Extreme mass ratio inspirals in galaxies with dark matter halos

Abstract

Using an analytic, static, and spherically symmetric metric for a Schwarzschild black hole immersed in a dark matter (DM) halo with the Hernquist-type profile, we derive analytic expressions for the orbital period and precession of eccentric extreme mass ratio inspirals (EMRIs) surrounded by DM halos, and we show how the precession rates decrease and even undergo a prograde-to-retrograde precession transition if the density of DM halo is large enough. The presence of local DM halos also retards the decrease of the semi-latus rectum and the eccentricity. The orbital evolution of EMRIs immersed in DM halos is then calculated numerically by considering the combined effects of gravitational radiation reaction, dynamical friction, and accretion. Comparing the number of orbital cycles accumulated over a one-year evolution for EMRIs with and without DM halos, we find that DM halos with compactness as small as $10^{-5}$ can be detected. From the mismatch between gravitational waveforms of EMRIs with and without DM halos, we show that EMRIs in galaxies can be used to probe the existence of DM halos and detect the compactness of DM halos as small as $10^{-5}$. Employing the Fisher information matrix method, we find that larger compactness and density values of DM halos help to reduce the estimation error of parameters and further break the degeneracy between the parameters.

arXiv comment19 pages, 10 figures

References in corpus (81)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• A Universal Density Profile from Hierarchical Clustering
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• TianQin: a space-borne gravitational wave detector
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Testing General Relativity with Present and Future Astrophysical Observations
• The Structure of Dark Matter Haloes in Dwarf Galaxies
• Dark matter annihilation at the galactic center
• GW150914: The Advanced LIGO Detectors in the Era of First Discoveries
• Black holes, gravitational waves and fundamental physics: a roadmap
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• The construction and use of LISA sensitivity curves
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• Angular Resolution of the LISA Gravitational Wave Detector
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• Estimating spinning binary parameters and testing alternative theories of gravity with LISA
• On the Eccentricity Distribution of Coalescing Black Hole Binaries Driven by the Kozai Mechanism in Globular Clusters
• The Extended Rotation Curve and the Dark Matter Halo of M33
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• A Review of Bondi--Hoyle--Lyttleton Accretion
• Concepts and status of Chinese space gravitational wave detection projects
• Binary black hole mergers from field triples: properties, rates and the impact of stellar evolution
• New Horizons for Fundamental Physics with LISA
• The dark matter of gravitational lensing
• Measuring gravitational waves from binary black hole coalescences: II. the waves' information and its extraction, with and without templates
• "Kludge" gravitational waveforms for a test-body orbiting a Kerr black hole
• Four-Body Effects in Globular Cluster Black Hole Coalescence
• Dark matter distributions around massive black holes: A general relativistic analysis
• Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
• Into the lair: gravitational-wave signatures of dark matter
• Detecting dark matter around black holes with gravitational waves: Effects of dark-matter dynamics on the gravitational waveform
• Gravitational waves from extreme-mass-ratio systems in astrophysical environments
• Evidence for dark matter in the inner Milky Way
• Testing Scalar-Tensor Gravity with Gravitational-Wave Observations of Inspiralling Compact Binaries
• Imprint of Accretion Disk-Induced Migration on Gravitational Waves from Extreme Mass Ratio Inspirals
• A new probe of dark matter properties: gravitational waves from an intermediate mass black hole embedded in a dark matter mini-spike
• Gravitational waves as a probe of dark matter mini-spikes
• Detecting fundamental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals
• The Clumpiness of Cold Dark Matter: Implications for the Annihilation Signal
• Improved approximate inspirals of test-bodies into Kerr black holes
• Solutions of the Einstein equations for a black hole surrounded by a galactic halo
• Probing the existence of ultralight bosons with a single gravitational-wave measurement
• Constraints on the astrophysical environment of binaries with gravitational-wave observations
• Measuring the dark matter environments of black hole binaries with gravitational waves
• Detecting scalar fields with Extreme Mass Ratio Inspirals
• Evolution of gas disc-embedded intermediate mass ratio inspirals in the LISA band
• Black holes surrounded by generic dark matter profiles: appearance and gravitational-wave emission
• Constraining alternative theories of gravity by gravitational waves from precessing eccentric compact binaries with LISA
• Eccentricity evolution of compact binaries and applications to gravitational-wave physics
• Gravitational-wave imprints of compact and galactic-scale environments in extreme-mass-ratio binaries
• Dynamical friction of black holes in ultralight dark matter
• Gravitational wave cosmology with extreme mass-ratio inspirals
• Detecting Supermassive Black Hole-Induced Binary Eccentricity Oscillations with LISA
• Circularization vs. Eccentrification in Intermediate Mass Ratio Inspirals inside Dark Matter Spikes
• Stirred and shaken: dynamical behavior of boson stars and dark matter cores
• Black holes surrounded by generic matter distributions: polar perturbations and energy flux
• Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky
• Priorities in gravitational waveforms for future space-borne detectors: vacuum accuracy or environment?
• Analytical models of supermassive black holes in galaxies surrounded by dark matter halos
• Relativistic drag forces on black holes from scalar dark matter clouds of all sizes
• Accretion of Dark Matter onto a Moving Schwarzschild Black Hole: An Exact Solution
• Black holes surrounded by Einstein clusters as models of dark matter fluid
• Dark matter minispike: a significant enhancement of eccentricity for intermediate-mass-ratio-inspirals
• Sensitivity of CTA to dark matter signals from the Galactic Center
• Comparing Accretion Disks and Dark Matter Spikes in Intermediate Mass Ratio Inspirals
• Intermediate Mass-Ratio Inspirals with Dark Matter Minispikes
• The Early History of Dark Matter
• Gravitational waves in massive gravity theories: waveforms, fluxes and constraints from extreme-mass-ratio mergers
• Eccentricity of Long Inspiraling Compact Binaries Sheds Light on Dark Sirens
• Semi-relativistic approximation to gravitational radiation from encounters with nonspinning black holes
• CMB anisotropy science: a review
• Adiabatically compressed wave dark matter halo and intermediate-mass ratio inspirals
• Bound orbits of a slowly evolving black hole
• Tidal effects of dark matter halo around a galactic black hole
• Periapsis shifts in dark matter distribution around a black hole
• Detecting electric charge with Extreme Mass Ratio Inspirals
• Constraint on Brans-Dicke theory from intermediate/extreme mass ratio inspirals
• Periapsis shifts in dark matter distribution with a dense core

Cited by in corpus (10)

• Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes
• Detecting the massive vector field with extreme mass-ratio inspirals
• Imprints of extra dimensions in eccentric extreme-mass-ratio inspirals gravitational waveforms
• Effect of generic dark matter halo on transonic accretion onto galactic black holes
• The Impact of Dark Matter on Gravitational Wave Detection by Space-based Interferometers
• Distinguishing dark matter halos with Extreme mass ratio inspirals
• Detectability of dark matter density distribution via gravitational waves from binary black holes in the Galactic center
• Co-evolution of Nuclear Star Clusters and Massive Black Holes: Extreme Mass-Ratio Inspirals
• Gravitational waves from equatorially eccentric extreme mass ratio inspirals around swirling Kerr black holes
• Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals