Post-Newtonian parameter γ and the deflection of light in ghost-free massive bimetric gravity

Post-Newtonian parameter γ and the deflection of light in ghost-free massive bimetric gravity We consider the parametrized post-Newtonian (PPN) limit of ghost-free massive bimetric gravity with two mutually noninteracting matter sectors coupled to the two metrics. Making use of a gauge-invariant differential decomposition of the metric perturbations, we solve the field equations up to the linear PPN order for a static, pointlike mass source. From the result, we derive the PPN parameter γ for spherically symmetric systems, which describes the gravitational deflection of light by visible matter. By a comparison to its value measured in the Solar System, we obtain bounds on the parameters of the theory. We further discuss the deflection of light by dark matter and find an agreement with the observed light deflection by galaxies. We finally speculate about a possible explanation for the observed distribution of dark matter in galactic mergers such as Abell 520 and Abell 3827. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Post-Newtonian parameter γ and the deflection of light in ghost-free massive bimetric gravity

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Post-Newtonian parameter γ and the deflection of light in ghost-free massive bimetric gravity

Abstract

We consider the parametrized post-Newtonian (PPN) limit of ghost-free massive bimetric gravity with two mutually noninteracting matter sectors coupled to the two metrics. Making use of a gauge-invariant differential decomposition of the metric perturbations, we solve the field equations up to the linear PPN order for a static, pointlike mass source. From the result, we derive the PPN parameter γ for spherically symmetric systems, which describes the gravitational deflection of light by visible matter. By a comparison to its value measured in the Solar System, we obtain bounds on the parameters of the theory. We further discuss the deflection of light by dark matter and find an agreement with the observed light deflection by galaxies. We finally speculate about a possible explanation for the observed distribution of dark matter in galactic mergers such as Abell 520 and Abell 3827.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.95.124049
Publisher site
See Article on Publisher Site

Abstract

We consider the parametrized post-Newtonian (PPN) limit of ghost-free massive bimetric gravity with two mutually noninteracting matter sectors coupled to the two metrics. Making use of a gauge-invariant differential decomposition of the metric perturbations, we solve the field equations up to the linear PPN order for a static, pointlike mass source. From the result, we derive the PPN parameter γ for spherically symmetric systems, which describes the gravitational deflection of light by visible matter. By a comparison to its value measured in the Solar System, we obtain bounds on the parameters of the theory. We further discuss the deflection of light by dark matter and find an agreement with the observed light deflection by galaxies. We finally speculate about a possible explanation for the observed distribution of dark matter in galactic mergers such as Abell 520 and Abell 3827.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jun 15, 2017

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