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Related papers: F(R) gravity's rainbow and its Einstein counterpar…

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We study the thermodynamics of modified black holes proposed in the context of gravity's rainbow. A notion of intrinsic temperature and entropy for these black holes is introduced. In particular for a specific class of modified…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yi Ling , Xiang Li , Hongbao Zhang

The concept of dark energy can be a candidate for preventing the gravitational collapse of compact objects to singularities. According to the usefulness of gravity's rainbow in UV completion of general relativity (by providing a new…

General Relativity and Quantum Cosmology · Physics 2022-10-25 A. Bagheri Tudeshki , G. H. Bordbar , B. Eslam Panah

This paper is devoted to investigate nonlinearly charged dilatonic black holes in the context of gravity's rainbow with two cases: I) by considering the usual entropy, II) in the presence of first order logarithmic correction of entropy.…

General Relativity and Quantum Cosmology · Physics 2017-09-28 S. H. Hendi , B. Eslam Panah , S. Panahiyan , M. Momennia

Violation of Lorentz invariancy in the high energy quantum gravity motivates one to consider an energy dependent spacetime with massive deformation of standard general relativity. In this paper, we take into account an energy dependent…

General Relativity and Quantum Cosmology · Physics 2017-04-07 S. H. Hendi , B. Eslam Panah , S. Panahiyan

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

General Relativity and Quantum Cosmology · Physics 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

Motivated by the well-known charged BTZ black holes, we look for $(2+1)$-dimensional solutions of $F(R)$ gravity. At first we investigate some near horizon solutions and after that we obtain asymptotically Lifshitz black hole solutions.…

General Relativity and Quantum Cosmology · Physics 2015-07-13 S. H. Hendi

We show that the $f(R)$-gravity theories with constant Ricci scalar in the Jordan/Einstein frame can be described by Einstein or Einstein-Maxwell gravity with a cosmological term and a modified gravitational constant. We also propose a…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Pankaj Chaturvedi , Utkarsh Kumar , Udaykrishna Thattarampilly , Vishnu Kakkat

This study looks into regular solutions in a theory of gravity called $f(R)$ gravity, which also involves a scalar field. The $f(R)$ theory changes Einstein's ideas by adding a new function related to something called the Ricci scalar. This…

General Relativity and Quantum Cosmology · Physics 2024-04-26 G. G. L. Nashed

In this work, we study the $f(R)$ models of inflation in the context of gravity's rainbow theory. We choose three types of $f(R)$ models: $f(R)=R+\alpha (R/M)^{n},\,f(R)=R+\alpha R^{2}+\beta R^{2}\log(R/M^{2})$ and the Einstein-Hu-Sawicki…

General Relativity and Quantum Cosmology · Physics 2020-09-02 Areef Waeming , Phongpichit Channuie

In this study we investigate regular black hole solutions of the non-minimally coupled $ Y(R)F^2 $ gravity model. We give two regular black hole solutions and the corresponding non-minimal model for both electrically or magnetically charged…

General Relativity and Quantum Cosmology · Physics 2016-03-25 Özcan Sert

The current study explores the generalized embedded wormhole solutions in the background of $f(\mathcal{R},\mathcal{G})$ gravity, where $\mathcal{R}$ represents the Ricci scalar and $\mathcal{G}$ denotes the Gauss-Bonnet invariant. To…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Asifa Ashraf , Saadia Mumtaz , Faisal Javed , Zhiyue Zhang

Various approaches to quantum gravity such as string theory, loop quantum gravity and Horava-Lifshitz gravity predict modifications of the energy-momentum dispersion relation. Magueijo and Smolin incorporated the modified dispersion…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Ahmed Farag Ali , Mohammed M. Khalil

This paper discusses the possible existence of traversable wormholes in f(R) modified gravity while assuming a noncommutative-geometry background, as well as zero tidal forces. The first part of the paper aims for an overview via several…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Peter K. F. Kuhfittig

In this paper, we present new generalized wormhole (WH) solutions within the context of $f(R)$ gravity. Specifically, we focus on $f(R)$ gravitational theories formulated in the metric formalism, with our investigation centered on a…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Abdelghani Errehymy , Youssef Khedif , Orhan Donmez , Mohammed Daoud , Kairat Myrzakulov , Sabit Bekov

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

Recent observation shows that general relativity (GR) is not valid in the strong regime. $\mathit{f(R)}$ gravity where $\mathit{R}$ is the Ricci scalar, is regarded to be one of good candidates able to cure the anomalies appeared in the…

General Relativity and Quantum Cosmology · Physics 2021-07-01 G. G. L. Nashed , S. Nojiri

In this work, we have studied the traversable wormholes geometry in $f(R)$ theory gravity, where $R$ be the Ricci scalar. The wormhole solution for some assumed $f(R)$ functions have been presented. The assumption of $f(R)$ is based on the…

General Relativity and Quantum Cosmology · Physics 2021-12-24 B. Mishra , A. S. Agrawal , S. K. Tripathy. Saibal. Ray

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yongben Shi , Rong-Jia Yang

The present work looks for the possible existence of static and spherically symmetric wormhole geometries in Rastall-Rainbow gravity. Since, the Rastall-Rainbow gravity model has been constructed with the combination of Rastall theory and…

General Relativity and Quantum Cosmology · Physics 2024-06-07 Abdelghani Errehymy , Ayan Banerjee , Orhan Donmez , Mohammed Daoud , Kottakkaran Sooppy Nisar , Abdel-Haleem Abdel-Aty

We consider a special class of vacuum $F(R)$-modified gravity models. The form of their Lagrangian is such that the field equations are trivially satisfied when the Ricci scalar is constant. There are many interesting $F(R)$-models for…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Marco Calzà , Massimiliano Rinaldi , Lorenzo Sebastiani