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On the basis of an algebraic relation between torsion and a classical spinor field a new interpretation of Einstein-Cartan gravity interacting with classical spinor field is proposed. In this approach the spinor field becomes an auxiliary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Dzhunushaliev , D. Singleton

The direct interaction of the 4-rotational (Lorentzian) gauge field with the angular orbital momentum of an external field is considered. This interaction appears in a new Poincar\'{e} gauge theory of gravitation, in which tetrads are not…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Olga V. Babourova , Boris N. Frolov

We use recently developed effective field theory techniques to calculate the third order post-Newtonian correction to the spin-spin potential between two spinning objects. This correction represents the first contribution to the spin-spin…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rafael A. Porto , Ira Z. Rothstein

The equations of motion for the position and spin of a classical particle coupled to an external electromagnetic and gravitational potential are derived from an action principle. The constraints insuring a correct number of independent spin…

High Energy Physics - Theory · Physics 2009-10-22 Karl Yee , Myron Bander

In this work it is investigated if fermionic sources could be responsible for accelerated periods during the evolution of a universe where a matter field would answer for the decelerated period. The self-interaction potential of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. O. Ribas , F. P. Devecchi , G. M. Kremer

Using Einstein-Maxwell theory I investigate the gravitational field generated by an electric charge and a magnetic dipole, both held in fixed positions, but spinning with prescribed angular momenta. There is a conical singularity between…

General Relativity and Quantum Cosmology · Physics 2009-11-07 W. B. Bonnor

Gravitation theory meets spontaneous symmetry breaking when the structure group of the principal linear frame bundle $LX$ over a world manifold $X^4$ is reducible to the Lorentz group $SO(3,1)$. The physical underlying reason of this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Sardanashvily

The gravitational field with spin-2 is introduced naturally by the requirement that the Lagrangian is locally translation invariant in Minkowski spacetime. The interactions between the gravitational field and spin-1/2, 0, 1 matter fields…

General Relativity and Quantum Cosmology · Physics 2023-09-22 Hang Li , P. Wang

We consider a classical spinning particle in the frame of the relativistic physics by means of a covariant Hamiltonian and of a generalization of Poisson brackets which take into account the gauge fields. We obtain different equations of…

High Energy Physics - Theory · Physics 2007-05-23 A. Berard , J. Lages , H. Mohrbach

We investigate some cosmological models arising from a non-minimal coupling of a fermionic field to gravity in the geometrical setting of Einstein-Cartan-Sciama-Kibble gravity. The role played by the non-minimal coupling together with…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Stefano Vignolo , Sante Carloni , Luca Fabbri

In this letter, we discuss the extension of Feynman's derivation of the equation of motion to the case of spinning particles. We show that a spinning particle interacts only with the electromagnetic and gravitational fields. In the absence…

High Energy Physics - Theory · Physics 2009-10-22 Chihong Chou

Einstein's theory of general relativity and quantum theory form the two major pillars of modern physics. However, certain inertial properties of a particle's intrinsic spin are inconspicuous while the inertial properties of mass are well…

The local Lorentz group is introduced in flat space-time, where the resulting Dirac and Yang-Mills equations are found, and then generalized to curved space-time: if matter is neglected, the Lorentz connection is identified with the…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Orchidea Maria Lecian , Simone Mercuri , Giovanni Montani

In a recent paper we have analyzed the Spinor Theory of Gravity (STG) which is based on the intimate relation between Fermi (weak) interaction and gravity. We presented the hypothesis that the effect of matter upon the metric that…

General Relativity and Quantum Cosmology · Physics 2020-07-08 M. Novello , A. E. S. Hartmann

Beginning with a decomposition of the Newtonian field of gravity, I show that four classical color fields can be associated with the gravitational field. The meaning of color here is that these fields do not add up to yield the Newtonian…

General Physics · Physics 2017-01-25 S. B. Faruque

Based on the principle of reparametrization invariance, the general structure of physically relevant classical matter systems is illuminated within the Lagrangian framework. In a straightforward way, the matter Lagrangian contains…

Mathematical Physics · Physics 2021-04-23 V. G. Gueorguiev , Andre Maeder

In general relativity the fermions are treated from the perspective of the gauged Lorentz group and by introducing the corresponding gauge fields the spin connection. This procedure is intimately related to the so-called "vielbein"…

General Relativity and Quantum Cosmology · Physics 2020-04-23 Renata Jora

The f(R)-gravitational theory with torsion is considered for one family of leptons; it is found that the torsion tensor gives rise to interactions having the structure of the weak forces while the intrinsic non-linearity of the f(R)…

General Relativity and Quantum Cosmology · Physics 2012-02-29 Salvatore Capozziello , Mariafelicia De Laurentis , Luca Fabbri , Stefano Vignolo

Recently, table-top experiments involving massive quantum systems have been proposed to test the interface of quantum theory and gravity. In particular, the crucial point of the debate is whether it is possible to conclude anything on the…

Quantum Physics · Physics 2023-02-23 Thomas D. Galley , Flaminia Giacomini , John H. Selby

Quantum theory is formulated as a probabilistic theory on a flat Minkowski space-time, while general theory of relativity is formulated on a curved manifold as a geometric theory. Bohmian Quantum Gravity approach indicates that one need to…

General Physics · Physics 2018-10-31 Sijo K. Joseph