ENERGY AND MOMENTUM ASSOCIATED WITH GÖDEL UNIVERSE

2003 ◽  
Vol 18 (24) ◽  
pp. 4361-4370 ◽  
Author(s):  
M. SHARIF
Keyword(s):  
Energy And Momentum ◽  
Energy And Momentum Densities ◽  
Gödel Universe

Using different prescriptions we calculate energy and momentum densities for stationary and nonstationary forms of Gödel universe. We find that the results are finite and well defined in all the complexes.

scholarly journals Linear Energy Density and the Flux of an Electric Field in Proca Tubes

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 640
Author(s):  
Vladimir Dzhunushaliev ◽  
Vladimir Folomeev ◽  
Abylaikhan Tlemisov
Keyword(s):  
Scalar Field ◽  
Electric Field ◽  
Higgs Field ◽  
Meissner Effect ◽  
Coupling Constant ◽  
Cylindrically Symmetric ◽  
Integral Characteristics ◽  
Energy And Momentum ◽  
Energy And Momentum Densities ◽  
Higgs Scalar

In this work, we study cylindrically symmetric solutions within SU(3) non-Abelian Proca theory coupled to a Higgs scalar field. The solutions describe tubes containing either the flux of a color electric field or the energy flux and momentum. It is shown that the existence of such tubes depends crucially on the presence of the Higgs field (there are no such solutions without this field). We examine the dependence of the integral characteristics (linear energy and momentum densities) on the values of the electromagnetic potentials at the center of the tube, as well as on the values of the coupling constant of the Higgs scalar field. The solutions obtained are topologically trivial and demonstrate the dual Meissner effect: the electric field is pushed out by the Higgs scalar field.

scholarly journals ENERGY–MOMENTUM DENSITY OF GRAVITATIONAL WAVES

2008 ◽  
Vol 23 (27n28) ◽  
pp. 4569-4577 ◽  
Author(s):  
AMIR M. ABBASSI ◽  
SAEED MIRSHEKARI
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Momentum Density ◽  
Energy And Momentum ◽  
Energy And Momentum Densities

In this paper, we elaborate the problem of energy–momentum in general relativity by energy–momentum prescriptions theory. Our aim is to calculate energy and momentum densities for the general form of gravitational waves. In this connection, we have extended the previous works by using the prescriptions of Bergmann and Tolman. It is shown that they are finite and reasonable. In addition, using Tolman prescription, exactly, leads to the same results that have been obtained by Einstein and Papapetrou prescriptions.

Higher-dimensional energy–momentum problem for Bianchi types V and I universes in gravitation theories

2015 ◽  
Vol 12 (04) ◽  
pp. 1550045 ◽  
Author(s):  
Güliz Kiy ◽  
Sezgin Aygün
Keyword(s):  
Bianchi Type ◽  
Teleparallel Gravity ◽  
Type I ◽  
Four Dimensions ◽  
Momentum Distributions ◽  
Energy And Momentum ◽  
Bianchi Type V Universe ◽  
Energy And Momentum Densities ◽  
Type V ◽  
Bianchi Type V

Using the Einstein, Bergmann–Thomson, Landau–Lifshitz, Møller, Papapetrou and Tolman energy–momentum complexes in general relativity (GR) and teleparallel gravity (TG), we calculate the total energy–momentum distributions associated with N-dimensional Bianchi type V universe. While the solutions of Einstein, Bergmann–Thomson and Tolman energy and momentum densities are the same as each other, the solutions of Landau–Lifshitz, Møller and Papapetrou energy–momentum densities are different for N-dimensional Bianchi type V space-time in GR and TG. Obtained results for Einstein, Bergmann–Thomson and Landau–Lifshitz definitions we could say that GR and TG are in the same class. Because different energy–momentum distributions provide same results. However we have discussed N-dimensional Bianchi type I solutions and then we obtained all energy–momentum solutions are vanish in GR and TG theories. These results agree with Banerjee–Sen, Xulu, Aydoḡdu–Saltı and Radinschi in four dimensions.

Energy and momentum densities of a Landau-damped wave packet

2000 ◽  
Vol 63 (4) ◽  
pp. 371-391
Author(s):  
ROBERT W. B. BEST
Keyword(s):  
Wave Packet ◽  
Initial Conditions ◽  
Second Order ◽  
Landau Damping ◽  
Electrostatic Wave ◽  
First Order ◽  
Fluid Theory ◽  
Energy And Momentum ◽  
Energy And Momentum Densities ◽  
Standing Problem

The energy of a Landau-damped electrostatic wave is a long-standing problem. Calculations based on a spatially infinite wave are deficient. In this paper, a wave packet is analysed. The energy density depends on second-order initial conditions that are independent of the first-order wave. Pictures of energy and momentum transfer to resonant electrons are presented. On physical grounds, suitable second-order initial conditions are proposed. The resulting wave energy agrees with fluid theory. The ratio between energy and momentum is not the phase velocity up, as predicted by fluid theory, but ½up, in agreement with Landau-damping physics.

scholarly journals Уравнения для импульса и энергии рентгеновского волнового поля в кристалле

2018 ◽  
Vol 44 (19) ◽  
pp. 105
Author(s):  
А.А. Дышеков
Keyword(s):  
Coordinate System ◽  
Plane Electromagnetic Wave ◽  
Local Coordinate System ◽  
Homogeneous Medium ◽  
X Rays ◽  
New Approach ◽  
Nonmagnetic Medium ◽  
General Relations ◽  
Energy And Momentum ◽  
Energy And Momentum Densities

AbstractA new approach for describing the interaction of X rays with a crystalline medium is proposed. General relations for a change in the electromagnetic-field momentum and energy have been derived for a nonmagnetic medium with variable permittivity. A special local coordinate system for an inhomogeneous medium is introduced, in which the Maxwell tension tensor has a canonical form determined by the energy and momentum densities. Main relations for changes in the energy and momentum densities have been obtained in the coordinate system related to the propagation direction of a plane electromagnetic wave pulse in a homogeneous medium.

scholarly journals ENERGY AND MOMENTUM ASSOCIATED WITH A STATIC AXIALLY SYMMETRIC VACUUM SPACETIME

2004 ◽  
Vol 19 (24) ◽  
pp. 1847-1854 ◽  
Author(s):  
RAGAB M. GAD
Keyword(s):  
Energy Density ◽  
Momentum Density ◽  
Axially Symmetric ◽  
Symmetric Vacuum ◽  
Energy And Momentum ◽  
Energy And Momentum Densities ◽  
Vacuum Spacetime

We use the Einstein and Papapetrou energy–momentum complexes to calculate the energy and momentum densities of the Weyl metric. Further, using these results we obtain the energy and momentum density components for the Curzon metric (a particular case of the Weyl metric). We find that these two definitions of energy–momentum complexes do not provide the same energy density for Weyl metric, although they give the same momentum density. We show that, in the case of Curzon metric, these two definitions give the same energy only when R→∞. Furthermore, we compare these results with those obtained using Landau and Lifshitz, Bergmann and Møller prescriptions.

Velocity-space diffusion due to resonant wave–wave scattering of electromagnetic and electrostatic waves in a plasma

1991 ◽  
Vol 45 (1) ◽  
pp. 103-113 ◽  
Author(s):  
Reiji Sugaya
Keyword(s):  
Distribution Function ◽  
Wave Scattering ◽  
Maxwell Equations ◽  
Velocity Distribution Function ◽  
Velocity Space ◽  
Electrostatic Waves ◽  
Resonant Wave ◽  
Unmagnetized Plasma ◽  
Energy And Momentum ◽  
Energy And Momentum Densities

The velocity-space diffusion equation describing distortion of the velocity distribution function due to resonant wave-wave scattering of electromagnetic and electrostatic waves in an unmagnetized plasma is derived from the Vlasov-Maxwell equations by perturbation theory. The conservation laws for total energy and momentum densities of waves and particles are verified, and the time evolutions of the energy and momentum densities of particles are given in terms of the nonlinear wave-wave coupling coefficient in the kinetic wave equation.

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