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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

The coupling of gravity to a scalar field raises a number of interesting questions of principle since the usual minimal coupling obtained by replacing ordinary derivatives with covariant derivatives is not available -- they are the same…

广义相对论与量子宇宙学 · 物理学 2011-10-26 Y. N. Srivastava , J. Swain , A. Widom

The coupling of gravity to matter is explored in the linearized gravity limit. The usual derivation of gravity-matter couplings within the quantum-field-theoretic framework is reviewed. A number of inconsistencies between this derivation of…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A. D. Speliotopoulos , Raymond Y. Chiao

We shall here consider extended theories of gravitation in the metric-affine formalism with matter coupled directly to the connection. A sufficiently general procedure will be exhibited to solve the resulting field equation associated to…

广义相对论与量子宇宙学 · 物理学 2011-01-05 L. Fatibene , M. Francaviglia , S. Mercadante

A new class of modified gravity theories, made possible by subtle features of the canonical formulation of general covariance, naturally allows MOND-like behavior (MOdified Newtonian Dynamics) in effective space-time solutions without…

广义相对论与量子宇宙学 · 物理学 2023-11-01 Martin Bojowald , Erick I. Duque

We consider the problem of finding a dual formulation of gravity in the presence of non-trivial matter couplings. In the absence of matter a dual graviton can be introduced only for linearised gravitational interactions. We show that the…

高能物理 - 理论 · 物理学 2009-01-16 Eric A. Bergshoeff , Mees de Roo , Sven F. Kerstan , Axel Kleinschmidt , Fabio Riccioni

Vacuum quasi-topological gravity with infinitely many terms in the action satisfies Markov's limiting curvature hypothesis: the spherically symmetric solutions are regular and all curvature invariants are bounded by solution-independent…

广义相对论与量子宇宙学 · 物理学 2026-03-12 Pablo Bueno , Robie A. Hennigar , Ángel J. Murcia , Aitor Vicente-Cano

We present a consistent and complete description of the coupling to matter in the Teleparallel Equivalent to General Relativity (TEGR) theory built from a Cartan connection, as we proposed in previous works. A first theorem allows us to…

广义相对论与量子宇宙学 · 物理学 2021-03-03 E. Huguet , M. Le Delliou , M. Fontanini , Z. -C. Lin

We attempt to construct a gravitational coupling by pre-selecting an energy-momentum tensor as the source for gravitational field. The energy-momentum tensor we take is a recently derived new expression motivated by joint localization of…

广义相对论与量子宇宙学 · 物理学 2017-02-10 Tao Lei , Zi-Wei Chen , Zhen-Lai Wang , Xiang-Song Chen

Among the recent extensions to standard General Relativity, $f(R,\mathcal{L}_m)$ gravity has risen an interest given the possibility of coupling between geometry and matter. We examine the simplest model with non-minimal coupling in the…

广义相对论与量子宇宙学 · 物理学 2024-08-02 Sergio Bravo Medina , Marek Nowakowski , Ronaldo V. Lobato , Davide Batic

Shape Dynamics is a metric theory of pure gravity, equivalent to General Relativity, but formulated as a gauge theory of spatial diffeomporphisms and local spatial conformal transformations. In this paper we extend the construction of Shape…

广义相对论与量子宇宙学 · 物理学 2012-05-24 Henrique Gomes , Tim Koslowski

We argue that a conformally invariant extension of general relativity coupled to the Standard Model is the fundamental theory that needs to be quantized. We show that it can be treated by loop quantum gravity techniques. Through a gauge…

广义相对论与量子宇宙学 · 物理学 2017-01-24 Miguel Campiglia , Rodolfo Gambini , Jorge Pullin

We study a theory which generalizes the nonminimal coupling of matter to gravity by including derivative couplings. This leads to several interesting new dynamical phenomena in cosmology. In particular, the range of parameters in which…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Luca Amendola

General relativity can be recast as a theory of connections by performing a canonical transformation on its phase space. In this form, its (kinematical) structure is closely related to that of Yang-Mills theory and topological field…

高能物理 - 理论 · 物理学 2008-02-03 Abhay Ashtekar

We investigate the possibility that the behavior of the rotational velocities of test particles gravitating around galaxies can be explained in the framework of modified gravity models with non-minimal matter-geometry coupling. Generally,…

广义相对论与量子宇宙学 · 物理学 2010-05-28 T. Harko

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

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

The geometrical formulation of gravity is not unique and can be set up in a variety of spacetimes. Even though the gravitational sector enjoys this freedom of different geometrical interpretations, consistent matter couplings have to be…

高能物理 - 理论 · 物理学 2020-05-04 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi Koivisto

A modified f(G) gravity model with coupling between matter and geometry is proposed, which is described by the product of the Lagrange density of the matter and an arbitrary function of the Gauss-Bonnet term. The field equations and the…

宇宙学与河外天体物理 · 物理学 2015-06-04 Yue-Yue Zhao , Ya-Bo Wu , Jianbo Lu , Zhuo Zhang , Wei-Li Han , Liang-Liang Ling

Einstein's General Relativity (GR) is possibly one of the greatest intellectual achievements ever conceived by the human mind. In fact, over the last century, GR has proven to be an extremely successful theory, with a well established…

广义相对论与量子宇宙学 · 物理学 2020-10-28 Tiberiu Harko , Francisco S. N. Lobo