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This paper offers an informal instructive introduction to some of the main notions of geometric continuum mechanics for the case of smooth fields. We use a metric invariant stress theory of continuum mechanics to formulate a simple…

Mathematical Physics · Physics 2023-12-14 Reuven Segev

Following the line of the history, if by one side the electromagnetic theory was consolidated on the 19th century, the emergence of the special and the general relativity theories on the 20th century opened possibilities of further…

General Physics · Physics 2019-11-14 Celso de Araujo Duarte

We consider the unification problem for the gravitational and electromagnetic interactions and its possible solution on the basis of the existence of an effective Riemannian space in nonlinear electrodynamics

General Relativity and Quantum Cosmology · Physics 2010-12-15 Alexander A. Chernitskii

The relationship between magnetoelectricity and electromagnetism is a subject of a strong interest and numerous discussions in microwave and optical wave physics and material sciences. The definition of the energy and momentum of the…

Materials Science · Physics 2020-04-22 E. O. Kamenetskii

The present paper proposes a basis for new gravitational mechanics. The problem of finding the spectrum of mass-energy is reduced to a new kind of eigenvalue problem which intrinsically contains the fundamental length ${\it l} =…

High Energy Physics - Theory · Physics 2009-10-19 Pawel O. Mazur

Using the weak field approximation, we can express the theory of general relativity in a Maxwell-type structure comparable to electromagnetism. We find that every electromagnetic field is coupled to a gravitoelectric and gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Tajmar , C. de Matos

Mass currents in astrophysics generate gravitomagnetic fields of enormous complexity. Gravitomagnetic helicity, in direct analogy with magnetic helicity, is a measure of entwining of the gravitomagnetic field lines. We discuss…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Donato Bini , Bahram Mashhoon , Yuri N. Obukhov

Selected topics related to the physics of the energy-momentum tensor (EMT) form factors are discussed. The topics are: 1) Fundamental mechanical properties of particles and gravity 2) Mechanical properties of non-spherical particles 3)…

High Energy Physics - Phenomenology · Physics 2018-12-18 Maxim V. Polyakov , Peter Schweitzer

We study various definitions of the gravitational field energy based on the usage of isometric embeddings in the Regge-Teitelboim approach. For the embedding theory we consider the coordinate translations on the surface as well as the…

General Relativity and Quantum Cosmology · Physics 2017-10-10 D. A. Grad , R. V. Ilin , S. A. Paston , A. A. Sheykin

The presence of a non-zero cosmological term in Einstein field equations can be interpreted as the physical possibility for preferred reference frames without breaking of general covariance. This possibility is used in the process of…

General Relativity and Quantum Cosmology · Physics 2009-08-11 Clovis Jacinto de Matos

We compare the nature of electromagnetic fields and of gravitational fields in linearized general relativity. We carry out this comparison both mathematically and visually. In particular the "lines of force" visualizations of…

General Relativity and Quantum Cosmology · Physics 2012-12-20 Richard H. Price , John W. Belcher , David A. Nichols

In this PhD thesis I make use of the "Effective Field Theory of Gravity for Extended Objects" by Goldberger and Rothstein in order to investigate theories of gravity and to take a different point of view on the physical information that can…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Umberto Cannella

The proposed temporal fluctuations model attempt for a unitary vision on gravity, electromagnetism and inertia. On obtain Newton law of gravitation and Coulomb law by starting from simple principles. On obtain too the main results of…

General Physics · Physics 2007-05-23 Viorel Drafta

The classical concept of "mass density" is not fundamental to the quantum theory of matter. Therefore, mass density cannot be the source of gravitation. Here, we treat electromagnetic energy, momentum, and stress as its source. The…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Kenneth Dalton

We study the variational principle over an Hilbert-Einstein like action for an extended geometry taking into account torsion and non-metricity. By extending the semi-Riemannian geometry, we obtain an effective energy-momentum tensor which…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Jesús Martín Romero , Mauricio Bellini , José Edgar Madriz Aguilar

It is shown that unification of gravity and electromagnetism can be achieved using an affine non-symmetric connection $\Gamma^\lambda_{\mu\nu} \neq \Gamma^\lambda_{\nu\mu}$ and $\Gamma_\mu = \Gamma^\lambda_{[\mu\lambda]}\neq 0$.…

General Relativity and Quantum Cosmology · Physics 2018-08-31 Partha Ghose

If gravitation and electromagnetism are both described in terms of a symmetric metric tensor, then the deflection of an electron beam by a charged sphere should be different from its deflection according to the Reissner-Nordstr\"om solution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Murat Özer

Quantum electrodynamics is the well-accepted theory. However, we feel it is useful to look at formalisms that provide alternative ways to describe light, because in the recent years the development of quantum field theories based primarily…

History and Philosophy of Physics · Physics 2007-05-23 Valeri V. Dvoeglazov

The energy of gravitational waves is a fundamental problem in gravity theory. The existing descriptions for the energy of gravitational waves, such as the well-known Isaacson energy-momentum tensor, suffer from several defects. Due to the…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Rong-Gen Cai , Xing-Yu Yang , Long Zhao

In the framework of the so-called gravitoelectromagnetic formalism, according to which the equations of the gravitational field can be written in analogy with classical electromagnetism, we study the gravitomagnetic field of a rotating…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Matteo Luca Ruggiero
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