Dark Matter Spike surrounding Supermassive Black Holes Binary and the Nanohertz Stochastic Gravitational Wave Background

Abstract

The NANOGrav, PPTA, EPTA, CPTA and MPTA collaborations have reported compelling evidence for the existence of the Stochastic Gravitational-Wave Background (SGWB). This inferred background's amplitude and frequency spectrum align closely with the astrophysical predictions for a signal originating from the population of supermassive black hole (SMBH) binaries. Considering these findings, we explore the possibility of detecting dark matter (DM) spikes surrounding SMBHs, which could alter the gravitational-wave waveform and influence the SGWB. We show that the evolution of SMBH binaries, driven by both gravitational radiation and the dynamic friction of the surrounding DM spike, presents observable effects in the nHz frequency domain of the SGWB. We also employ the Bayesian inference method to fit the SGWB spectra from the NANOGrav, EPTA, and PPTA. The model with DM spike improves the fittings to the former two data sets. The spike slope ${\gamma }_{\mathrm{sp}}$ is slightly smaller than 1, which may suggest that the spike is flattened during the inspiral of the SMBHBs.

8 pages, 2 figures and 1 table. Accepted for publication in Physics of the Dark Universe. arXiv admin note: text overlap with arXiv:1408.3534 by other authors

References in corpus (53)

• A direct empirical proof of the existence of dark matter
• 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
• Primordial Black Holes as Dark Matter
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• Primordial Black Holes as Dark Matter: Recent Developments
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• The NANOGrav 15-year Data Set: Constraints on Supermassive Black Hole Binaries from the Gravitational Wave Background
• On the evidence for a common-spectrum process in the search for the nanohertz gravitational-wave background with the Parkes Pulsar Timing Array
• Common-red-signal analysis with 24-yr high-precision timing of the European Pulsar Timing Array: Inferences in the stochastic gravitational-wave background search
• Gravitational waves from resolvable massive black hole binary systems and observations with Pulsar Timing Arrays
• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• Interaction of massive black hole binaries with their stellar environment: I. Ejection of hypervelocity stars
• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• The NANOGrav 15-year Data Set: Bayesian Limits on Gravitational Waves from Individual Supermassive Black Hole Binaries
• Gravitational waves as a probe of dark matter mini-spikes
• NANOGrav Signal from the End of Inflation and the LIGO Mass and Heavier Primordial Black Holes
• Cosmological Background Interpretation of Pulsar Timing Array Data
• Primordial gravitational waves in the nano-Hertz regime and PTA data -- towards solving the GW inverse problem
• Probing the equation of state of the early Universe with pulsar timing arrays
• Limits on scalar-induced gravitational waves from the stochastic background by pulsar timing array observations
• Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
• Interaction of massive black hole binaries with their stellar environment: III. Scattering of bound stars
• Have pulsar timing array methods detected a cosmological phase transition?
• Gravitational Waves from SMBH Binaries in Light of the NANOGrav 15-Year Data
• The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes
• Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered
• QCD-Collapsed Domain Walls: QCD Phase Transition and Gravitational Wave Spectroscopy
• Search for the Gravitational-wave Background from Cosmic Strings with the Parkes Pulsar Timing Array Second Data Release
• Cosmological Interpretation for the Stochastic Signal in Pulsar Timing Arrays
• Probing Dark Matter Spikes via Gravitational Waves of Extreme Mass Ratio Inspirals
• Asymptotic tails of massive gravitons in light of pulsar timing array observations
• Induced Gravitational Wave interpretation of PTA data: a complete study for general equation of state
• Mirror QCD phase transition as the origin of the nanohertz Stochastic Gravitational-Wave Background
• Exploring dark matter spike distribution around the Galactic centre with stellar orbits
• Rapidly growing primordial black holes as seeds of the massive high-redshift JWST Galaxies
• The MeerKAT Pulsar Timing Array: The $4.5$-year data release and the noise and stochastic signals of the millisecond pulsar population
• Bayesian Implications for the Primordial Black Holes from NANOGrav's Pulsar-Timing Data Using the Scalar-Induced Gravitational Waves
• Axion-Gauge Dynamics During Inflation as the Origin of Pulsar Timing Array Signals and Primordial Black Holes
• Towards distinguishing Dirac from Majorana neutrino mass with gravitational waves
• Bounds on Ultralight Dark Matter from NANOGrav
• Constraints on holographic QCD phase transitions from PTA observations
• Implications of cosmologically coupled black holes for pulsar timing arrays
• Astrophysical neutrino oscillations after pulsar timing array analyses
• Constraints on dark matter annihilation from the Event Horizon Telescope Observations of M87${}^{\star }$
• Dynamical friction from self-interacting dark matter
• Implication of nano-Hertz stochastic gravitational wave background on ultralight axion particles
• Distinctive GWBs from eccentric inspiraling SMBH binaries with a DM spike
• Domain Wall Network: A Dual Solution for Gravitational Waves and Hubble Tension?

Cited by in corpus (4)

• Probing Self-Interacting Dark Matter via Gravitational-Wave Background from Eccentric Supermassive Black Hole Mergers
• Can asteroid-mass PBHDM be compatible with catalyzed phase transition interpretation of PTA?
• Self-Interacting Dark-Matter Spikes and the Final-Parsec Problem: Bayesian constraints from the NANOGrav 15-Year Gravitational-Wave Background
• Polarization Signatures of Rotating Black Holes in Perfect Fluid Dark Matter Spacetimes