On Swift Gravitons

Abstract

We use the method of characteristics to study superluminal graviton (thereof called swift graviton) propagation in theories of higher curvature gravity of the form $($Riemann${)}^2$, $($Riemann${)}^3$, ${\nabla }^2($Riemann${)}^2$ and $($Riemann${)}^4$. We consider a pp-wave background. When probed by gravitons with an appropriate polarisation, several of the gravitational theories under consideration exhibit characteristic hypersurfaces outside the flat spacetime light-cone.

25+10 pages. [v2] - revised version as submitted for publication, updated references

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