Graviton time delay and a speed limit for small black holes in Einstein-Gauss-Bonnet theory
arXiv:1508.05303 · doi:10.1007/JHEP11(2015)109
Abstract
Camanho, Edelstein, Maldacena and Zhiboedov have shown that gravitons can experience a negative Shapiro time delay, i.e. a time advance, in Einstein-Gauss-Bonnet theory. They studied gravitons propagating in singular "shock-wave" geometries. We study this effect for gravitons propagating in smooth black hole spacetimes. For a small enough black hole, we find that gravitons of appropriate polarisation, and small impact parameter, can experience time advance. Such gravitons can also exhibit a deflection angle less than , characteristic of a repulsive short-distance gravitational interaction. We discuss problems with the suggestion that the time advance can be used to build a "time machine". In particular, we argue that a small black hole cannot be boosted to a speed arbitrarily close to the speed of light, as would be required in such a construction.
v2: Typos corrected. Short argument for time advance added in section 4.4. Added reference. Matches the version to appear in JHEP. 22 pages + appendices, 15 figures
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