Vector Fuzzy Dark Matter, Fifth Forces, and Binary Pulsars

Abstract

We study the secular effects that an oscillating background ultralight (fuzzy) cosmological vector field has on the dynamics of binary systems; such effects appear when the field and the binary are in resonance. We first consider the gravitational interaction between the field and the systems, and quantify the main differences with an oscillating background scalar field. If the energy density of such a field is sufficiently large, as required if it is supposed to be all of the dark matter, we show that the secular effects could yield potentially observable signatures in high precision time of arrival measurements of binary pulsars. We then analyse the secular effects that arise when the field is directly coupled to the bodies in the binary. We show that this study is particularly relevant for models where fuzzy dark matter mediates a baryonic force $B$ (or $B-L$, with $L$ the lepton number), due to the stellar amount of nucleons present in the stars. The constraints we obtain from current data are already competitive with (or even more constraining than) laboratory tests of the equivalence principle.

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• Pulsar timing array constraints on spin-2 ULDM
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• Probing Massive Scalar/Vector Fields with Binary Pulsars
• Axion resonances in binary pulsar systems
• Probing ultralight scalar, vector and tensor dark matter with pulsar timing arrays
• Constraints on ultralight axions, vector gauge bosons, and unparticles from geodetic and frame-dragging measurements
• Fuzzy Dark Matter in Relativistic Stars
• Bayesian sensitivity of binary pulsars to ultra-light dark matter
• TDiff invariant gauge fields in cosmology
• The imprint of ultralight vector fields on gravitational wave propagation
• Gravitational waves of quasi-circular, inspiraling black hole binaries in an ultralight vector dark-matter environment
• Cosmological perturbations with ultralight vector dark matter fields: numerical implementation in CLASS
• Parametric-resonance based phenomenology of gravitating axion configurations
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• Vector dark radiation and gravitational-wave polarization
• Challenging theories of gravitation: dark matter, compact objects and gravitational waves
• Galactic magnetic fields seeded by ultralight dark photons