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We propose a modification of Einstein-Cartan gravity equations. The modified cosmology departs from the standard model of cosmology for small Hubble parameter. A characteristic Hubble scale h0, which is intrinsically related to cosmological…

General Relativity and Quantum Cosmology · Physics 2015-07-21 Wei Lu

The minimal coupling principle is revisited under the quantum perspectives of the space-time symmetry. This revision is better realized on a Group Approach to Quantization (GAQ) where group cohomology and extensions of groups play a…

Mathematical Physics · Physics 2015-06-26 V. Aldaya , J. L. Jaramillo , J. Guerrero

With the exception of gravitation, the known fundamental interactions of Nature are mediated by gauge fields. A comparison of the candidate groups for a gauge theory possibly describing gravitation favours the Poincar\'e group as the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Aldrovandi , J. G. Pereira

We consider an extension of standard General Relativity in which the Hilbert-Einstein action is replaced by an arbitrary function of the Ricci scalar, nonmetricity, torsion, and the trace of the matter energy-momentum tensor. By…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Tiberiu Harko , Nurgissa Myrzakulov , Ratbay Myrzakulov , Shahab Shahidi

A formulation of Einstein gravity, analogous to that for gauge theory arising from the Chalmers-Siegel action, leads to a perturbation theory about an asymmetric weak coupling limit that treats positive and negative helicities differently.…

High Energy Physics - Theory · Physics 2009-11-11 M. Abou-Zeid , C. M. Hull

In this work, we construct the logical framework of the Poincar\'e gauge gravity cosmology based on five postulations, and introduce the modified redshift relation within this framework. Then we solve a system with quadratic action and some…

General Relativity and Quantum Cosmology · Physics 2017-03-03 Hongchao Zhang , Lixin Xu

A modified Einstein-Gauss-Bonnet gravity in four dimensions where the quadratic Gauss-Bonnet term is coupled to a scalar field is considered. The field equations of the model are obtained by variational methods by making use of the…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Hatice Özer , Ahmet Baykal , Özgür Delice

A new formalism for lattice gauge theory is developed that preserves Poincar\'e symmetry in a discrete universe. We define the $\mathbb{1}$-loop, a generalization of the Wilson loop that reformulates classical differential equations of…

High Energy Physics - Theory · Physics 2020-07-15 Alexander S. Glasser , Hong Qin

The Poincar\'e group can be interpreted as the group of isometries of a minkowskian space. This point of view suggests to consider the group of isometries of a given space as the suitable group to construct a gauge theory of gravity. We…

General Relativity and Quantum Cosmology · Physics 2014-11-20 J. Martin-Martin , A. Tiemblo

Following the approach of Grignani and Nardelli [1], we show how to cast the two-dimensional model $L \sim curv^2 + torsion^2 + cosm.const$ -- and in fact any theory of gravity -- into the form of a Poincare gauge theory. By means of the…

High Energy Physics - Theory · Physics 2009-10-22 Thomas Strobl

Fundamental quantum gravity theories are known to be notoriously difficult to extract viable testable predictions out of. In this paper, we aim to incorporate putative quantum corrections coming from loop quantum gravity in deriving…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Suddhasattwa Brahma , Michele Ronco , Giovanni Amelino-Camelia , Antonino Marciano

We have shown that two of the most studied models of lineal gravities - Liouville gravity and a ``string-inspired'' model exhibiting the main characteristic features of a black-hole solution - can be formulated as gauge invariant theories…

General Relativity and Quantum Cosmology · Physics 2009-10-22 G. Grignani , G. Nardelli

We study the coupling of fermions to Yang-Mills matrix models in the framework of emergent noncommutative gravity. It is shown that the matrix model action provides an appropriate coupling for fermions to gravity, albeit with a non-standard…

High Energy Physics - Theory · Physics 2010-02-16 Daniela Klammer , Harold Steinacker

We describe a minimal coupling of fermions and Yang Mills fields to the loop quantum gravity dynamics. The coupling takes a very simple form.

General Relativity and Quantum Cosmology · Physics 2013-11-01 Eugenio Bianchi , Muxin Han , Elena Magliaro , Claudio Perini , Carlo Rovelli , Wolfgang Wieland

We have combined perturbative unitarity and renormalisation group equation arguments in order to find a dynamical way to constrain the space of the gauge couplings ($g'_1$, $\widetilde{g}$) of the so-called "Minimal $Z'$ Models". We have…

High Energy Physics - Phenomenology · Physics 2015-03-19 Lorenzo Basso , Stefano Moretti , Giovanni Marco Pruna

The quantisation of gauge invariant systems usually proceeds through some gauge fixing procedure of one type or another. Typically for most cases, such gauge fixings are plagued by Gribov ambiguities, while it is only for an admissible…

High Energy Physics - Theory · Physics 2008-11-26 Victor M. Villanueva , Jan Govaerts , Jose-Luis Lucio-Martinez

A general form for the equation of motion for higher-curvature gravity is obtained. The interesting feature of the analysis is that it can handle Lagrangians which contain non-minimal kinetic scalar couplings. Certain subtle features, which…

General Relativity and Quantum Cosmology · Physics 2015-01-22 Saugata Chatterjee

It is shown that the currently studied ``string-inspired'' model for gravity on a line can be formulated as a gauge invariant theory based on the Poincar\'e group with central extension -- a formulation that complements and simplifies…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Roman Jackiw

In this paper we present original variational formulations of Yang-Mills, Einstein's gravitation and Kaluza-Klein theories, where, in the spirit of General Relativity, the principal bundle structure over the space-time is not fixed a priori…

Differential Geometry · Mathematics 2023-10-24 Frédéric Hélein

From the freedom exhibited by the generalized Einstein action proposed in [1], we show that we can construct the standard effective Einstein-Cartan action coupled to the fermionic matter without the usual current-current interaction and…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Meriem-Hadjer Lagraa , Mohammed Lagraa