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In this work we look for a geometric description of non-gravitational forces. The basic ideas are proposed studying the interaction between a punctual particle and an electromagnetic external field. For this purpose, we introduce the…

General Relativity and Quantum Cosmology · Physics 2016-03-14 Omar Roldan , C. C. Barros

We develop a gauge theory of the combined gravitational-electromagnetic field by expanding the Poincar\'e group to include clock synchronization transformations. We show that the electromagnetic field can be interpreted as a local gauge…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Robert D. Bock

We formulate a new model which describes higher-spin gauge interactions for matter fields in two dimensions. This model is a higher-spin generalization of d2 gravity and turns out to be integrable. No vanishing higher-spin current…

High Energy Physics - Theory · Physics 2009-10-28 Mikhail Vasiliev

In our Solar system, spin-orbit coupling is a common phenomenon in binary asteroid systems, where the mutual orbits are no longer invariant due to exchange of angular momentum between translation and rotation. In this work, dynamical…

Earth and Planetary Astrophysics · Physics 2024-07-31 Hanlun Lei

The recent observation of gravitational waves, stimulates the question of the longtime evolution of the space-time fluctuations. Gravitational waves interact themselves through the nonlinear character of Einstein's equations of general…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Sergio Rica

In this study we prove that the Pauli interaction -- which is associated with a length parameter -- emerges when the minimal coupling recipe is applied to the non-degenerate version of the Dirac Lagrangian. The conventional Dirac Lagrangian…

General Relativity and Quantum Cosmology · Physics 2024-08-12 J. Struckmeier , D. Vasak , A. Redelbach , H. Stöcker

On the basis of the general principles of a gauge field theory the gauge theory for the Poincar\'{e}-Weyl group is constructed. It is shown that tetrads are not true gauge fields, but represent functions from true gauge fields: Lorentzian,…

High Energy Physics - Theory · Physics 2009-11-11 O. V. Babourova , B. N. Frolov , V. Ch. Zhukovsky

We derive the exact gravitational wave solutions in a general class of quadratic Poincar\'e gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion and the curvature, including…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Yuri N. Obukhov

The Kerr metric is one of the most important solutions to Einstein's field equations, describing the gravitational field outside a rotating black hole. We thoroughly analyze the curvature scalar invariants to study the Kerr spacetime by…

General Relativity and Quantum Cosmology · Physics 2013-10-10 Majd Abdelqader , Kayll Lake

The Kerr-Newman spinning particle displays some remarkable relations to the Dirac electron and has a reach spinor structure which is based on a twistorial description of the Kerr congruence determined by the Kerr theorem. We consider the…

High Energy Physics - Theory · Physics 2008-11-26 Alexander Burinskii

We investigate a quantum geometric space in the context of what could be considered an emerging effective theory from Quantum Gravity. Specifically we consider a two-parameter class of twisted Poincar\'e algebras, from which Lie-algebraic…

Mathematical Physics · Physics 2017-05-26 Cesar A. Aguillón , Albert Much , Marcos Rosenbaum , J. David Vergara

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

The symmetry properties of a proposal to go beyond relativistic quantum field theory based on a modification of the commutation relations of fields are identified. Poincar\'e invariance in an auxiliary spacetime is found in the Lagrangian…

High Energy Physics - Theory · Physics 2011-08-23 J. M. Carmona , J. L. Cortes , J. Indurain , D. Mazon

The Poincar\'e gauge theory (PGT) of gravity provides a viable formulation of general relativity (Einstein-Cartan theory), and a popular model-building framework for modified gravity with torsion. Notoriously, however, the PGT terms which…

High Energy Physics - Theory · Physics 2025-03-05 Will Barker , Michael Hobson , Anthony Lasenby , Yun-Cherng Lin , Zhiyuan Wei

Introductory lectures on higher-spin gauge theory given at 7 Aegean workshop on non-Einstein theories of gravity. The emphasis is on qualitative features of the higher-spin gauge theory and peculiarities of its space-time interpretation. In…

High Energy Physics - Theory · Physics 2015-06-19 M. A. Vasiliev

In the framework of causal perturbation theory we analyze the gauge structure of a massless self-interacting quantum tensor field. We look at this theory from a pure field theoretical point of view without assuming any geometrical aspect…

High Energy Physics - Theory · Physics 2007-05-23 G. Scharf , M. Wellmann

The problem of spinning and spin deviation equations for particles as defined by their microscopic effect has led many authors to revisit non-Riemannian geometry for being described torsion and its relation with the spin of elementary…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Magd E. Kahil

The paper studies spin-orbit interaction (i.e. the effect the spin has on the particle's trajectory in a magnetic field) as a model of quantum computation. The two-level spin quantum system is examined using the stochastic mechanics…

Mathematical Physics · Physics 2011-02-11 Gerasimos G. Rigatos

We discuss in a systematic way the gauge theory for a continuous spin particle proposed by Schuster and Toro. We show that it is naturally formulated in a cotangent bundle over Minkowski spacetime where the gauge field depends on the…

High Energy Physics - Theory · Physics 2017-08-02 Victor O. Rivelles

We derive general relativistic Gaussian equations for osculating elements for orbits under the influence of a perturbing force without any restrictions in an underlying Schwarzschild space-time. Such a formulation provides a way to describe…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Oleksii Yanchyshen , Eva Hackmann , Claus Lämmerzahl