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2015

Exploring Higher-Order Gravitational Waves

Arcos, H., Krssak, M., Pereira, J. G.

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In addition to the usual linear gravitational waves in transverse-traceless coordinates, higher-order gravitational field equations, as well as their corresponding solutions, are explicitly obtained.

It is found that higher-order waves do not represent corrections to the first-order wave.
In contrast, all higher than second-order solutions do represent corrections to the second-order wave, a property that makes the first-order gravitational wave to stand apart from higher-order waves.
Furthermore, although the first-order solution is transverse and traceless, all higher-order solutions are not.

Exploring Higher-Order Gravitational Waves · Around

Built on

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H. Stephani, General Relativity
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Similar

See, for example, R. K. Dodd, J. C. Eilbeck, J. D. Gibbon and H. C. Morris, Solitons and Nonlinear Wave Equations
1982
Cited alongside, same era.
See, for example, H. Bondi, Gravitational waves in general relativity
1990
Cited alongside, same era.
H.-J. Schmidt, Why do all the curvature invariants of a gravitational wave vanish?
1996
Cited alongside, same era.
L. Blanchet, Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
2002
Cited alongside, same era.
See, for example, B. Schutz, Gravity from the ground up
Original
2003
Cited alongside, same era.

Then

R. Aldrovandi, J. G. Pereira and K. H. Vu, The nonlinear essence of gravitational waves
Original
2007
Later among the works it cites.
M. Maggiore, Gravitational Waves
2008
Later among the works it cites.
R. Aldrovandi, J. G. Pereira, R. da Rocha and K. H. Vu, Nonlinear gravitational waves: their form and effects
Original
2010
Later among the works it cites.
The ALPHA Collaboration & A. E. Charman, Nature Communications 4
2013
Later among the works it cites.

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