The preferred null symmetries of a null electromagnetic field interacting with a null free gravitational field

1984 ◽  
Vol 23 (5) ◽  
pp. 395-406
Author(s):  
L. Radhakrishna ◽  
S. P. Gumaste
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Null Electromagnetic Field

Self-conjugate gravitational fields. I

1963 ◽  
Vol 275 (1361) ◽  
pp. 245-256 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Flat Space ◽  
Space Time ◽  
Second Order ◽  
Necessary Condition ◽  
Tensor Form ◽  
Gravitational Fields ◽  
Null Electromagnetic Field ◽  
Scalar Invariants

By splitting the curvature tensor R hijk into three 3-tensors of the second rank in a normal co-ordinate system, self-conjugate empty gravitational fields are defined in a manner analogous to that of the electromagnetic field. This formalism leads to three different types of self-conjugate gravitational fields, herein termed as types A, B and C . The condition that the gravitational field be self-conjugate of type A is expressed in a tensor form. It is shown that in such a field R hijk is propagated with the fundamental velocity and all the fourteen scalar invariants of the second order vanish. The structure of R hijk defines a null vector which can be identified as the vector defining the propagation of gravitational waves. It is found that a necessary condition for an empty gravitational field to be continued with a flat space-time across a null 3-space is that the field be self-conjugate of type A. The concept of the self-conjugate gravitational field is extended to the case when R ij # 0 but the scalar curvature R is zero. The condition in this case is also expressed in a tensor form. The necessary conditions that the space-time of an electromagnetic field be continued with an empty gravitational field or a flat space-time across a 3-space have been obtained. It is shown that for a null electromagnetic field whose gravitational field is self-conjugate of type A , all the fourteen scalar invariants of the second order vanish.

scholarly journals The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Kerr–Newman Solution

Galaxies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 18
Author(s):  
Alexander Burinskii
Keyword(s):  
Electromagnetic Field ◽  
Quantum Theory ◽  
Gravitational Field ◽  
Dirac Equation ◽  
Higgs Field ◽  
Vacuum State ◽  
Relativistic String ◽  
Dirac Equations ◽  
Dirac Electron ◽  
Relativistic Scattering

The Dirac electron is considered as a particle-like solution consistent with its own Kerr–Newman (KN) gravitational field. In our previous works we considered the regularized by López KN solution as a bag-like soliton model formed from the Higgs field in a supersymmetric vacuum state. This bag takes the shape of a thin superconducting disk coupled with circular string placed along its perimeter. Using the unique features of the Kerr–Schild coordinate system, which linearizes Dirac equation in KN space, we obtain the solution of the Dirac equations consistent with the KN gravitational and electromagnetic field, and show that the corresponding solution takes the form of a massless relativistic string. Obvious parallelism with Heisenberg and Schrödinger pictures of quantum theory explains remarkable features of the electron in its interaction with gravity and in the relativistic scattering processes.

The influence of the classical homogenous gravitational field on interaction of a three-level atom with a single mode cavity field

2015 ◽  
Vol 29 (29) ◽  
pp. 1550175 ◽  
Author(s):  
N. H. Abd El-Wahab ◽  
Ahmed Salah
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Photon Number ◽  
Single Mode ◽  
Temporal Behavior ◽  
Cavity Field ◽  
Text Type ◽  
Level Atom ◽  
The Mean ◽  
Single Mode Cavity

We study the interaction between a single mode electromagnetic field and a three-level [Formula: see text]-type atom in the presence of a classical homogenous gravitational field when the atom is prepared initially in the momentum eigenstate. The model includes the detuning parameters and the classical homogenous gravitational field. The wave function is calculated by using the Schrödinger equation for a coherent electromagnetic field and an atom is in its excited state. The influence of the detuning parameter and the classical homogenous gravitational field on the temporal behavior of the mean photon number, the normalized second-order correlation function and the normal squeezing is analyzed. The results show that the presence of these parameters has an important effect on these phenomena. The conclusion is reached and some features are given.

XI.—Electromagnetic Phenomena in a Uniform Gravitational Field

1932 ◽  
Vol 51 ◽  
pp. 71-79 ◽  
Author(s):  
D. Meksyn
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Suitable Choice ◽  
Fundamental Tensor

In two recent papers Professor E. T. Whittaker has solved the electromagnetic equations for the case of a uniform gravitational field. The fundamental tensor associated with such a field makes the Riemannian tensor vanish, since such a field can be transformed away by a suitable choice of coordinates. This property enables us to find the electromagnetic field in a uniform gravitational field without solving Maxwell's equations, but by a mere transformation of co-ordinates.

scholarly journals Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 160
Author(s):  
Banibrata Mukhopadhyay ◽  
Soumya Kanti Ganguly
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Geometric Phase ◽  
Zeeman Effect ◽  
Relative Strength ◽  
Entangled States ◽  
Neutrino Masses ◽  
Geometric Phases ◽  
Aharonov Bohm ◽  
Gravitational Background

We show Zeeman-like splitting in the energy of spinors propagating in a background gravitational field, analogous to the spinors in an electromagnetic field, otherwise termed the Gravitational Zeeman Effect. These spinors are also found to acquire a geometric phase, in a similar way as they do in the presence of magnetic fields. However, in a gravitational background, the Aharonov-Bohm type effect, in addition to Berry-like phase, arises. Based on this result, we investigate geometric phases acquired by neutrinos propagating in a strong gravitational field. We also explore entanglement of neutrino states due to gravity, which could induce neutrino-antineutrino oscillation in the first place. We show that entangled states also acquire geometric phases which are determined by the relative strength between gravitational field and neutrino masses.

THE GRAVITOKINETIC FIELD AND THE ORBIT OF MERCURY

1966 ◽  
Vol 44 (5) ◽  
pp. 1147-1156 ◽  
Author(s):  
J. C. W. Scott
Keyword(s):  
Field Theory ◽  
Electromagnetic Field ◽  
Gravitational Field ◽  
Electromagnetic Force ◽  
Total Mass ◽  
Gravitational Force ◽  
Space Time ◽  
Red Shift ◽  
Null Results ◽  
Magnetic Components

A new Lorentz-invariant gravitational field theory is introduced according to which space–time is always flat. The gravitational field is of Maxwellian form with potential and kinetic components analogous to the electric and magnetic components of the electromagnetic field. New mathematical entities named scaled tensors are developed. While the electromagnetic force is represented by an unsealed tensor, the gravitational force is properly described by a scaled tensor. The precession of the orbit of the planet Mercury establishes the scale of the gravitational force as −5. Since the force on a body is found to be proportional to its total mass, the null results of Eötvös and Dicke are confirmed. However, the theory requires that the force depend on velocity so that new very small effects analogous to electromagnetic phenomena are predicted. In a following paper, "Photons in the Gravitational Field", the gravitational red shift and the gravitational deflection of a light ray are deduced correctly.

Conformally flat null electromagnetic field

1983 ◽  
Vol 22 (3) ◽  
pp. 237-241
Author(s):  
M. M. Som ◽  
M. P. Martins ◽  
A. Banerjee
Keyword(s):  
Electromagnetic Field ◽  
Conformally Flat ◽  
Null Electromagnetic Field

scholarly journals A Classical Approach of Unified Field

2013 ◽  
Vol 12 ◽  
pp. 73-84
Author(s):  
Mukul Chandra Das ◽  
Rampada Misra
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Boundary Conditions ◽  
Transformation Matrix ◽  
Classical Approach ◽  
Gravitational Fields ◽  
Unified Field

Photons contribute electromagnetic field that accompanies the gravitational field. These two fields may be, mutually, transformed through a kind of transformation matrix dependent upon the boundary conditions of the system. In this work trial would be made to find the nature of this transformation matrix considering a super system of photon in which both fields are unified.The unification of electromagnetic and gravitational fields leads to the concept of fundamental charge.

scholarly journals LAWS OF MOTION IN THE FRAME THEORIES OF GRAVITY

2021 ◽  
Vol 2 (37) ◽  
pp. 73-79
Author(s):  
S. Samokhvalov
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Riemannian Space ◽  
Lagrange Equations ◽  
Remarkable Feature ◽  
Translational Invariance ◽  
Famous Theorem ◽  
Conservation Of Energy ◽  
Wide Range ◽  
Theories Of Gravity

One of the most striking features of the general relativity (GR) is the fact that the matter that generates gravitational field cannot move arbitrarily, but must obey certain equations that follow from equations of the gravitational field as a condition of their compatibility. This fact was first noted in the fundamental Hilbert's work, in which equations of GR saw the world for the first time as variational Lagrange equations. Hilbert showed that in the case when fulfilling equations of the gravitational field which were born by an electromagnetic field, four linear combinations of equations of the electromagnetic field and their derivatives are zero due to the general covariance of the theory. It is known that this is what stimulated E. Noether to invent her famous theorem. As for "solid matter", for the compatibility of equations of the gravitational field, it is necessary that particles of dust matter move along geodesics of Riemannian space, which describes the gravitational field. This fact was pointed out in the work of A. Einstein and J. Grommer and according to V. Fock it is one of the main justifications of GR (although even before the creation of GR it was known that the motion along geodesics is a consequence of the condition of covariant conservation of energy-momentum of matter). This remarkable feature of GR all his life inspired Einstein to search on the basis of GR such theory from which it would be possible to derive all fundamental physics, including quantum mechanics. Interest in this problem (following Einstein, we name it the problem of motion) has resumed in our time in connection with the registration of gravitational waves and analysis of the conditions of their radiation, i.e. the need for its direct application in gravitational-wave astronomy. In this article we consider the problem to what extent the motion of matter that generates the gravitational field can be arbitrary. Considered problem is analyzed from the point of view symmetry of the theory with respect to the generalized gauge deformed groups without specification of Lagrangians. In particular it is shown, that the motion of particles along geodesics of Riemannian space is inherent in an extremely wide range of theories of gravity and is a consequence of the gauge translational invariance of these theories under the condition of fulfilling equations of gravitational field. In addition, we found relationships of equations for some fields that follow from the assumption about fulfilling of equations for other fields, for example, relationships of equations of the gravitational field which follow from the assumption about fulfilling of equations of matter fields.

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