No-go theorem for bimetric gravity with positive and negative mass

Details No-go theorem for bimetric gravity with positive and negative mass No-go theorem for bimetric gravity with positive and negative mass

2009-08-24

arxiv.org/abs/0908.3384v2

Phys. Rev. D 80 (2009) 104011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, no figures, journal version

Scientific paper

10.1103/PhysRevD.80.104011

We argue that the most conservative geometric extension of Einstein gravity describing both positive and negative mass sources and observers is bimetric gravity and contains two copies of standard model matter which interact only gravitationally. Matter fields related to one of the metrics then appear dark from the point of view of an observer defined by the other metric, and so may provide a potential explanation for the dark universe. In this framework we consider the most general form of linearized field equations compatible with physically and mathematically well-motivated assumptions. Using gauge-invariant linear perturbation theory, we prove a no-go theorem ruling out all bimetric gravity theories that, in the Newtonian limit, lead to precisely opposite forces on positive and negative test masses.

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