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Loop Quantum Gravity is a background independent, nonperturbative approach to the quantization of General Relativity. Its application to models of interest in cosmology and astrophysics, known as Loop Quantum Cosmology, has led to new and…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Guillermo A. Mena Marugan

In the 1960's, Mandelstam proposed a new approach to gauge theories and gravity based on loops. The program for gauge theories was completed for Yang--Mills theories by Gambini and Trias in the 1980's. Gauge theories could be understood as…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Rodolfo Gambini , Jorge Pullin

This paper is based on a talk presented by the first author at the Short Program on Riemannian Geometry that took place at the Centre de Recherche Math\'ematiques, Universit\'e de Montr\'eal, during the period June 28-July 16, 2004. It is a…

Differential Geometry · Mathematics 2008-01-17 Charles P. Boyer , Krzysztof Galicki

A hundred years ago, two British expeditions measured the deflection of starlight by the sun's gravitational field, confirming the prediction made by Einstein's General theory of Relativity. One hundred years later many physicists around…

History and Philosophy of Physics · Physics 2020-01-15 Jorge L. Cervantes-Cota , Salvador Galindo-Uribarri , George F. Smoot

Historians recently rehabilitated Einstein's "physical strategy" for General Relativity (GR). Independently, particle physicists similarly re-derived Einstein's equations for a massless spin 2 field. But why not a light \emph{massive} spin…

History and Philosophy of Physics · Physics 2019-10-01 J. Brian Pitts

This is the first paper in a series devoted to understanding the classical and quantum nature of edge modes and symmetries in gravitational systems. The goal of this analysis is to: i) achieve a clear understanding of how different…

High Energy Physics - Theory · Physics 2020-12-02 Laurent Freidel , Marc Geiller , Daniele Pranzetti

An outstanding open issue in our quest for physics beyond Einstein is the unification of general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading approach toward this goal. At its heart is the central lesson of…

General Relativity and Quantum Cosmology · Physics 2021-04-12 Abhay Ashtekar , Eugenio Bianchi

The recent observation of gravitational waves, stimulates the question of the longtime evolution of the space-time fluctuations. Gravitational waves interact themselves through the nonlinear character of Einstein's equations of general…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Sergio Rica

Modifications of Einstein's theory of gravitation have been extensively considered in the past years, in connection to both cosmology and quantum gravity. Higher-curvature and higher-derivative gravity theories constitute the main examples…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Alessio Belenchia , Marco Letizia , Stefano Liberati , Eolo Di Casola

There exists some confusion, as evidenced in the literature, regarding the nature of the gravitational field in Einstein's General Theory of Relativity. It is argued here the this confusion is a result of a change in interpretation of the…

General Physics · Physics 2007-05-23 Peter M. Brown

A chapter contribution to book: "Handbook of Spin Transport and Magnetism", ed. by Evegeny Y. Tsymbal and Igor Zutic (Chapman & Hall/CRC, 2011) http://www.crcpress.com/product/isbn/9781439803776 .

Mesoscale and Nanoscale Physics · Physics 2011-09-01 J. Fabian , M. W. Wu

The identification of a suitable gravitational energy in theories of gravity has a long history, and it is well known that a unique answer cannot be given. In the first part of this paper we present a streamlined version of the derivation…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Christian G. Boehmer , Friedrich W. Hehl

Teleparallel gravity, a gauge theory for the translation group, turns up as fully equivalent to Einstein's general relativity. In spite of this equivalence, it provides a whole new insight into gravitation. It breaks several paradigms…

General Relativity and Quantum Cosmology · Physics 2015-06-15 J. G. Pereira

Introductory lectures on higher-spin gauge theory given at 7 Aegean workshop on non-Einstein theories of gravity. The emphasis is on qualitative features of the higher-spin gauge theory and peculiarities of its space-time interpretation. In…

High Energy Physics - Theory · Physics 2015-06-19 M. A. Vasiliev

An apparent paradox in Einstein's Special Theory of Relativity, known as a Thomas precession rotation in atomic physics, has been verified experimentally in a number of ways. However, somewhat surprisingly, it has not yet been demonstrated…

General Relativity and Quantum Cosmology · Physics 2020-07-30 Christian P. H. Salas

We study gravitational waves emitted by a binary system of non-spinning bodies in a quasi-circular inspiral within the framework of Einstein-aether theory. In particular, we compute explicitly and analytically the expressions for the…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Chao Zhang , Xiang Zhao , Anzhong Wang , Bin Wang , Kent Yagi , Nicolas Yunes , Wen Zhao , Tao Zhu

Scalar fields have had a long and controversial life in gravity theories, having progressed through many deaths and resurrections. The first scientific gravity theory, Newton's, was that of a scalar potential field, so it was natural for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carl H. Brans

We give an overview of literature related to J\"urgen Ehlers' pioneering 1981 paper on Frame theory--a theoretical framework for the unification of General Relativity and the equations of classical Newtonian gravitation. This unification…

General Relativity and Quantum Cosmology · Physics 2020-01-28 Thomas Buchert , Thomas Mädler

Contents: *News: Topical group news, by Jim Isenberg April 1997 Joint APS/AAPT Meeting, GTG program, by Abhay Ashtekar Formation of the Gravitational-Wave International Committee, by Sam Finn The 1997 Xanthopoulos award, by Abhay Asthekar…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jorge Pullin

The main purpose of this article is to provide a guide to theorems on global properties of solutions to the Einstein--Vlasov system. This system couples Einstein's equations to a kinetic matter model. Kinetic theory has been an important…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Håkan Andréasson