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By considering matter as a constraint on the availability of gravitational degrees of freedom and accounting for the statistical interpretation of Rindler horizons, the freedom to construct quantum gravity theories reproducing General…

General Physics · Physics 2019-01-25 P. A. Mandrin

Cosmological observations are beginning to reach a level of precision that allow us to test some of the most fundamental assumptions in our working model of the Universe. One such an assumption is that gravity is governed by the General…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-11 Pedro G. Ferreira

Concepts like peculiar velocity, gravitational force, and power spectrum and their interrelationships are of utmost importance in the theories of structure formation. The observational implementation of these concepts is usually based on…

Astrophysics · Physics 2009-10-31 Reza Mansouri , Sohrab Rahvar

We add some comments to our old paper \cite{F-U} where the metric tensor was introduced as the gauge theory of general coordinate transformation. This formulation is more satisfactorily completed than the original one if it is required to…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Takeshi Fukuyama

We study the behavior of a general gravitational action, including quadratic terms in the curvature, supplemented by a compact scalar field in 4+1 dimensions. The generalized Einstein equation for this system admits solutions which are…

High Energy Physics - Theory · Physics 2009-10-31 Hael Collins , Bob Holdom

Cosmological simulations involving the fully covariant gravitational dynamics may prove relevant in understanding relativistic/non-linear features and, therefore, in taking better advantage of the upcoming large scale structure survey data.…

General Relativity and Quantum Cosmology · Physics 2017-11-15 David Daverio , Yves Dirian , Ermis Mitsou

The set of 10 covariant vector fields is taken as basic variables to describe the gravitational field. Metric $ g_{\mu\nu} $ is a composite field. A possibility for the gravitational constant to be described as a condensate of additional…

High Energy Physics - Theory · Physics 2009-11-16 L. D. Faddeev

In order to illustrate a recently derived covariant formalism for computing asymptotic symmetries and asymptotically conserved superpotentials in gauge theories, the case of gravity with minimally coupled scalar fields is considered and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Glenn Barnich

We compute the parametrized post-Newtonian parameter $\gamma$ in the case of a static point source for multiscalar-tensor gravity with completely general nonderivative couplings and potential in the Jordan frame. Similarly to the single…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Manuel Hohmann , Laur Jarv , Piret Kuusk , Erik Randla , Ott Vilson

Uniform fields are one of the simplest and most pedagogically useful examples in introductory courses on electrostatics or Newtonian gravity. In general relativity there have been several proposals as to what constitutes a uniform field. In…

Physics Education · Physics 2008-11-26 Preston Jones , Gerardo Munoz , Michael Ragsdale , Douglas Singleton

The quantum field theoretic description of general relativity is a modern approach to gravity where gravitational force is carried by spin-2 gravitons. In the classical limit of this theory, general relativity as described by the Einstein…

High Energy Physics - Theory · Physics 2020-10-20 Gustav Uhre Jakobsen

The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2011-05-05 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre' , T. Magri

General covariance is a crucial notion in the study of field theories in curved spacetime. A field theory defined with respect to a semi-Riemannian metric is generally covariant if two metrics which are related by a diffeomorphism produce…

Mathematical Physics · Physics 2023-02-21 Filip Dul

This article derives and presents the Feynman rules for (effective) Quantum General Relativity coupled to the Standard Model for any vertex valence and with general gauge parameter $\zeta$. The results are worked out for the metric…

High Energy Physics - Theory · Physics 2021-11-08 David Prinz

Relatively simple algebraic relations are presented corresponding to Pachner moves 3 -> 3 and 2 <-> 4, thus providing two thirds of the foundation for a four-dimensional topological quantum field theory. These relations are written in terms…

Mathematical Physics · Physics 2009-11-10 I. G. Korepanov

Gauge fields associated to the Dirac matrix algebra used with the standard quadratic gauge field Lagrangian lead to an extended gravitational Lagrangian which includes the Einstein-Hilbert one, plus quadratic, cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2016-02-08 Jean Pierre Pansart

The groupoid approach to noncommutative unification of general relativity with quantum mechanics is compared with the canonical gravity quantization. It is shown that by restricting the corresponding noncommutative algebra to its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Heller , W. Sasin

The simplest variant of gauge gravitation theory in Riemann-Cartan spacetime leading to the solution of the problem of cosmological singularity and dark energy problem is investigated. It is shown that this theory by certain restrictions on…

General Relativity and Quantum Cosmology · Physics 2017-12-06 A. V. Minkevich

We study dimensional reductions of noncommutative electrodynamics on flat space which lead to gauge theories of gravitation. For a general class of such reductions, we show that the noncommutative gauge fields naturally yield a Weitzenbock…

High Energy Physics - Theory · Physics 2009-11-07 Edwin Langmann , Richard J. Szabo

We introduce in the framework of the linear approximation of General relativity a natural distinction between General gauge transformations generated by any vector field and those Special ones for which this vector field is a gradient. This…

General Relativity and Quantum Cosmology · Physics 2007-06-23 Ll. Bel