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Related papers: G\"odel-type spacetimes in $f(Q)$ gravity

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The $f(R)$ gravity theories provide an alternative way to explain the current cosmic acceleration without a dark energy matter component. If gravity is governed by a $f(R)$ theory a number of issues should be reexamined in this framework,…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-02 M. J. Reboucas , J. Santos

The issue of causality in $f(T)$ gravity is investigated by examining the possibility of existence of the closed timelike curves in the G\"{o}del-type metric. By assuming a perfect fluid as the matter source, we find that the fluid must…

General Relativity and Quantum Cosmology · Physics 2012-10-15 Di Liu , Puxun Wu , Hongwei Yu

In this work, the classical Godel solution from general relativity is extended into the framework of modified gravity theories based on non-metricity $Q$ and the trace of the energy-momentum tensor $T$ in the context of $f(Q,T)$ gravity.…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Tuhina Ghorui , Prabir Rudra , Farook Rahaman

In this paper, we deal with the $f(R,Q)$ gravity whose action depends, besides of the scalar curvature $R$, on the higher-derivative invariant $Q=R_{\mu\nu}R^{\mu\nu}$. In order to compare this theory with the usual General Relativity (GR),…

High Energy Physics - Theory · Physics 2017-09-14 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio , A. F. Santos

In this work, we scrutinize the consistency of spacetime homogeneous G\"{o}del-type metrics within $f(R,Q,P)$ theories of gravity for well-motivated matter sources. As it is well known, such geometries allow for causality violation. We…

General Relativity and Quantum Cosmology · Physics 2023-04-28 J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio , Ramires N. da Silva

[Abridged] In its standard formulation, the $f(T)$ field equations are not invariant under local Lorentz transformations, and thus the theory does not inherit the causal structure of special relativity. A locally Lorentz covariant $f(T)$…

General Relativity and Quantum Cosmology · Physics 2017-11-28 G. Otalora , M. J. Reboucas

We examine the question as to whether the Palatini f(R) gravity theories permit space-times in which the causality is violated. We show that every perfect-fluid G\"{o}del-type solution of Palatini f(R) gravity with density $\rho$ and…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-30 J. Santos , M. J. Reboucas , T. B. R. F. Oliveira

[Abridged] If gravitation is to be described by a hybrid metric-Palatini $f(\mathcal{R})$ gravity theory there are a number of issues that ought to be examined in its context, including the question as to whether its equations allow…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Janilo Santos , Marcelo J. Reboucas , Antônio F. F. Teixeira

In this paper, $f(R,\lm, T)$ gravity is considered. It is a generalization of the theories $f(R,T)$ and $f(R, \lm)$. This modified theory of gravity exhibits strong geometry-matter coupling. The problem of causality and its violation is…

General Relativity and Quantum Cosmology · Physics 2024-11-19 J. S. Gonçalves , A. F. Santos

A modified gravitational model whose action is given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field, and its kinetic term is investigated as an extension of the gravitational sector including an…

General Relativity and Quantum Cosmology · Physics 2026-05-04 L. A. S. Evangelista , M. L. R. Silva , J. V. Moretti , A. F. Santos

In this paper, $f(R,T,R_{\mu\nu} T^{\mu\nu}$) gravity is considered. It is a modified theory of gravity that exhibits a strong coupling of gravitational and matter fields. Therefore, if gravity is governed by this model a number of issues…

General Relativity and Quantum Cosmology · Physics 2022-11-23 J. S. Gonçalves , A. F. Santos

We consider an $f(Q,T)$ type gravity model in which the scalar non-metricity $Q_{\alpha \mu \nu}$ of the space-time is expressed in its standard Weyl form, and it is fully determined by a vector field $w_{\mu}$. The field equations of the…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Yixin Xu , Tiberiu Harko , Shahab Shahidi , Shi-Dong Liang

A complete theory of gravity impels us to go beyond Einstein's General Relativity. One promising approach lies in a new class of teleparallel theory of gravity named $f(Q)$, where the nonmetricity $Q$ is responsible for the gravitational…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Sanjay Mandal , P. K. Sahoo , J. R. L. Santos

In this paper, the G\"{o}del-type universes are examined within the framework of unimodular gravity. Since the existence of G\"{o}del solutions is intrinsically related to the presence of a cosmological constant in general relativity, one…

General Relativity and Quantum Cosmology · Physics 2025-06-16 R. Raimarda , A. F. Santos , R. Bufalo

In recent years, the modified theory of gravity known as $f(Q)$ gravity has drawn interest as a potential alternative to general relativity. According to this theory, the gravitational force is determined by a function of the so-called…

General Relativity and Quantum Cosmology · Physics 2024-03-13 Pooja Vishwakarma , Parth Shah

The $k$-essence modified $f(R)$ gravity model, i.e., $f(R,\phi,X)$ theory is studied. The question of violation of causality, in the framework of G\"{o}del-type universes, is investigated in this gravitational model. Causal and non-causal…

General Relativity and Quantum Cosmology · Physics 2021-02-17 J. S. Gonçalves , A. F. Santos

We investigate the cosmological implications of $f(Q)$ gravity, which is a modified theory of gravity based on non-metricity, in non-flat geometry. We perform a detailed dynamical-system analysis keeping the $f(Q)$ function completely…

General Relativity and Quantum Cosmology · Physics 2023-06-26 Hamid Shabani , Avik De , Tee-How Loo , Emmanuel N. Saridakis

In this paper, we consider some causality violating solutions in the curvature-squared gravity in order to examine whether closed timelike curves (CTCs) are allowed in these models. These aspects are studied in terms of the G\"odel,…

General Relativity and Quantum Cosmology · Physics 2026-05-13 J. C. R. de Souza , A. F. Santos , R. Bufalo

In this paper, we explore the model of $f(Q,T)$ gravity, an extension of symmetric teleparallel gravity where the nonmetricity scalar $Q$ is non-minimally coupled to the trace of the energy-momentum tensor $T$. To ensure general covariance…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Rahul Bhagat , Santosh V. Lohakare , B. Mishra

The Palatini $f(R,T)$ gravity theory is considered. The standard Einstein-Hilbert action is replaced by an arbitrary function of the Ricci scalar $R$ and of the trace $T$ of the energy-momentum tensor. In the Palatini approach, the Ricci…

General Relativity and Quantum Cosmology · Physics 2021-02-24 J. S. Gonçalves , A. F. Santos
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