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We obtain the complete theory of Newton-Cartan gravity in a curved spacetime by considering the large $c$ limit of the vielbein formulation of General Relativity. Milne boosts originate from local Lorentzian transformations, and the special…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Marco Cariglia

The favored classical variables that are promoted to quantum operators are divided into three sets that feature constant positive curvatures, constant zero curvatures, as well as constant negative curvatures. This list covers the spin…

General Physics · Physics 2020-11-25 John R. Klauder

Affine gravity and the Palatini formalism contribute both to produce a simple and unique formula for calculating charges at spatial and null infinity for Lovelock type Lagrangians whose variational derivatives do not depend on second-order…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Joseph Katz , Gideon I. Livshits

It is shown that the Stelle-West Grignani-Nardelli-formalism allows, both when odd dimensions and when even dimensions are considered, constructing actions for higher dimensional gravity invariant under local Lorentz rotations and under…

General Relativity and Quantum Cosmology · Physics 2009-02-11 P. Salgado , M. Cataldo , S. del Campo

For spacetimes with the topology $\IR\!\times\!T^2$, the action of (2+1)-dimensional gravity with negative cosmological constant $\La$ is written uniquely in terms of the time-independent traces of holonomies around two intersecting…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip , J. E. Nelson

A starting point for the present work was the statement recently discussed in the literature that two Hamiltonian formulations for the theory of gravity, the one proposed by Dirac and the other by Arnowitt - Deser - Misner, may not be…

General Relativity and Quantum Cosmology · Physics 2011-03-07 T. P. Shestakova

We present the first formulation of the recently proposed $f(R,\mathcal{L}_m,T)$ theory of gravity within the Palatini formalism, a well-known alternative variational approach where the metric and connection are treated as independent…

General Relativity and Quantum Cosmology · Physics 2024-11-26 J. G. de Lima Júnior , P. H. R. S. Moraes , E. Brito , J. A. S. Fortunato

We argue that several statements in Phys. Rev. Lett. 124, 081301 (2020) are not correct.

General Relativity and Quantum Cosmology · Physics 2020-09-30 Julio Arrechea , Adrià Delhom , Alejandro Jiménez-Cano

Nowadays it is widely accepted that the evolution of the universe was driven by some scalar degrees of freedom both on its early stage and at present. The corresponding cosmological models often involve some scalar fields introduced ad hoc.…

High Energy Physics - Theory · Physics 2015-06-15 E. A. Davydov , A. T. Filippov

A covariant Hamiltonian description was introduced in the dynamics of charges and electromagnetic interaction. By a canonical transformation this Hamiltonian formalism was transformed to obtain the Dirac generators for any form of…

Mathematical Physics · Physics 2009-08-26 E. Piña

An instability in the presence of matter in theories of gravity which include a 1/R correction in the gravitational action has been found by Dolgov and Kawasaki. In the present paper this instability is discussed for f(R) gravity in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas P. Sotiriou

We construct postcarrollian gravity models in two, three, and four spacetime dimensions by applying algebraic expansion methods. As a byproduct, we present the most general postcarrollian 2d dilaton gravity model, construct its solutions…

High Energy Physics - Theory · Physics 2025-04-24 Florian Ecker , Daniel Grumiller , Patricio Salgado-Rebolledo

We review and systematize recent attempts to canonically quantize general relativity in 2+1 dimensions, defined on space-times $\R\times\Sigma^g$, where $\Sigma^g$ is a compact Riemann surface of genus $g$. The emphasis is on quantizations…

General Relativity and Quantum Cosmology · Physics 2010-11-01 R. Loll

The present article summarizes the work of the papers \cite{1} dealing with the quantization of pure gravity and gravity coupled to a Maxwell field and a cosmological constant in presence of spherical symmetry. The class of models presented…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Thiemann

In this review we present a thoroughly comprehensive survey of recent work on modified theories of gravity and their cosmological consequences. Amongst other things, we cover General Relativity, Scalar-Tensor, Einstein-Aether, and Bimetric…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Timothy Clifton , Pedro G. Ferreira , Antonio Padilla , Constantinos Skordis

Several alternative formulations of the first order approach to unimodular gravity are presented. There is always a particular one such that it is {\em classically} equivalent to the second order formulation; this we call {\em educated}. It…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Enrique Álvarez , Jesús Anero

GGR News: Message from the Chair, by Jim Isenberg Einstein@Home, by Bernard Schutz We hear that..., by Jorge Pullin 100 Years ago, by Jorge Pullin Research Briefs: What's new in LIGO, by David Shoemaker Frame-dragging in the news in 2004,…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Jorge Pullin

We shall here propose a class of relativistic theories of gravitation, based on a foundational paper of Ehlers Pirani and Schild (EPS).All "extended theories of gravitation" (also known as f(R) theories) in Palatini formalism are shown to…

General Relativity and Quantum Cosmology · Physics 2011-01-05 M. Di Mauro , L. Fatibene , M. Ferraris , M. Francaviglia

A class of scalar-tensor theories (STT) including a non-metricity that unifies metric, Palatini and hybrid metric-Palatini gravitational actions with non-minimal interaction is proposed and investigated from the point of view of their…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Andrzej Borowiec , Aleksander Kozak