Post-Newtonian parameter $\gamma$ 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 non-interacting 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, point-like mass source. From the result we derive the PPN parameter $\gamma$ 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.

36 pages, 1 figure; journal version

References in corpus (33)

• The Confrontation between General Relativity and Experiment
• A direct empirical proof of the existence of dark matter
• Resummation of Massive Gravity
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Constraints on the Self-Interaction Cross-Section of Dark Matter from Numerical Simulations of the Merging Galaxy Cluster 1E 0657-5
• The non-gravitational interactions of dark matter in colliding galaxy clusters
• The Sloan Lens ACS Survey. V. The Full ACS Strong-Lens Sample
• Interacting Spin-2 Fields
• Revealing the properties of dark matter in the merging cluster MACSJ0025.4-1222
• The behaviour of dark matter associated with 4 bright cluster galaxies in the 10kpc core of Abell 3827
• On couplings to matter in massive (bi-)gravity
• A Dark Core in Abell 520
• Progress in Measurements of the Gravitational Bending of Radio Waves Using the VLBA
• Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
• Aspects of general higher-order gravities
• Heavy spin-2 Dark Matter
• Massive gravitons as dark matter and gravitational waves
• Gravitational Origin of Dark Matter
• Constraint on the Post-Newtonian Parameter gamma on Galactic Size Scales
• Massive gravity from bimetric gravity
• The coupling to matter in Massive, Bi- and Multi-Gravity
• Appearance of Boulware-Deser ghost in bigravity with doubly coupled matter
• Particular Solutions in Bimetric Theory and Their Implications
• Dark Matter via Massive (bi-)Gravity
• Test of parametrized post-Newtonian gravity with galaxy-scale strong lensing systems
• Parameterized Post-Newtonian Cosmology
• Dark matter in ghost-free bigravity theory: From a galaxy scale to the universe
• Testing scalar-tensor theories and PPN parameters in Earth orbit
• Cycles of interactions in multi-gravity theories
• Phenomenology of Dark Matter via a Bimetric Extension of General Relativity
• The Parameterised Post-Newtonian Limit of Bimetric Theories of Gravity
• Multimetric extension of the PPN formalism: experimental consistency of repulsive gravity

Cited by in corpus (9)

• Post-Newtonian limit of generalized symmetric teleparallel gravity
• Oscillating Spin-2 Dark Matter
• Photon Ring Astrometry for Superradiant Clouds
• Pulsar timing array constraints on spin-2 ULDM
• Binary Pulsars as probes for Spin-2 Ultralight Dark Matter
• Combining cosmological and local bounds on bimetric theory
• Post-Newtonian parameters $\gamma$ and $\beta$ of scalar-tensor gravity for a homogeneous gravitating sphere
• Probing Spin-2 Ultralight Dark Matter with Space-based Gravitational Wave Detectors in the mHz Regime
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity