Lower Bound on the Propagation Speed of Gravity from Gravitational Cherenkov Radiation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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8 pages with 1 figure, JHEP style. References added, slight (superficial) changes

Scientific paper

10.1088/1126-6708/2001/09/023

Recently, interesting 4-D Lorentz violating models have been proposed, in which all particles have a common maximum velocity $c$, but gravity propagates (in the preferred frame) with a different maximum velocity $c_g \neq c$. We show that the case $c_g < c$ is very tightly constrained by the observation of the highest energy cosmic rays. Assuming a galactic origin for the cosmic rays gives a conservative bound of $c-c_g < 2 \times 10^{-15} c$; if the cosmic rays have an extragalactic origin the bound is orders of magnitude tighter, of order $c-c_g < 2 \times 10^{-19} c$.

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