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New Massive Gravity provides a non-linear extension of the Fierz-Pauli mass for gravitons in 2+1 dimensions. Here we construct a Weyl invariant version of this theory. When the Weyl symmetry is broken, the graviton gets a mass in analogy…

High Energy Physics - Theory · Physics 2011-08-09 Suat Dengiz , Bayram Tekin

In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein's celebrated energy-mass relation E=mc^2 is commonly derived from that fact. By contrast, in Newtonian mechanics…

Classical Physics · Physics 2015-05-30 Anatoli Babin , Alexander Figotin

The concept of mass is central to any theory of gravity. Nevertheless, defining mass in general relativity is a difficult task, and even when it can be accomplished, we still need to investigate whether the typical properties of mass in…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Níckolas de Aguiar Alves , Bruno Arderucio Costa

The Standard Model (SM) ascribes the observed mass of elementary particles to an effective interaction between basis states defined without mass terms and a scalar potential associated with the Higgs boson. In the relativistic field theory…

General Physics · Physics 2022-02-01 M. Land

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

General Relativity and Quantum Cosmology · Physics 2009-05-26 T. Harko

We reformulate the quantization of the gravitational field and its sources, including the electric and magnetic fields as they appear in the knot algebra.

High Energy Physics - Theory · Physics 2020-05-11 Robert J. Finkelstein

Special relativity theory is well established and confirmed by experiments. This research establishes an operational measurement way to express the great theory in a geometrical form. This may be valuable for understanding the underlying…

General Physics · Physics 2007-05-23 Xiao Jianhua

There are two long-range forces in the Universe, electromagnetism and gravity.We have found a general expression for the energy of interaction in these cases alphaXhbarXc/r, where alpha is the fine structure constant and r is the distance…

General Physics · Physics 2016-08-18 Voicu Dolocan

A gravitational field can be seen as the anholonomy of the tetrad fields. This is more explicit in the teleparallel approach, in which the gravitational field-strength is the torsion of the ensuing Weitzenboeck connection. In a tetrad…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Aldrovandi , P. B. Barros , J. G. Pereira

The main objective of this article is to derive a new set of gravitational field equations and to establish a new unified theory for dark energy and dark matter. The new gravitational field equations with scalar potential $\varphi$ are…

General Physics · Physics 2013-08-20 Tian Ma , Shouhong Wang

We study the effect of the slab topology $T\times R\times R$ of the Universe on the form of gravitational potentials and forces created by point-like masses. We obtain two alternative forms of solutions: one is based on the Fourier series…

General Relativity and Quantum Cosmology · Physics 2021-12-30 M. Eingorn , N. O'Briant , K. Arzu , M. Brilenkov , A. Zhuk

Several attempts to construct theories of gravity with variable mass are considered. The theoretical impacts of allowing the rest mass to vary with respect to time or an appropriate curve parameter are examined in the framework of Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Leclerc

It has been shown in the past century that the particle inertia against velocity change has increased at higher velocity values. This increase has been predicted in principle in the framework of special theory of relativity. However, any…

General Physics · Physics 2017-12-05 Milos V. Lokajicek , Jiri Prochazka

The relationship between the classical and quantum theories of gravity is reexamined. The value of the gravitational potential defined with the help of the two-particle scattering amplitudes is shown to be in disagreement with the classical…

High Energy Physics - Theory · Physics 2009-10-31 Kirill A. Kazakov

This essay discusses some geometric effects associated with gravitomagnetic fields and gravitomagnetic charge as well as the gravity theory of the latter. Gravitomagnetic charge is the duality of gravitoelectric charge (mass) and is…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Jian Qi Shen

In the light of intriguing results of C.C.Barros, we investigate in this thesis the possibilities of geometrical interpretation of all the fundamental interactions in order to unify them. More exactly we try to supply a unified geometrical…

General Relativity and Quantum Cosmology · Physics 2014-03-20 Abdelmoumene Belabbas

Motivated by recent works on the origin of inertial mass, we revisit the relationship between the mass of charged particles and zero-point electromagnetic fields. To this end we first introduce a simple model comprising a scalar field…

High Energy Physics - Theory · Physics 2007-05-23 Giovanni Modanese

We derive the equations for the odd and even parity perturbations of coupled electromagnetic and gravitational fields of a black hole with an electric charge within the context of general nonlinear electrodynamics. The Lagrangian density is…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Ramin G. Daghigh , Michael D. Green

The paper investigates the influences of the helicity on the gravitational mass density, the field source, the charge continuity equation, and the mass continuity equation etc in the electromagnetic field and gravitational field. By means…

General Physics · Physics 2011-01-18 Zi-Hua Weng

The equivalence principle in combination with the special relativistic equivalence between mass and energy, $E=mc^2$, is one of the cornerstones of general relativity. However, for composite systems a long-standing result in general…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Magdalena Zych , Łukasz Rudnicki , Igor Pikovski