ON THE AMPLIFICATION OF COSMOLOGICAL NON-MAXWELLIAN FIELDS IN CURVED BACKGROUND

2001 ◽  
Vol 16 (09) ◽  
pp. 541-555 ◽  
Author(s):  
A. L. OLIVEIRA
Keyword(s):  
Gravitational Field ◽  
Electromagnetic Fields ◽  
Electromagnetic Theory ◽  
Space Time ◽  
Electromagnetic Potential ◽  
Curved Space

We study the influence of the gravitational field of Friedmann geometries upon an electromagnetic potential, through the Proca electromagnetic theory in a Dirac æther. The results are compared with those as foreseen by the Maxwellian theory in curved space–time. Our findings show that strong amplification effects of electromagnetic fields are a distinctive possibility. Thence we discuss some related topics.

scholarly journals On the potential of electromagnetic phenomena in a gravitational field

1928 ◽  
Vol 120 (784) ◽  
pp. 1-13
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Electromagnetic Theory ◽  
Space Time ◽  
Electromagnetic Potential ◽  
Vector Potentials ◽  
Type Form ◽  
Action At A Distance ◽  
Galilean Space

In classical electromagnetic theory, the electromagnetic field due to any number of electrons moving in any manner is determined by a theorem which expresses the scalar and vector potentials of the field in terms of the positions and velocities of the electrons. The theorem may be stated thus: Denoting by t ¯ the instant at which radiation was emitted from an electron e so as to reach a point P ( x, y, z ), at the instant t , by ( x´ ¯ , y´ ¯ , z´ ¯ ) the co-ordinates of the electron at the instant t ¯ , by r ¯ the distance between the points ( x´ ¯ , y´ ¯ , z´ ¯ ) and ( x, y, z ) and by ( v x , v y , v z ) the components of velocity of the electron at the instant t ¯ , then the four-vector of the electromagnetic potential at P, due to the electron e , is ( Φ 0 , Φ 1 , Φ 2 , Φ 3 ) = ( e / s , - ev x / s , ev y / s , ev z / s ), (1) where s = r ¯ + {( x´ ¯ - x ) v x + ( y´ ¯ - y ) v y + ( z´ ¯ - z ) v z }/ c . The object of the present paper is to study the extension of this theorem to electromagnetic field which contain gravitating masses, so that the metric of space-time is no longer Galilean. It is obvious at the outset that there will be difficulty in making such an extension, because the quantities occurring in formula (1) cannot readily be generalised to non-Galilean space-time; the quantities r ¯ and s , in fact, belong essentially to action-at-a-distance theories, and therefore if a formula exists which expresses the electromagnetic potential in a gravitational field in terms of the electric charges and their motions, it must be altogether different in type form the formula (1) above.

THE ASYMPTOTICALLY FREE AND ASYMPTOTICALLY CONFORMALLY INVARIANT GRAND UNIFICATION THEORIES IN CURVED SPACE-TIME

1990 ◽  
Vol 05 (20) ◽  
pp. 1599-1604 ◽  
Author(s):  
I.L. BUCHBINDER ◽  
I.L. SHAPIRO ◽  
E.G. YAGUNOV
Keyword(s):  
Renormalization Group ◽  
Gravitational Field ◽  
Gauge Group ◽  
Flat Space ◽  
Space Time ◽  
Grand Unification ◽  
Curved Space ◽  
Conformally Invariant ◽  
Renormalization Group Equations ◽  
The One

GUT’s in curved space-time is considered. The set of asymptotically free and asymptotically conformally invariant models based on the SU (N) gauge group is constructed. The general solutions of renormalization group equations are considered as the special ones. Several SU (2N) models, which are finite in flat space-time (on the one-loop level) and asymptotically conformally invariant in external gravitational field are also presented.

scholarly journals Gravitational waves on Earth and their warming effects

2021 ◽  
Vol 13 (1) ◽  
pp. 43-54
Author(s):  
Horia DUMITRESCU ◽  
Vladimir CARDOS ◽  
Radu BOGATEANU
Keyword(s):  
Gravitational Field ◽  
Field Equation ◽  
Gravity Field ◽  
Space Time ◽  
Time Structure ◽  
Constant Light ◽  
Curved Space ◽  
Light Speed ◽  
Space Time Structure ◽  
Tensor Formulation

The gravity or reactive bundle energy is the outlet of the morphogenetic impact, known as “BIG BANG”, creating a bounded ordered/structured universe along with the solar system, including the EARTH-world with its human race. Post-impact, the huge kinetic energy is spread into stellar bodies associated with the light flux under strong mutual connections or gravitational bundle. Einstein’s general relativity theory including the gravitational field can be expressed under a condensed tensor formulation as E  R − Rg =  T where E defines the geometry via a curved space-time structure (R) over the gravity field (1/2Rg), embedded in a matter distribution T The fundamental (ten non-linear partial differential) equations of the gravitational field are a kind of the space-time machine using the curvature of a four-dimensional space-time to engender the gravity field carrying away material structures. Gravity according to the curved space-time theory is not seen as a gravitational force, but it manifests itself in the relativistic form of the space-time curvature needing the constancy of the light speed. But the constant light velocity makes the tidal wave/pulsating energy, a characteristic of solar energy, impossible. The Einstein’s field equation, expressed in terms of tensor formulation along with the constant light speed postulate, needs two special space-time tensors (curvature and torsion) in 4 dimensions, where for the simplicity the torsion/twist tensor is less well approximated (Bianchi identity) leading to a constant/frozen gravity (twist-free gravity).The non-zero torsion tensor plays a significant physical role in the planetary dynamics as a finest gear of a planet, where its spinning rotation is directly connected to the own work and space-time structure (or clock), controlled by light fluctuations (or tidal effect of gravity). The spin correction of Einstein’s gravitational field refers to the curvature-torsion effect coupled with fluctuating light speed. The mutual curvature-torsion bundle self-sustained by the quantum fluctuations of light speed engenders helical gravitational wave fields of a quantum nature where bodies orbit freely in the light speed field (cosmic wind). In contrast to the Einstein’s field equation describing a gravitational frozen field, a quantum tidal gravity model is proposed in the paper.

SEPARATION OF VARIABLES FOR THE DIRAC SQUARE EQUATION

1994 ◽  
Vol 03 (04) ◽  
pp. 739-746 ◽  
Author(s):  
V.G. BAGROV ◽  
V.V. OBUKHOV
Keyword(s):  
Jacobi Equation ◽  
Separation Of Variables ◽  
Complete Separation ◽  
Space Time ◽  
Riemann Space ◽  
Necessary Condition ◽  
Separation Procedure ◽  
Electromagnetic Potential ◽  
Curved Space ◽  
Hamilton Jacobi Equation

The problem of separation of variables for the Dirac square equation on a curved space-time in the presence of electromagnetic potential is considered. It is shown that the necessary condition for the separation of variables in the Dirac square equation is the complete separation of variables in the related Hamilton-Jacobi equation, i.e. the Riemann space should be Stäckel. The constructive scheme for separation procedure is presented.

THE BEHAVIOR OF THE EFFECTIVE COUPLING CONSTANTS FOR E6 GUT IN CURVED SPACE-TIME

1989 ◽  
Vol 04 (28) ◽  
pp. 2713-2717 ◽  
Author(s):  
I.L. BUCHBINDER ◽  
S.D. ODINTSOV ◽  
O.A. FONAREV
Keyword(s):  
Gravitational Field ◽  
Space Time ◽  
Coupling Constants ◽  
Nonminimal Coupling ◽  
Grand Unification Theory ◽  
Effective Coupling ◽  
Curved Space ◽  
Strong Gravitational Field ◽  
Renormalization Group Equations ◽  
The One

The one-loop renormalization group equations for effective coupling constants corresponding to parameters of nonminimal coupling of scalars and gravitational field in E6 asymptotically free grand unification theory in curved space-time are obtained. The behavior of these effective coupling constants in strong gravitational field is investigated. In strong gravitational field, these effective coupling constants infinitely rise.

scholarly journals Electromagnetic Field with Constraints and Papapetrou Equation

2006 ◽  
Vol 61 (3-4) ◽  
pp. 146-152 ◽  
Author(s):  
Zafar Y. Turakulov ◽  
Alisher T. Muminov
Keyword(s):  
Electromagnetic Field ◽  
Electromagnetic Wave ◽  
Variational Principle ◽  
Electromagnetic Fields ◽  
Functional Space ◽  
Massless Particle ◽  
Space Time ◽  
Lagrange Equations ◽  
Curved Space ◽  
Null Curves

It is shown that a geometric optical description of the electromagnetic wave with respect to its polarization in a curved space-time can be obtained straightforwardly from the classical variational principle for the electromagnetic field. For this purpose the entire functional space of electromagnetic fields must be reduced to its subspace of locally plane monochromatic waves. We have formulated the constraints under which this can be achieved. These constraints introduce variables of another kind which specify a field of local frames associated with the wave. They contain some congruence with null-curves. The Lagrangian for constrained electromagnetic fields contains variables of two kinds, namely a congruence of null-curves and the field itself. This in turn yields two kinds of Euler- Lagrange equations. The equations of the first kind are trivial due to the constraints imposed. The variation of the curves yields the Papapetrou equations for a classical massless particle with helicity 1

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