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Related papers: Tensor-Tensor Theory of Gravitation

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If the Einstein-Hilbert action ${\cal L}_{\rm EH}\propto R$ is re-expressed in Riemann-Cartan spacetime using the gauge fields of translations, the vierbein field $h^\alpha{}_\mu$, and the gauge field of local Lorentz transformations, the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 H. Kleinert

A description of how a theory of gravity can be considered as a gauge theory (in the sense of Trautman) of the Poincare' group is given. As a result, it is shown that a gauge theory of this kind is consistent with the Equivalence Principle…

Differential Geometry · Mathematics 2010-01-07 A. Spiro , S. Tantucci

In the framework of the gauge theory based on the Poincar\'e symmetry group, the gravitational field is described in terms of the coframe and the local Lorentz connection. Considered as gauge field potentials, they give rise to the…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Yuri N. Obukhov

In the $\bar{\mbox{\rm Poincar\'{e}}}$ gauge theory of gravity, which has been formulated on the basis of a principal fiber bundle over the space-time manifold having the covering group of the proper orthochronous Poincar\'{e} group as the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Toshiharu Kawai

We formulate and explore the physical implications of a new translation gauge theory of gravity in flat space-time with a new Yang-Mills action, which involves quadratic gauge curvature and fermions. The theory shows that the presence of an…

General Relativity and Quantum Cosmology · Physics 2018-03-09 Jong-Ping Hsu

The theory starts from a tentative interpretation of gravity as Archimedes' thrust exerted on matter at the scale of elementary particles by an imagined perfect fluid ("ether"): the gravity acceleration is expressed by a formula in which…

General Physics · Physics 2007-09-05 Mayeul Arminjon

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

The relativistic theory of gravitation has the considerable difficulties by description of the gravitational field energy. Pseudotensor t00 in the some cases cannot be interpreted as energy density of the gravitational field. In [1] the…

General Relativity and Quantum Cosmology · Physics 2007-06-22 Roald Sosnovskiy

One of the greatest unsolved issues of the physics of this century is to find a quantum field theory of gravity. According to a vast amount of literature unification of quantum field theory and gravitation requires a gauge theory of gravity…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rainer W. Kuhne

In special-relativistic physics, spacetime is imbued with a fixed, non-dynamical metric tensor. A path to gravitational theory is to promote this tensor to a genuine dynamical field. An alternative description of special-relativistic…

General Relativity and Quantum Cosmology · Physics 2023-06-09 Tomi S Koivisto , Tom Zlosnik

In the gauge theory of gravity based on the Poincare group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy-momentum) and the spin are treated on an equal footing as the sources of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yuri N. Obukhov

In the framework of the teleparallel equivalent of general relativity it is possible to establish the energy-momentum tensor of the gravitational field. This tensor has the following essential features: (1) it is identified directly in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. W. Maluf

We investigate a linearized tensor-tensor theory of gravity with torsion and a perturbed torsion wave solution is discovered in background Minkowski spacetime with zero torsion. Furthermore, gauge transformations of any perturbed tensor…

General Relativity and Quantum Cosmology · Physics 2008-07-02 Chih-Hung Wang

The Standard Model of particle physics describes electromagnetic, weak, and strong interactions, which are three of the four known fundamental forces of nature. The unification of the fourth interaction, gravity, with the Standard Model has…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Mikko Partanen , Jukka Tulkki

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 review and extend the Gauge Vectors-Tensor gravity: a covariant theory of gravity composed of a metric and gauge fields, leading to simple second order partial differential equations of motion, whose Newtonian and strong limits coincide…

General Relativity and Quantum Cosmology · Physics 2014-06-03 Qasem Exirifard

In the context of Teleparallel Equivalent of General Relativity - TEGR - we have obtained, through the second kind gauge transformations, the most fundamental transformations, namely, the first kind ones. We show that considering the…

General Relativity and Quantum Cosmology · Physics 2012-10-02 Leandro R. A. Belo , Ednardo P. Spaniol , Juliano A. de Deus , Vanessa C. de Andrade

We discuss various proposals of separating a tensor field into pure-gauge and gauge-invariant components. Such tensor field decomposition is intimately related to the effort of identifying the real gravitational degrees of freedom out of…

General Relativity and Quantum Cosmology · Physics 2011-11-30 Xiang-Song Chen , Ben-Chao Zhu

A new classical theory of gravitation within the framework of general relativity is presented. It is based on a matrix formulation of four-dimensional Riemann-spaces and uses no artificial fields or adjustable parameters. The geometrical…

General Relativity and Quantum Cosmology · Physics 2011-03-24 Wolfgang Koehler

We consider the linearized nonsymmetric theory of gravitation (NGT) within the background of an expanding universe and near a Schwarzschild mass. We show that the theory always develops instabilities unless the linearized nonsymmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomas Janssen , Tomislav Prokopec