Ultralight scalar dark matter versus nonadiabatic perfect fluid dark matter in pulsar timing

Abstract

Recent evidence for stochastic gravitational waves reported by pulsar timing array (PTA) collaborations might open a new window for studying cosmology and astrophysical phenomena. In addition to signals from gravitational waves, there is motivation to explore residual signals from oscillating dark matter, which might partially comprise the galactic halo. We investigate fluctuations in pulsar timing originating from the coherent oscillation of scalar dark matter up to the subleading-order correction of $\mathcal{O}(k/m)$, as well as from acoustic oscillations of non-adiabatic perfect fluid dark matter. Both types of dark matter can induce the Newtonian potential and curvature perturbations, thereby affecting pulsar timing. We show distinctive signatures in pulsar timing residuals and angular correlations in the PTA frequency band and considering the known distances of pulsars. For scalar dark matter, both the timing residuals and the angular correlation are sensitive to small variations in the distance, $\delta L$, due to the subleading-order correction of $\mathcal{O}(k/m)$. In contrast, for perfect fluid dark matter, it is insensitive to the $\delta L$. For deterministic sources from scalar dark matter, the distance of a pulsar has influence on the degree of directional dependence of timing residuals, significantly. For stochastic sources from perfect fluid dark matter, the angular correlation tends to a constant and enhances only when the pulsar pair is very close to each other. In this sense, perfect fluid dark matter is shown to be a more suitable physical origin for monopolar signals in angular correlations compared to the scalar dark matter.

arXiv comment30 pages, 14 figures, accepted version in PRD

References in corpus (53)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• The ATNF Pulsar Catalogue
• Axion Cosmology
• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• How supernova feedback turns dark matter cusps into cores
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• Cosmological perturbations
• Detection methods for stochastic gravitational-wave backgrounds: a unified treatment
• Cold dark matter: controversies on small scales
• A search for ultra-light axions using precision cosmological data
• The NANOGrav 15-year Data Set: Constraints on Supermassive Black Hole Binaries from the Gravitational Wave Background
• The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars
• Cold dark matter heats up
• Dark Matter Direct Detection with Accelerometers
• Pulsar timing signal from ultralight scalar dark matter
• The Parkes Pulsar Timing Array Third Data Release
• The NANOGrav 15-year Data Set: Bayesian Limits on Gravitational Waves from Individual Supermassive Black Hole Binaries
• Stochastic backgrounds in alternative theories of gravity: overlap reduction functions for pulsar timing arrays
• Axion as a Cold Dark Matter candidate
• Parkes Pulsar Timing Array constraints on ultralight scalar-field dark matter
• The second data release from the European Pulsar Timing Array II. Customised pulsar noise models for spatially correlated gravitational waves
• Constraints on ultralight scalar dark matter from pulsar timing
• Variance of the Hellings-Downs Correlation
• Axion as a cold dark matter candidate: low-mass case
• The second data release from the European Pulsar Timing Array: VI. Challenging the ultralight dark matter paradigm
• The second data release from the European Pulsar Timing Array V. Search for continuous gravitational wave signals
• A Self-interacting Dark Matter Solution to the Extreme Diversity of Low-mass Halo Properties
• An extensive investigation of the Generalised Dark Matter model
• Pulsar timing residual induced by ultralight tensor dark matter
• Constraining ultralight vector dark matter with the Parkes Pulsar Timing Array second data release
• Pulsar timing residual induced by ultralight vector dark matter
• High-precision search for dark photon dark matter with the Parkes Pulsar Timing Array
• Stellar acoustic radii, mean densities and ages from seismic inversion techniques
• Note on gauge invariance of second order cosmological perturbations
• Accurate effective fluid approximation for ultralight axions
• Pulsar timing array constraints on spin-2 ULDM
• Pulsar Timing Residual induced by Wideband Ultralight Dark Matter with Spin 0, 1, 2
• Search for ultralight scalar dark matter with NANOGrav pulsar timing arrays
• Effective theories for a nonrelativistic field in an expanding universe: Induced self-interaction, pressure, sound speed, and viscosity
• Pulsar timing signal from ultralight axion in $f(R)$ theory
• Stellar Spiral Structures in Triaxial Dark Matter Haloes
• Slow evolution of elliptical galaxies induced by dynamical friction
• Probing ultralight scalar, vector and tensor dark matter with pulsar timing arrays
• Full analytic expression of overlap reduction function for gravitational wave background with pulsar timing arrays
• Stochastic Wave Dark Matter with Fermi-LAT $\gamma$-ray Pulsar Timing Array
• Non-adiabatic perturbations in multi-component perfect fluids
• Angular correlation and deformed Hellings-Downs curve from spin-2 ultralight dark matter
• Non-linear corrections of overlap reduction functions for pulsar timing arrays
• Overlap reduction function for gravitational wave detectors in an expanding Universe