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This work presents the dynamic properties of charged test particles influenced by the gravitational and electromagnetic fields. Accordingly, in this work, we concentrate on the static and axially symmetric metric containing two quadrupole…

High Energy Astrophysical Phenomena · Physics 2025-02-14 Shokoufe Faraji , Audrey Trova

We construct a unified framework of geometrodynamics based on the Finsler geometry to reveal the relationship between spacetime and dynamics.The Lagrangian of electron in electromagnetic field as the Finsler function gives the Finslerian…

Mathematical Physics · Physics 2026-01-13 Mingwei Zhou , Shi-Dong Liang

The framework for considering the astronomical and cosmological observations in the context of scalar-tensor quintessence in which the quintessence field also accounts for a time dependence of the gravitational constant is developed. The…

Astrophysics · Physics 2010-05-28 Alain Riazuelo , Jean-Philippe Uzan

We consider a class of modified gravity models where the terms added to the standard Einstein-Hilbert Lagrangian are just a function of the metric only. For linearized perturbations around an isotropic space-time, this class of models is…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Richard A. Battye , Jonathan A. Pearson

The suggested approach makes it possible to produce a consistent description of motions of a physical system. It is shown that the concept of force fields defining the systems dynamics is equivalent to the choice of the corresponding metric…

General Physics · Physics 2015-06-11 S. V. Siparov

We consider an interacting system of massless scalar and electromagnetic field, with the Lagrangian explicitly depending on the electromagnetic potentials, i.e., interaction with broken gauge invariance. The Lagrangian for interaction is…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Yu. P. Rybakov , G. N. Shikin , Yu. A. Popov , Bijan Saha

Scale invariant fluctuations of metric are universal feature of quantum gravity in de Sitter spacetime. We construct an effective Lagrangian which summarizes their implications on local physics by integrating super-horizon metric…

High Energy Physics - Theory · Physics 2017-02-01 Hiroyuki Kitamoto , Yoshihisa Kitazawa

This is the second paper in a series on the dynamics of matter fields in the causal set approach to quantum gravity. We start with the usual expression for the Lagrangian of a charged scalar field coupled to a SU(n) Yang-Mills field, in…

General Relativity and Quantum Cosmology · Physics 2008-07-15 Roman Sverdlov

Scalar-tensor theory has arbitrary functions of the scalar field in front of the geometric and scalar terms in the Lagrangain. The extent to which these arbitrary functions appear in the Wheeler-deWitt wavefunction of mini-super…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Mark D. Roberts

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting extending the metric formulation of linearized…

High Energy Physics - Theory · Physics 2021-02-24 Andrea Campoleoni

We review the implications of modern higher-dimensional theories of gravity for astrophysics and cosmology. In particular, we discuss the latest developments of space-time-matter theory in connection with dark matter, particle dynamics and…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Tomas Liko , James M. Overduin , Paul S. Wesson

In the interface between general relativity and relativistic quantum mechanics, we analyse rotating effects on the scalar field subject to a hard-wall confining potential. We consider three different scenarios of general relativity given by…

General Relativity and Quantum Cosmology · Physics 2018-03-06 R. L. L. Vitória , K. Bakke

This paper examines the structure of electric fields and space-times created by extended finite distributions of irrotational static and spherically-symmetric charge. The resulting electric fields are found to source features in space-time…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Erik W. Lentz

Geometric structure of spherically-symmetric space-time in metric-affine gauge theory of gravity is studied. Restrictions on curvature tensor and Bianchi identities are obtained. By using certain simple gravitational Lagrangian the solution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich , Yu. G. Vasilevski

The "dark energy" problem is investigated in the framework of the Poincare gauge theory of gravity in 4-dimensional Riemann-Cartan space-time. By using general expression for gravitational Lagrangian homogeneous isotropic cosmological…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich , A. S. Garkun , V. I. Kudin

In curved spacetime, Maxwell's equations can be expressed in forms valid in Minkowski background, with the effect of the metric (gravity) appearing as effective polarizations and magnetizations. The electric and magnetic (EM) fields depend…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Jai-chan Hwang , Hyerim Noh

We explore the scalar field obtained under the conformal transformation of the spacetime metric $g_{\mu\nu}$ from the Jordan frame to the Einstein frame in $f(R)$ gravity. This scalar field is the result of the modification in the…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Bal Krishna Yadav , Murli Manohar Verma

Relativistic quantum effects on physical observables of scalar charged particles are studied. Possible peculiarities of their behavior that can be verified in an experiment can confirm several fundamental conceptions of quantum mechanics.…

Quantum Physics · Physics 2007-05-23 B. I. Lev , A. A. Semenov , C. V. Usenko

We study higher dimensional scenarios of massive bigravity, which is a very interesting extension of nonlinear massive gravity since its reference metric is assumed to be full dynamical. In particular, the Einstein field equations along…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tuan Q. Do

The behaviour of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string spacetime is discussed. It is considered two possible scenarios of the Lorentz…

High Energy Physics - Theory · Physics 2016-03-16 H. Belich , K. Bakke