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Gravitational Cherenkov losses in MOND theories · Around

2011

Gravitational Cherenkov losses in MOND theories

Milgrom, Mordehai

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Survival of high-energy cosmic rays (HECRs) against gravitational Cherenkov losses is shown not to cast strong constraints on MOND theories that are compatible with general relativity (GR): theories that coincide with GR in the high-acceleration limit.

The energy-loss rate, L, is shown to be many orders smaller than those derived in the literature for theories with no extra scale.
The gravitational acceleration produced by a HECR in its vicinity is much higher than the MOND acceleration a0.
So, modification to GR, which underlies L, enters only beyond the MOND radius of the particle, within which GR holds sway: r_M=sqrt(Gp/c a0).

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