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.

THE EFFECT OF POLARIZATION OF COLLIDING PLANE GRAVITATIONAL WAVES ON FOCUSING SINGULARITIES

1991 ◽  
Vol 06 (13) ◽  
pp. 2273-2288 ◽  
Author(s):  
ANZHONG WANG
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Polarization Plane ◽  
Plane Gravitational Wave ◽  
Wave Solutions ◽  
Plane Gravitational Waves

A five-parameter class of colliding plane gravitational wave solutions is obtained by using the soliton technique of Belinsky and Zakharov, which includes most of the important known solutions. A four-parameter subclass of the solutions can be considered as a noncollinear generalization of the famous Szekeres family of colliding collinear polarization plane gravitational wave solutions. The effect of polarization of colliding plane gravitational waves on the formation and nature of singularities is, in turn, investigated.

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.

scholarly journals TRAPPING OF NONLINEAR GRAVITATIONAL WAVES BY TWO-FLUID SYSTEMS

2009 ◽  
Vol 24 (34) ◽  
pp. 2761-2768 ◽  
Author(s):  
MERAB GOGBERASHVILI ◽  
RAMAZ KHOMERIKI
Keyword(s):  
Energy Transfer ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Wave Amplitude ◽  
Vacuum Energy ◽  
Matter Wave ◽  
Stiff Matter ◽  
Fluid Systems ◽  
Two Fluid

We show that the coupled two-fluid gravitating system (e.g. stiff matter and "vacuum energy") could trap nonlinear gravitational waves (e.g. Einstein–Rosen waves). The gravitational wave amplitude varies harmonically in time transferring the energy coherently to the stiff matter wave, and then the process goes to the backward direction. This process mimics the behavior of trapped electromagnetic waves in two-level media. We have defined the limits for the frequency of this energy transfer oscillations.

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.

The essence of gravitational waves and energy

2015 ◽  
Vol 24 (12) ◽  
pp. 1543005 ◽  
Author(s):  
F. I. Cooperstock
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Essential Element ◽  
Cosmological Term ◽  
Field Equations ◽  
Essential Characteristic ◽  
Spacetime Curvature ◽  
Energy Aspect ◽  
Dual Character

In this paper, we discuss the essential element of gravity as spacetime curvature and a gravitational wave as the propagation of spacetime curvature. Electromagnetic waves are necessarily localized carriers of spacetime curvature and hence are also gravitational waves. Thus, electromagnetic waves have dual character and detection of gravitational waves is the routine of our everyday experience. Regarding the transferring energy from a gravitational wave to an apparatus, both Rosen and Bondi waves lack the essential characteristic of inducing a gradient of acceleration between detector elements. We discuss our simple invariant energy expression for general relativity and its extension. If the cosmological term is present in the field equations, its universal presence characteristic implies that gravitational waves would necessarily have an energy aspect in their propagation in every case.

scholarly journals Effects of gravitational waves on the polarization of pulsars

2016 ◽  
Vol 31 (02n03) ◽  
pp. 1641023 ◽  
Author(s):  
Shahen Hacyan
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Electromagnetic Waves ◽  
Stokes Parameters ◽  
Polarization Angle ◽  
Stochastic Background ◽  
Pulsar Timing

The polarization of electromagnetic waves in the presence of a gravitational wave is analyzed. The rotation of the polarization angle and the Stokes parameters are deduced. A possible application to the detection of stochastic background of gravitational waves is proposed as a complement to the pulsar timing method.

scholarly journals Interaction between gravitational radiation and electromagnetic radiation

2019 ◽  
Vol 28 (06) ◽  
pp. 1930010 ◽  
Author(s):  
Preston Jones ◽  
Douglas Singleton
Keyword(s):  
Magnetic Field ◽  
Gravitational Wave ◽  
Electromagnetic Radiation ◽  
Gravitational Waves ◽  
Recent Work ◽  
Gravitational Radiation ◽  
Review Paper ◽  
Feynman Diagrams

In this review paper, we investigate the connection between gravity and electromagnetism from Faraday to the present day. The particular focus is on the connection between gravitational and electromagnetic radiation. We discuss electromagnetic radiation produced when a gravitational wave passes through a magnetic field. We then discuss the interaction of electromagnetic radiation with gravitational waves via Feynman diagrams of the process [Formula: see text]. Finally, we review recent work on the vacuum production of counterpart electromagnetic radiation by gravitational waves.

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