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Weyl gravity in the presence of a non-minimal matter-curvature coupling is presented. Some properties arising from the non-metricity give rise to a second order theory whose vacuum is compatible with a cosmological constant, under…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Cláudio Gomes , Orfeu Bertolami

We consider a non-minimally coupled curvature-matter gravity model (NMC) with a Weyl connection, a theory referred to as non-minimally coupled Weyl connection gravity (NMCWCG). The Weyl connection is an affine connection that is not…

广义相对论与量子宇宙学 · 物理学 2020-03-30 Rodrigo Baptista , Orfeu Bertolami

The true nature of gravity is a remarkable open problem in Gravitation. Theoretical and observational motivations open the avenue of alternative theories of gravity. One possibility resorts to nonminimal couplings and non-metricity…

广义相对论与量子宇宙学 · 物理学 2025-08-05 Cláudio Gomes

Schwarzschild and Reissner-Nordstr{\o}m black hole solutions are found in the context of a non-minimal matter-curvature coupling with the Weyl connection, both in vacuum and in the presence of a cosmological constant-like matter content.…

广义相对论与量子宇宙学 · 物理学 2024-12-06 M. Margarida Lima , Cláudio Gomes

We explore a cosmological model in which dark matter is non-minimally coupled to gravity at the fluid level. While typically subdominant compared to Standard Model forces, such couplings may dominate dark matter dynamics. We show that this…

广义相对论与量子宇宙学 · 物理学 2025-10-14 Samuele Silveravalle , Andrea Lapi , Francesco Benetti , Stefano Liberati

A simple modification to Einstein's theory of gravity in terms of a non-Riemannian connection is examined. A new tensor-variational approach yields field equations that possess a covariance similar to the gauge covariance of…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Robin W Tucker , Charles Wang

We investigate the coupling of matter to geometry in conformal quadratic Weyl gravity, by assuming a coupling term of the form $L_m\tilde{R}^2$, where $L_m$ is the ordinary matter Lagrangian, and $\tilde{R}$ is the Weyl scalar. The coupling…

广义相对论与量子宇宙学 · 物理学 2022-03-30 Tiberiu Harko , Shahab Shahidi

We study black hole shadows in nonminimally coupled Weyl connection gravity, a metric-affine extension of general relativity in which spacetime is described by a metric and a Weyl vector field encoding non-metricity. Despite going beyond…

广义相对论与量子宇宙学 · 物理学 2026-03-10 Cláudio Gomes , Margarida Lima , Francisco S. N. Lobo , Luís F. D. da Silva

We study black hole solutions in an extension of General Relativity (GR) with an explicit non-minimal coupling between matter and curvature. General black hole solutions satisfying the known energy conditions are derived including the ones…

广义相对论与量子宇宙学 · 物理学 2015-10-07 Orfeu Bertolami , Mariano Cadoni , Andrea Porru

We study three astrophysical/cosmological consequences of nonminimal couplings to gravity in wavelike vector dark matter. In the nonrelativistic limit, the nonminimal coupling with the lowest mass dimension leads to effective…

宇宙学与河外天体物理 · 物理学 2023-08-02 Hong-Yi Zhang , Siyang Ling

Non-minimal couplings between matter and curvature tensors arise in many different contexts. Such couplings modify solutions of general relativity (GR) and therefore can be probed in various astrophysical systems. A particularly interesting…

广义相对论与量子宇宙学 · 物理学 2025-10-31 Stephon Alexander , Tatsuya Daniel , Tucker Manton

In this work we study the effects of non-minimal coupling between electromagnetism and gravity, which are motivated by quantum effects such as vacuum polarization. We investigate the modification of both asymptotically dipole and uniform…

广义相对论与量子宇宙学 · 物理学 2023-03-20 Kumar Ravi , Petar Pavlović , Andrey Saveliev

The coupling between matter fields and gravity, encoded in the geometry of spacetime, can be realized in various ways. Most commonly, a minimal coupling principle is employed, meaning that all matter fields, except spinors, couple only to…

广义相对论与量子宇宙学 · 物理学 2026-02-11 Sebastian Bahamonde , Jorge Maggiolo , Christian Pfeifer

We consider an extension of standard General Relativity in which the Hilbert-Einstein action is replaced by an arbitrary function of the Ricci scalar, nonmetricity, torsion, and the trace of the matter energy-momentum tensor. By…

广义相对论与量子宇宙学 · 物理学 2024-11-18 Tiberiu Harko , Nurgissa Myrzakulov , Ratbay Myrzakulov , Shahab Shahidi

In the framework of teleparallel equivalent of general relativity, we study a gravity theory where a scalar field beyond its minimal coupling, is also coupled with the vector torsion through a non-minimal derivative coupling. After a…

广义相对论与量子宇宙学 · 物理学 2016-12-14 Behnaz Fazlpour

We consider a model where a light scalar field (with mass $\lesssim 30\, {\rm eV}$), conjectured to be dark matter, has a non-minimal coupling to gravity. In the non-relativistic limit, this new coupling introduces a self-interaction term…

宇宙学与河外天体物理 · 物理学 2021-06-24 Lingyuan Ji

In this proceeding, we review modified theories of gravity with a curvature-matter coupling between an arbitrary function of the scalar curvature and the Lagrangian density of matter. This explicit nonminimal coupling induces a…

广义相对论与量子宇宙学 · 物理学 2022-09-20 Francisco S. N. Lobo , Tiberiu Harko

We investigate the cosmological applications of a bi-scalar modified gravity that exhibits partial conformal invariance, which could become full conformal invariance in the absence of the usual Einstein-Hilbert term and introducing…

广义相对论与量子宇宙学 · 物理学 2016-04-27 Emmanuel N. Saridakis , Minas Tsoukalas

Non-minimal couplings between the electromagnetic field strength and the spacetime curvature are part of the effective field theory of gravity and matter. They alter the local propagation of light in a significant way if the ratio of…

高能天体物理现象 · 物理学 2025-11-07 Raúl Carballo-Rubio , Héloïse Delaporte , Astrid Eichhorn , Pedro G. S. Fernandes

We propose a phenomenological model in which a non-minimal coupling between gravity and dark matter is present in order to address some of the apparent small scales issues of \lcdm model. When described in a frame in which gravity dynamics…

宇宙学与河外天体物理 · 物理学 2012-07-24 Dario Bettoni , Valeria Pettorino , Stefano Liberati , Carlo Baccigalupi
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