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The discovery of cosmic acceleration has raised the intriguing possibility that we are witnessing the first breakdown of General Relativity on cosmological scales. In this article I will briefly review current attempts to construct a…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Mark Trodden

Lecture notes on selected topics in the theory of gravitation.

General Relativity and Quantum Cosmology · Physics 2017-03-16 Pietro Menotti

We study systems in arbitrary space-time dimensions where matter, deformed by $\mathrm{T}\bar{\mathrm{T}}$-like irrelevant operators, is coupled to gravity in the Palatini formalism. The dynamically equivalent perspective is investigated,…

High Energy Physics - Theory · Physics 2024-06-27 Tommaso Morone , Stefano Negro , Roberto Tateo

A relation between the MacDowell-Mansouri theory of gravity and the Pontrjagin toplogical invariant in $(3+1)$ dimensions is discussed. This relation may be of especial interest in the quest of finding a mechanism to go from non-dynamical…

High Energy Physics - Theory · Physics 2009-07-22 M. Medina , J. A. Nieto

During the last five decades, gravity, as one of the fundamental forces of nature, has been formulated as a gauge theory of the Weyl-Cartan-Yang-Mills type. The present text offers commentaries on the articles from the most prominent…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Milutin Blagojević , Friedrich W. Hehl

We comment on some peculiarities of matter with and without Weyl invariance coupled to classical $2d$ Einstein-Hilbert gravity for several models, in particular, related to the counting of degrees of freedom and on the dynamics. We find…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Corinne de Lacroix , Harold Erbin

DGRAV News: DGRAV we hear that.... Research Briefs: GW150914 Obituaries: Remembering Felix Pirani Remembering David Finkelstein Steve, the physicist Remembering Sergio Dain Editorial: Gravitational physics in the modern university

General Relativity and Quantum Cosmology · Physics 2016-06-17 David Garfinkle

The advent of general relativity settled it once and for all that a theory of spacetime is inextricably linked to the theory of gravity. From the point of view of the gauge principle of Weyl and Yang-Mills-Utiyama, it became manifest around…

General Relativity and Quantum Cosmology · Physics 2014-05-06 Friedrich W. Hehl

We consider a new D=2 nonrelativistic classical mechanics model providing via the Noether theorem the (2+1)-Galilean symmetry algebra with two central charges: mass m and the coupling constant k of a Chern-Simons-like term. In this way we…

High Energy Physics - Theory · Physics 2009-10-30 Jerzy Lukierski , Peter C. Stichel , Wojtek J. Zakrzewski

We review Extended Theories of Gravity in metric and Palatini formalism pointing out their cosmological and astrophysical application. The aim is to propose an alternative approach to solve the puzzles connected to dark components.

Astrophysics · Physics 2008-11-26 Salvatore Capozziello , Mauro Francaviglia

One hundred years ago this year attempts began to generalise general relativity with the ambition of incorporating electromagnetism alongside gravitation in a unified field theory. These developments led to gauge theories and models with…

General Physics · Physics 2018-09-17 David J. Jackson

In seeking to arrive at a theory of ``quantum gravity'', one faces several choices among alternative approaches. I list some of these ``forks in the road'' and offer reasons for taking one alternative over the other. In particular, I…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rafael D. Sorkin

We present a spinfoam formulation of Lorentzian quantum General Relativity. The theory is based on a simple generalization of an Euclidean model defined in terms of a field theory over a group. The model is an extension of a recently…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alejandro Perez , Carlo Rovelli

In July/August last year, a group of 50 galactic astronomers convened at Dunk Island, Australia to celebrate Prof. Ken Freeman's 60th birthday. The overarching theme of the meeting reflected Ken's wish to understand ``the chain of events…

Astrophysics · Physics 2007-05-23 J. Bland-Hawthorn

We generalise Wesson's procedure, whereby vacuum $(4+1)-$dimensional field equations give rise to $(3+1)-$dimensional equations with sources, to arbitrary dimensions. We then employ this generalisation to relate the usual…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Steve Rippl , Carlos Romero , Reza Tavakol

This work presents instructive, yet comprehensive derivation of quantized gravity theories in relativistic, classical, and semi-classical spacetime structure based on the Poincar\'e, Galilean, and Bargmann algebra, respectively. The…

General Relativity and Quantum Cosmology · Physics 2021-12-30 K. N. Lian

Grand Unification of all forces has been a well motivated paradigm for particle physics. This subject has been recently revisited in the context of string theory, leading to a geometric reformulation of the idea of unification of forces.…

Mathematical Physics · Physics 2009-11-17 Cumrun Vafa

These notes, based on the remarks made at the 23 Solvay Conference, collect several speculative ideas concerning gauge/ strings duality, de Sitter spaces, dimensionality and the cosmological constant.

High Energy Physics - Theory · Physics 2007-05-23 A. M. Polyakov

We provide a rather extended introduction to the group field theory approach to quantum gravity, and the main ideas behind it. We present in some detail the GFT quantization of 3d Riemannian gravity, and discuss briefly the current status…

High Energy Physics - Theory · Physics 2011-10-26 Daniele Oriti

We reexamine and further develop different gravito-electromagnetic (GEM) analogies found in the literature, and clarify the connection between them. Special emphasis is placed in two exact physical analogies: the analogy based on inertial…

General Relativity and Quantum Cosmology · Physics 2014-10-28 L. Filipe O. Costa , José Natário