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We discuss some general characteristics of modifications of the 4D Einstein-Hilbert action that become important for low space-time curvatures. In particular we focus on the chameleon-like behaviour of the massive gravitational degrees of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 I. Navarro , K. Van Acoleyen

We consider a modified form of gravity, which has an extra term quadratic in the Riemann tensor. This term mimics a Yang-Mills theory. The other defining characteristic of this gravity is having the affine connection independent of the…

广义相对论与量子宇宙学 · 物理学 2008-08-05 M. Chaves

In these lectures I review the status of gravity from the point of view of the gauge principle and renormalization, the main tools in the toolbox of theoretical particle physics. In the first lecture I start from the old question "in what…

高能物理 - 理论 · 物理学 2014-11-20 R. Percacci

The Becchi-Rouet-Stora-Tyutin (BRST) transformations and equations of motion of a gravity-two-form-dilaton system are derived from the product of two Yang-Mills theories in a BRST covariant form, to linear approximation. The inclusion of…

高能物理 - 理论 · 物理学 2020-06-04 A. Anastasiou , L. Borsten , M. J. Duff , S. Nagy , M. Zoccali

This thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of General Relativity. The motivation for considering such theories, stemming from Cosmology, High Energy Physics and…

广义相对论与量子宇宙学 · 物理学 2011-11-10 Thomas P. Sotiriou

We consider a maximal extension of the Hilbert-Einstein action and analyze several interesting features of the theory. More specifically, the motion is non-geodesic and takes place in the presence of an extra force. These models could lead…

广义相对论与量子宇宙学 · 物理学 2012-11-05 Francisco S. N. Lobo , Tiberiu Harko

We consider metric f(R) theories of gravity without mapping them to their scalar-tensor counterpart, but using the Ricci scalar itself as an "extra" degree of freedom. This approach avoids then the introduction of a scalar-field potential…

广义相对论与量子宇宙学 · 物理学 2011-02-15 Luisa G. Jaime , Leonardo Patino , Marcelo Salgado

We consider the recently introduced mimetic gravity, which is a Weyl-symmetric extension of the General Relativity and which can play a role of an imperfect fluid-like Dark Matter with a small sound speed. In this paper we discuss in…

广义相对论与量子宇宙学 · 物理学 2015-12-31 Katrin Hammer , Alexander Vikman

We consider a simpler geometrical formulation of General Relativity based on non-metricity, known as Coincident General Relativity. We study the ADM formulation of the theory and perform a detailed Hamiltonian analysis. We explicitly show…

广义相对论与量子宇宙学 · 物理学 2020-07-09 Fabio D'Ambrosio , Mudit Garg , Lavinia Heisenberg , Stefan Zentarra

We consider the scalar mode of gravity as expressed by a conformal factor of the metric and present a model motivated by the Jordan-Brans-Dicke action. The reduced action provides a Lagrangian density in Minkowski space which exhibits a…

广义相对论与量子宇宙学 · 物理学 2022-05-18 Metin Arik , Tarik Tok

Infinite derivative theory of gravity is a modification to the general theory of relativity. Such modification maintains the massless graviton as the only true physical degree of freedom and avoids ghosts. Moreover, this class of modified…

广义相对论与量子宇宙学 · 物理学 2018-11-27 Ali Teimouri

The observer's frame is the more elementary description of the gravitational field than the metric. The most general covariant, even-parity quadratic form for the frame field in arbitrary dimension generalises the New General Relativity by…

广义相对论与量子宇宙学 · 物理学 2018-10-30 Tomi Koivisto , Georgios Tsimperis

We present a generally-covariant and parity-invariant "zwei-dreibein" action for gravity in three space-time dimensions that propagates two massive spin-2 modes, unitarily, and we use Hamiltonian methods to confirm the absence of unphysical…

高能物理 - 理论 · 物理学 2013-12-18 Eric A. Bergshoeff , Sjoerd de Haan , Olaf Hohm , Wout Merbis , Paul K. Townsend

The extended phase space method of Batalin, Fradkin and Vilkovisky is applied to formulate two dimensional gravity in a general class of gauges. A BRST formulation of the light-cone gauge is presented to reveal the relationship between the…

高能物理 - 理论 · 物理学 2015-06-26 T. Fujiwara , T. Tabei , Y. Igarashi , K. Maeda , J. Kubo

General Relativity can be reformulated as a diffeomorphism invariant gauge theory of the Lorentz group, with Lagrangian of the type $f(F\wedge F)$, where $F$ is the curvature 2-form of the spin connection. A theory from this class with a…

广义相对论与量子宇宙学 · 物理学 2021-10-04 Kirill Krasnov , Ermis Mitsou

We discuss the renormalization group in the context of gravitational theories with independent metric and affine connection. Considering a class of theories with both propagating torsion and nonmetricity, we perform an explicit computation…

高能物理 - 理论 · 物理学 2024-06-21 Oleg Melichev

Within the general framework of $f(R)$ gravity, we introduce a function of the electromagnetic curvature invariant $f(\mathbb{F})$ that couples minimally to gravitation to ensure a consistent treatment of curvature functions in these…

广义相对论与量子宇宙学 · 物理学 2026-03-19 Francesco Bajardi , Micol Benetti , Salvatore Capozziello , Abedennour Dib

Recently the so-called mimetic gravity approach has been used to obtain corrections to Friedmann equation of General Relativity similar to the ones present in loop quantum cosmology. In this paper, we propose an alternative way to derive…

广义相对论与量子宇宙学 · 物理学 2017-09-06 Stefano Chinaglia , Aimeric Colleaux , Sergio Zerbini

Spin foam models of quantum gravity are based on Plebanski's formulation of general relativity as a constrained BF theory. We give an alternative formulation of gravity as BF theory plus a certain potential term for the B-field. When the…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Kirill Krasnov

We present a scale-invariant theory, conformal gravity, which closely resembles the geometrodynamical formulation of general relativity (GR). While previous attempts to create scale-invariant theories of gravity have been based on Weyl's…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Edward Anderson , Julian Barbour , Brendan Foster , Niall O'Murchadha