormhole configurations with pseudo-spherical symmetry. We show that in addition to the hyperbolic wormhole solutions discussed by Lobo and Mimoso in the Ref. Phys.\ Rev.\ D {\bf…

General Relativity and Quantum Cosmology · Physics 2015-06-26 Mauricio Cataldo , Luis Liempi , Pablo Rodriguez

The present study analyses the wormhole solution both in the dRGT-$ f(R,T) $ massive gravity and Einstein massive gravity. In both the models, the anisotropic pressure solution in ultrastatic wormhole geometry gives rise to the shape…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Ayanendu Dutta , Dhritimalya Roy , Nihal Jalal Pullisseri , Subenoy Chakraborty

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

We introduce two classes of spherically symmetric spacetimes having a thin shell of matter, in non-quadratic F(R) theories of gravity with non-constant scalar curvature R. In the first, the thin shell joins an inner region with an outer…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Ernesto F. Eiroa , Griselda Figueroa-Aguirre

A general class of solutions is obtained which describe a spherically symmetric wormhole system. The presence of arbitrary functions allows one to describe infinitely many wormhole systems of this type. The source of the stress-energy…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. DeBenedictis , A. Das

In this paper, we have systematically discussed the existence of the spherically symmetric wormhole solutions in the framework of $f(Q,\,T)$ gravity under two interesting non-commutative geometries such as Gaussian and Lorentzian…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Moreshwar Tayde , Zinnat Hassan , P. K. Sahoo

In the present work, we construct models of static wormholes within the framework of 4-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity an (an)isotropic energy momentum tensor (EMT) and a Maxwell field as supporting matters for the…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Piyachat Panyasiripan , Fereshteh Felegary , Phongpichit Channuie

In this study, we investigate the possible existence of static and spherically symmetric wormhole solutions within the context of the newly formulated extended $f(Q,T)$ gravity. We analyze a linear model, $f(Q,T)=\alpha Q+ \beta T$, and…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Sara Rastgoo , Foad Parsaei , Soudabe Nasirimoghadam