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arXiv · 1504.07817

Exploring Higher-Order Gravitational Waves

H. Arcos·M. Krssak·J. G. Pereira
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Abstract

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. As a consequence, the whole solution is neither transverse nor traceless, a result that could eventually have important consequences for quantum gravity, and in particular for the definition of graviton itself. Some additional properties and features of these higher-order gravitational waves are explored and discussed.

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H. Arcos, M. Krssak, J. G. Pereira. 2015-04-29. Exploring Higher-Order Gravitational Waves. https://arxiv.org/abs/1504.07817

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