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.
11 pages, 6 figures, 3 tables
References in corpus (17)
- Array Programming with NumPy
- Ultralight scalars as cosmological dark matter
- Can environmental effects spoil precision gravitational-wave astrophysics?
- Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
- 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
- Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
- Gravitational waves as a probe of dark matter mini-spikes
- 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
- Eccentricity evolution of compact binaries and applications to gravitational-wave physics
- Dynamical friction of black holes in ultralight dark matter
- Relativistic dynamical friction in a collisional fluid
- Circularization vs. Eccentrification in Intermediate Mass Ratio Inspirals inside Dark Matter Spikes
- Stellar Abundance Maps of the Milky Way Disk
- 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