The impact of relativistic corrections on the detectability of dark-matter spikes with gravitational waves
arXiv:2204.12508 · doi:10.1103/PhysRevD.106.044027
Abstract
Black holes located within a dark matter cloud can create overdensity regions known as dark matter spikes. The presence of spikes modifies the gravitational-wave signals from binary systems through changes in the gravitational potential or dynamical friction effects. We assess the importance of including relativistic effects in both the dark matter distribution and the dynamical friction. As a first step we numerically calculate the particle dark matter spike distribution in full general relativity, using both Hernquist and Navarro-Frenk-White profiles in a Schwarzschild background, and we produce analytical fits to the spike profiles for a large range of scale parameters. Then we use a post-Newtonian prescription for the gravitational-wave dephasing to estimate the effect of relativistic corrections to the spike profile and to the dynamical friction. Finally we include the torques generated by dynamical friction in fast-to-generate relativistic models for circular extreme mass-ratio inspirals around a nonspinning black hole. We find that both types of relativistic corrections positively impact the detectability of dark matter effects, leading to higher dephasings and mismatches between gravitational-wave signals with and without dark matter spikes.
arXiv comment11 pages, 6 figures, 3 tables
References in corpus (36)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Array Programming with NumPy
- A Universal Density Profile from Hierarchical Clustering
- Ultralight scalars as cosmological dark matter
- Dark matter annihilation at the galactic center
- 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
- Gravitational-Radiation Damping of Compact Binary Systems to Second Post-Newtonian order
- Self-force and radiation reaction in general relativity
- Estimating spinning binary parameters and testing alternative theories of gravity with LISA
- Gravitational self force in extreme mass-ratio inspirals
- Dark matter distributions around massive black holes: A general relativistic analysis
- FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
- Detecting dark matter around black holes with gravitational waves: Effects of dark-matter dynamics on the gravitational waveform
- 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
- Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
- On the estimation of the Local Dark Matter Density using the rotation curve of the Milky Way
- Second-order self-force calculation of the gravitational binding energy in compact binaries
- Gravitational-wave energy flux for compact binaries through second order in the mass ratio
- Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime
- Measuring the dark matter environments of black hole binaries with gravitational waves
- Reduced-order modeling with artificial neurons for gravitational-wave inference
- Extreme Dark Matter Tests with Extreme Mass Ratio Inspirals
- Eccentricity evolution of compact binaries and applications to gravitational-wave physics
- Dynamical friction of black holes in ultralight dark matter
- Accuracy of the Post-Newtonian Approximation: Optimal Asymptotic Expansion for Quasi-Circular, Extreme-Mass Ratio Inspirals
- Relativistic dynamical friction in a collisional fluid
- Circularization vs. Eccentrification in Intermediate Mass Ratio Inspirals inside Dark Matter Spikes
- Anatomy of Eddington-like inversion methods in the context of dark matter searches
- Stellar Abundance Maps of the Milky Way Disk
- Dark matter minispike: a significant enhancement of eccentricity for intermediate-mass-ratio-inspirals
- Accuracy of the post-Newtonian approximation. II. Optimal asymptotic expansion of the energy flux for quasicircular, extreme mass-ratio inspirals into a Kerr black hole
- Accuracy of the Post-Newtonian Approximation for Extreme-Mass Ratio Inspirals from Black-hole Perturbation Approach