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

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.

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 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.

scholarly journals Singularities of plane gravitational waves in Einstein’s general relativity

2020 ◽  
Vol 52 (2) ◽  
Author(s):  
Tongzheng Wang ◽  
Jared Fier ◽  
Bowen Li ◽  
Guoliang Lü ◽  
Zhaojun Wang ◽  
...  
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Plane Gravitational Waves ◽  
Einstein’S General Relativity

CONFORMAL GRAVITY AND GRAVITATIONAL WAVES

2011 ◽  
Vol 20 (10) ◽  
pp. 1941-1943 ◽  
Author(s):  
LUCA FABBRI ◽  
M. B. PARANJAPE
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Invariant Theory ◽  
Minkowski Spacetime ◽  
Coordinate Transformations ◽  
Conformal Gravity ◽  
Conformally Invariant ◽  
Wave Solutions ◽  
Linearized Theory ◽  
Plane Gravitational Waves

We consider monochromatic, plane gravitational waves in a conformally invariant theory of general relativity. We show that the simple, standard ansatz for the metric, usually that which is taken for the linearized theory of these waves, is reducible to the metric of Minkowski spacetime via a sequence of conformal and coordinate transformations. This implies that we have in fact, exact plane wave solutions. However they are simply coordinate/conformal artifacts. As a consequence, they carry no energy.

Beyond the Schwarzschild Metric

2018 ◽  
Author(s):  
David M. Wittman
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Gravitational Waves ◽  
Test Particle ◽  
Direct Detection ◽  
Relativistic Effects ◽  
Big Bang ◽  
Clusters Of Galaxies ◽  
General Relativistic ◽  
The Universe

General relativity explains much more than the spacetime around static spherical masses.We briefly assess general relativity in the larger context of physical theories, then explore various general relativistic effects that have no Newtonian analog. First, source massmotion gives rise to gravitomagnetic effects on test particles.These effects also depend on the velocity of the test particle, which has substantial implications for orbits around black holes to be further explored in Chapter 20. Second, any changes in the sourcemass ripple outward as gravitational waves, and we tell the century‐long story from the prediction of gravitational waves to their first direct detection in 2015. Third, the deflection of light by galaxies and clusters of galaxies allows us to map the amount and distribution of mass in the universe in astonishing detail. Finally, general relativity enables modeling the universe as a whole, and we explore the resulting Big Bang cosmology.

Gravity

2021 ◽  
Author(s):  
James B. Hartle
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Gravitational Waves ◽  
Undergraduate Curriculum ◽  
Physics First ◽  
Cambridge University ◽  
Introductory Course ◽  
Modern Physics ◽  
The Subject ◽  
Curriculum Making

Einstein's theory of general relativity is a cornerstone of modern physics. It also touches upon a wealth of topics that students find fascinating – black holes, warped spacetime, gravitational waves, and cosmology. Now reissued by Cambridge University Press, this ground-breaking text helped to bring general relativity into the undergraduate curriculum, making it accessible to virtually all physics majors. One of the pioneers of the 'physics-first' approach to the subject, renowned relativist James B. Hartle, recognized that there is typically not enough time in a short introductory course for the traditional, mathematics-first, approach. In this text, he provides a fluent and accessible physics-first introduction to general relativity that begins with the essential physical applications and uses a minimum of new mathematics. This market-leading text is ideal for a one-semester course for undergraduates, with only introductory mechanics as a prerequisite.

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