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We propose, as a novelty in the literature, the modelling of wormholes within the particular case of the $f(R,T)$ gravity, namely $f(R,T)=R+\alpha R^{2}+\lambda T$, with $R$ and $T$ being the Ricci scalar and trace of the energy-momentum…

General Relativity and Quantum Cosmology · Physics 2018-01-23 P. K. Sahoo , P. H. R. S. Moraes , Parbati Sahoo

We derive exact traversable wormhole solutions in the framework of $f(R)$ gravity with no exotic matter and with stable conditions over the geometric fluid entering the throat. For this purpose, we propose power-law $f(R)$ models and two…

General Relativity and Quantum Cosmology · Physics 2020-12-29 Salvatore Capozziello , Orlando Luongo , Lorenza Mauro

Morris and Thorne \cite{morris1} proposed traversable wormholes, hypothetical connecting tools, using the concept of Einstein's general theory of relativity. In this paper, the modification of general relativity (in particular $f(R,T)$…

General Relativity and Quantum Cosmology · Physics 2020-05-05 Nisha Godani , Gauranga C. Samanta

Static solutions representing wormhole configurations in Einstein-Cartan theory ({{\sf ECT}}) in the presence of electric charge are obtained. The solutions are described by a constant redshift function with matter content consisting of a…

General Relativity and Quantum Cosmology · Physics 2019-03-26 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie

In this work, the study of traversable wormholes in $f(R)$-massive gravity with the function $f(R)=R+\alpha_{1} R^{n}$, where $\alpha_{1}$ and $n$ are arbitrary constants, is considered. We choose the modified shape function $b(r)$. We…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Takol Tangphati , Auttakit Chatrabhuti , Daris Samart , Phongpichit Channuie

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

We study the traversable wormhole solutions for a logarithmic corrected $f(R)$ model by considering two different statements of shape $b(r)$ and redshift $\Phi(r)$ functions. We calculate the parameters of the model including energy density…

General Relativity and Quantum Cosmology · Physics 2022-03-29 J. Sadeghi , M. Shokri , S. Noori Gashti , B. Pourhassan , P. Rudra

In this work, the study of traversable wormholes in $f(R)$ gravity with the function $f(R)=R+\alpha R^n$, where $\alpha$ and $n$ are arbitrary constants, is taken into account. The shape function $b(r)=\frac{r}{\exp(r-r_0)}$, proposed by…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Nisha Godani , Gauranga C. Samanta

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 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

Wormhole geometries in curvature-matter coupled modified gravity are explored, by considering an explicit nonminimal coupling between an arbitrary function of the scalar curvature, R, and the Lagrangian density of matter. It is the…

General Relativity and Quantum Cosmology · Physics 2010-11-09 Nadiezhda Montelongo Garcia , Francisco S. N. Lobo

We explore the properties of traversable wormhole spacetimes within the framework of energy-momentum squared gravity, also known as $f(R,T^2)$ gravity, where $R$ represents the Ricci scalar, $T_{ab}$ is the energy-momentum tensor, and $T^2…

General Relativity and Quantum Cosmology · Physics 2025-02-27 Nailya Ganiyeva , João Luís Rosa , Francisco S. N. Lobo

This thesis explores traversable wormhole (WH) solutions within symmetric teleparallel gravity and its extensions, including $f(Q)$ and $f(Q, T)$ gravity. Chapter I reviews WH geometry and properties, general relativity, and modified…

General Relativity and Quantum Cosmology · Physics 2025-05-09 Moreshwar Tayde

In this work, we intend to explore wormhole geometries in the framework of $f(R,L_m)$ gravity. We derive the field equations for the generic $f(R,L_m)$ function by assuming the static and spherically symmetric Morris-Thorne wormhole metric.…

General Relativity and Quantum Cosmology · Physics 2023-08-01 Raja Solanki , Zinnat Hassan , P. K. Sahoo

In the present article, models of traversable wormholes within the $f(R, T)$ modified gravity theory are investigated. We have presented some wormhole models, developed from various hypothesis for the substance of their matter, i.e. various…

General Physics · Physics 2021-08-03 Ambuj Kumar Mishra , Umesh Kumar Sharma , Vipin Chandra Dubey , Anirudh Pradhan

In the present work we investigate wormhole structures and the energy conditions supporting them, in Einstein-Cartan theory ({\sf ECT}). The matter content consists of a Weyssenhoff fluid along with an anisotropic matter which together…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie

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

In this work wormholes in viable $f(R)$ gravity models are analysed. We are interested in exact solutions for stress-energy tensor components depending on different shape and redshift functions. Several solutions of gravitational equations…

General Relativity and Quantum Cosmology · Physics 2015-03-24 Petar Pavlović , Marko Sossich

In the present work, a new shape function is proposed inside a modified $f(R)$ gravity and General Relativity in wormhole (WH) geometry. The shape function obeyed all the desired conditions of WH geometry. The equation of state (EoS)…

General Physics · Physics 2021-06-02 Ambuj Kumar Mishra , Umesh Kumar Sharma

In this work we analyze traversable wormhole solutions in the linear form of $f\left(R,T\right)=R+\lambda T$ gravity satisfying the Null, Weak, Strong, and Dominant Energy Conditions (NEC, WEC, SEC, and DEC respectively) for the entire…

General Relativity and Quantum Cosmology · Physics 2022-12-23 João Luís Rosa , Paul Martin Kull