Non-linear Plane Gravitational Waves as Space-time Defects

Abstract

We consider non-linear plane gravitational waves as propagating space-time defects, and construct the Burgers vector of the waves. In the context of classical continuum systems, the Burgers vector is a measure of the deformation of the medium, and at a microscopic (atomic) scale, it is a naturally quantized object. One purpose of the present article is ultimately to probe an alternative way on how to quantize plane gravitational waves.

18 pages, 5 figures, published in the Eur. Phys. J. C

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Cited by in corpus (3)

• Some geometrical aspects of gravitational waves using continuum mechanics analogy: State of the art and potential consequences
• Analogy of space-time as an elastic medium -- Study of the perturbation tensor of the metric $h_{\mu \nu }$ through the prism of the analogy of the theory of elasticity -- Analysis and potential consequences
• A Cosmological Bragg Law: Interpreting the CMB as a Diffractogram of Foliated Spacetime