Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-10-18
MNRAS 395 (2009) L25-L28
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, 3 figures; published version with updated references
Scientific paper
10.1111/j.1745-3933.2009.00633.x
Modified gravity theory is known to violate Birkhoff's theorem. We explore a key consequence of this violation, the effect of distant matter in the Universe on the motion of test particles. We find that when a particle is accelerated, a force is experienced that is proportional to the particle's mass and acceleration and acts in the direction opposite to that of the acceleration. We identify this force with inertia. At very low accelerations, our inertial law deviates slightly from that of Newton, yielding a testable prediction that may be verified with relatively simple experiments. Our conclusions apply to all gravity theories that reduce to a Yukawa-like force in the weak field approximation.
Moffat John W.
Toth Viktor T.
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