scholarly journals The structure of the curvature tensor of plane gravitational waves

2021 ◽  
Vol 2081 (1) ◽  
pp. 012014
Author(s):  
O V Babourova ◽  
B N Frolov ◽  
M S Khetzeva ◽  
D V Kushnir
Keyword(s):  
General Relativity ◽  
Plane Wave ◽  
Gravitational Waves ◽  
Curvature Tensor ◽  
Electromagnetic Waves ◽  
Riemann Space ◽  
Lie Derivative ◽  
Invariance Group ◽  
Wave Curvature ◽  
Plane Gravitational Waves

Abstract Plane gravitational waves in the Riemann space of General Relativity is considered. The criterion of plane gravitational waves is used based on the analogy between plane gravitational and electromagnetic waves. The Theorem is proved that the action of the Lie derivative on the plane wave curvature 2-form in the direction of the vector generating the invariance group of this wave in the Riemann space is equal to zero. It is justified that the gravitational waves can be used to transmit information in the Riemann space.

Gravitational waves in general relativity III. Exact plane waves

1959 ◽  
Vol 251 (1267) ◽  
pp. 519-533 ◽  
Keyword(s):  
Plane Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Plane Waves ◽  
Flat Space ◽  
Field Equations ◽  
Test Particles ◽  
Wave Space ◽  
General Plane ◽  
Plane Gravitational Waves

Plane gravitational waves are here defined to be non-flat solutions of Einstein’s empty spacetime field equations which admit as much symmetry as do plane electromagnetic waves, namely, a 5-parameter group of motions. A general plane-wave metric is written down and the properties of plane wave space-times are studied in detail. In particular, their characterization as 4 plane ’ is justified further by the construction of 4 sandwich waves ’ bounded on both sides by (null) hyperplanes in flat space-time. It is shown that the passing of a sandwich wave produces a relative acceleration in free test particles, and inferred from this that such waves transport energy.

Do electromagnetic waves harbour gravitational waves?

2006 ◽  
Vol 462 (2071) ◽  
pp. 1987-2000 ◽  
Author(s):  
Brian Bramson
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Electric Dipole ◽  
Electromagnetic Waves ◽  
Maxwell Theory ◽  
Flat Spacetime

In linearized, Einstein–Maxwell theory on flat spacetime, an oscillating electric dipole is the source of a spin-2 field. Within this approximation to general relativity, it is shown that electromagnetic waves harbour gravitational waves.

scholarly journals Modifications to Plane Gravitational Waves from Minimal Lorentz Violation

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1318 ◽  
Author(s):  
Rui Xu
Keyword(s):  
General Relativity ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
First Order ◽  
Test Particles ◽  
Violation Of Lorentz Invariance ◽  
Plane Gravitational Waves ◽  
Wave Modes

General Relativity predicts two modes for plane gravitational waves. When a tiny violation of Lorentz invariance occurs, the two gravitational wave modes are modified. We use perturbation theory to study the detailed form of the modifications to the two gravitational wave modes from the minimal Lorentz-violation coupling. The perturbation solution for the metric fluctuation up to the first order in Lorentz violation is discussed. Then, we investigate the motions of test particles under the influence of the plane gravitational waves with Lorentz violation. First-order deviations from the usual motions are found.

Plane Gravitational Waves in General Relativity

Nature ◽  
1957 ◽  
Vol 179 (4569) ◽  
pp. 1072-1073 ◽  
Author(s):  
H. BONDI
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Plane Gravitational Waves

The effect of sources on horizons that may develop when plane gravitational waves collide

1987 ◽  
Vol 414 (1846) ◽  
pp. 1-30 ◽  
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Energy Density ◽  
Special Relativity ◽  
Gravitational Waves ◽  
Perfect Fluid ◽  
Three Dimensional ◽  
Subsequent Time ◽  
Colliding Gravitational Waves ◽  
Plane Gravitational Waves

Colliding plane gravitational waves that lead to the development of a horizon and a subsequent time-like singularity are coupled with an electromagnetic field, a perfect fluid (whose energy density, ∊ , equals the pressure, p ), and null dust (consisting of massless particles). The coupling of the gravitational waves with an electromagnetic field does not affect, in any essential way, the development of the horizon or the time-like singularity if the polarizations of the colliding gravitational waves are not parallel. If the polarizations are parallel, the space-like singularity which occurs in the vacuum is transformed into a horizon followed by a three-dimensional time-like singularity by the merest presence of the electromagnetic field. The coupling of the gravitational waves with an ( ∊ = p )-fluid and null dust affect the development of horizons and singularities in radically different ways: the ( ∊ = p )-fluid affects the development decisively in all cases but qualitatively in the same way, while null dust prevents the development of horizons and allows only the development of space-like singularities. The contrasting behaviours of an ( ∊ = p )-fluid and of null dust in the framework of general relativity is compared with the behaviours one may expect, under similar circumstances, in the framework of special relativity.

scholarly journals Observation of gravitational waves by light polarization

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Chan Park ◽  
Dong-Hoon Kim
Keyword(s):  
General Relativity ◽  
Perturbation Theory ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Geometrical Optics ◽  
Light Polarization ◽  
Stokes Parameters ◽  
Phase Amplitude

AbstractWe provide analysis to determine the effects of gravitational waves on electromagnetic waves, using perturbation theory in general relativity. Our analysis is performed in a completely covariant manner without invoking any coordinates. For a given observer, using the geometrical-optics approach, we work out the perturbations of the phase, amplitude, frequency and polarization properties–axes of ellipse and ellipticity of light, due to gravitational waves. With regard to the observation of gravitational waves, we discuss the measurement of Stokes parameters, through which the antenna patterns are presented to show the detectability of the gravitational wave signals.

Electrodynamics effects on colliding gravitational waves background

2020 ◽  
Vol 35 (18) ◽  
pp. 2050150
Author(s):  
Dong-Dong Wei ◽  
Xin-He Meng ◽  
Bin Wang
Keyword(s):  
Magnetic Field ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Linear Polarization ◽  
Electromagnetic Waves ◽  
Weak Magnetic Field ◽  
Collision Process ◽  
Plane Gravitational Wave ◽  
Colliding Gravitational Waves ◽  
Plane Gravitational Waves

The degenerate Ferrari-Ibanez solution describes the collision of plane gravitational waves with aligned linear polarization, within the interaction region, the solution is Schwarzschild-like metric, which impels us to be more interesting to analyze the collision process. In this paper, we have considered the electrodynamics effects on the colliding gravitational waves background. Moreover, we have calculated explicitly out the solutions of the electromagnetic waves produced by the plane gravitational wave and the colliding region of plane gravitational waves perturbing a weak magnetic field background. We also work out the solutions of these electromagnetic waves after crossing out a weak magnetic field background.

Gravitational waves, energy and Feynman’s “sticky bead”

2015 ◽  
Vol 30 (27) ◽  
pp. 1550143 ◽  
Author(s):  
F. I. Cooperstock
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Vacuum Energy ◽  
Cosmological Term ◽  
Speed Of Light ◽  
Field Equations ◽  
Energy Expression ◽  
Energy Issue ◽  
Spacetime Curvature

It is noted that in the broader sense, gravitational waves viewed as spacetime curvature which necessarily accompanies electromagnetic waves at the speed of light, are the routine perception of our everyday experience. We focus on the energy issue and Feynman’s “sticky bead” argument which has been regarded as central in supporting the conclusion that gravitational waves carry energy through the vacuum in general relativity. We discuss the essential neglected aspects of his approach which leads to the conclusion that gravitational waves would not cause Feynman’s bead to heat the stick on which it would supposedly rub. This opens the way to an examination of the entire issue of energy in general relativity. We briefly discuss our naturally-defined totally invariant spacetime energy expression for general relativity incorporating the contribution from gravity. When the cosmological term is included in the field equations, our energy expression includes the vacuum energy as required.

Gravitational waves in general relativity. IV. The gravitational field of a fast-moving particle

1959 ◽  
Vol 252 (1268) ◽  
pp. 96-101 ◽  
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Plane Wave ◽  
Gravitational Waves ◽  
Wave Field ◽  
Fast Moving ◽  
Moving Mass ◽  
Moving Particle ◽  
Plane Wave Field

It is shown, in an invariant manner, that the gravitational field of a fast-moving mass bears an increasing resemblance to a gravitational plane-wave field, the greater the speed of the mass.

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