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We consider the equations of motion of an anisotropic space-time in $f(T)$ theory, where $T$ is the torsion. New spherically symmetric solutions of black holes and wormholes are obtained with a constant torsion and the cases for which the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 M. Hamani Daouda , Manuel E. Rodrigues , M. J. S. Houndjo

We investigate the motion of a massive particle around a spherically symmetric black hole surrounded by a stationary and radial inflow of perfect fluid. The background spacetime is modelled as a spherically symmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Ariadna Uxue Palomino Ylla , Yasutaka Koga , Chul-Moon Yoo

This paper extends several previous studies of wormholes supported by two non-interacting fluids beginning with a combined model of ordinary matter and phantom dark energy with an anisotropic matter distribution. After noting that such…

General Relativity and Quantum Cosmology · Physics 2023-05-02 Peter K. F. Kuhfittig

In this study, we reach the equations of motion of Morris-Thorne wormhole geometry by means of the Einstein Field Equations and Klein-Gordon Equation of Scalar-Tensor theory by direct calculation. We discuss the anisotropic matter energy…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Onur Genç

By a combination of analytical and numerical techniques, we demonstrate the existence of spherical, asymptotically flat traversable wormholes supported by exotic matter whose stress tensor relative to the orthonormal frame of Killing…

General Relativity and Quantum Cosmology · Physics 2015-05-13 J. A. Gonzalez , F. S. Guzman , N. Montelongo-Garcia , T. Zannias

In this paper, we analyze the Schwarzschild-like wormhole in the Asymptotically Safe Gravity(ASG) scenario. The ASG corrections are implemented via renormalization group methods, which, as consequence, provides a new tensor $X_{\mu\nu}$ as…

General Relativity and Quantum Cosmology · Physics 2021-10-12 M. Nilton , G. Alencar

We investigate stable central structures in multiply-connected, anti de Sitter spacetimes with spherical, planar and hyperbolic geometries. We obtain an exact solution for the pressure in terms of the radius when the density is constant. We…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. L. Smith , R. B. Mann

First, the ideas introduced in the wormhole research field since the work of Morris and Thorne are briefly reviewed, namely, the issues of energy conditions, wormhole construction, stability, time machines and astrophysical signatures.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose' P. S. Lemos , Francisco S. N. Lobo , Sergio Quinet de Oliveira

The analytic solution of the general relativity equations for spherically symmetric wormholes are given. We investigate the special case of a "traversable" wormhole i.e., one allowing the signal to pass through it. The energy-momentum…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Alexander Shatskiy , I. D. Novikov , N. S. Kardashev

In this paper we study the possibility of sustaining an evolving wormhole via exotic matter made out of phantom energy. We show that this exotic source can support the existence of evolving wormhole spacetimes. Explicitly, a family of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mauricio Cataldo , Pedro Labrana , Sergio del Campo , Juan Crisostomo , Patricio Salgado

This study explores asymptotically flat wormhole solutions within the framework of $f(R,T)$ gravity. We analyze $f(R,T)$ expressed as $f(R,T)=R+\lambda T+\lambda_1 T^2$. A linear equation of state is employed for both radial and lateral…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Foad Parsaei , Sara Rastgoo

In this article, a new family of asymptotically flat wormhole solutions in the context of symmetric teleparallel gravity, i.e., $f(Q)$ theory of gravity, are presented. Considering a power-law shape function and some different forms for…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Sara Rastgoo , Foad Parsaei

This paper discusses several new exact solutions of static wormholes in $f(R)$ gravity with a noncommutative-geometry background, which replaces point-like structures by smeared objects. In the first part of the paper we assume the…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Mubasher Jamil , Farook Rahaman , Ratbay Myrzakulov , P. K. F. Kuhfittig , Nasr Ahmed , Umar F Mondal

Instead of conformal to flat spacetime, we take the metric conformal to a spacetime which can be thought of as ``minimally'' curved in the sense that free particles experience no gravitational force yet it has non-zero curvature. The base…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Naresh Dadhich

We present a family of static and evolving spherically symmetric Lorentzian wormhole solutions in N+1 dimensional Einstein gravity. In general, for static wormholes, we require that at least the radial pressure has a barotropic equation of…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Mauricio Cataldo , Paola Meza , Paul Minning

We consider the inhomogeneous Morris-Thorne wormhole metric with matter tensors characterised by a novel linear equation of state in $f(R)$ gravity. Using the Einstein's field equations in metric $f(R)$ gravity we model solutions for both…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Subhasis Nalui , Subhra Bhattacharya

This study presents new spherically symmetric and dynamical wormhole solutions supported by ordinary matter modeled as an anisotropic fluid, exhibiting a traversable nature. To achieve this goal, we adopt different approaches to obtain both…

General Relativity and Quantum Cosmology · Physics 2025-04-29 M. Zubair , Hina Azmat , Quratulien Muneer , Saira Waheed , M. B. Cruz

For static, spherically symmetric space-times in general relativity (GR), a no-go theorem is proved: it excludes the existence of wormholes with flat and/or AdS asymptotic regions on both sides of the throat if the source matter is…

General Relativity and Quantum Cosmology · Physics 2018-01-03 K. A. Bronnikov , K. A. Baleevskikh , M. V. Skvortsova

In this paper, we investigate static spherically symmetric wormhole solutions in the background of $F(T,T_\mathcal{G})$ gravity ($T$ is the torsion scalar and $T_{\mathcal{G}}$ represents teleparallel equivalent of the Gauss-Bonnet term).…

General Relativity and Quantum Cosmology · Physics 2018-05-31 M. Sharif , Kanwal Nazir

In the context of General Relativity (GR), violation of the null energy condition (NEC) is necessary for existence of static spherically symmetric wormhole solutions. Also, it is a well-known fact that the energy conditions are violated by…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie