2006
DOI: 10.1142/s0219887806001247
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Spin-1 Gravitational Waves: Theoretical and Experimental Aspects

Abstract: Exact solutions of Einstein field equations invariant for a non-Abelian 2-dimensional Lie algebra of Killing fields are described. Physical properties of these gravitational fields are studied, their wave character is checked by making use of covariant criteria and the observable effects of such waves are outlined. The possibility of detection of these waves with modern detectors, spherical resonant antennas in particular, is sketched.

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Cited by 3 publications
(3 citation statements)
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“…Our investigation is therefore part of the efforts aimed at a better understanding of the circumstances under which one can predict formation of shock-wave geometries [10] in classical or quantum gravity [11][12][13][14]. In future work, we hope to be able to study the "boosted" Riemann tensor, along the lines of [3], but for Schwarzschild-de Sitter, Schwarzschild-anti-de Sitter (see previous sections) and Kerr-Schild geometries [4].…”
Section: Discussionmentioning
confidence: 99%
“…Our investigation is therefore part of the efforts aimed at a better understanding of the circumstances under which one can predict formation of shock-wave geometries [10] in classical or quantum gravity [11][12][13][14]. In future work, we hope to be able to study the "boosted" Riemann tensor, along the lines of [3], but for Schwarzschild-de Sitter, Schwarzschild-anti-de Sitter (see previous sections) and Kerr-Schild geometries [4].…”
Section: Discussionmentioning
confidence: 99%
“…It should be analyzed to what extent W a and P a yield information about the helicity of plane gravitational waves, for instance. We recall that investigations about the possible existence of spin-1 gravitational waves have been carried out in the literature [25]. This issue will considered in the context of the present analysis.…”
Section: Final Remarksmentioning
confidence: 99%
“…The other components also vanish, M (1)(3) = M (2)(3) = 0, and consequently the angular momentum L (i)(j ) of the spacetime of a rotating mass shell vanishes if computed out of equation (25). However this result should come as no surprise, since the reference frame represented by equation ( 25) is rotating around the source with angular velocity .…”
Section: The Spacetime Of the Rotating Mass Shellmentioning
confidence: 99%