Post-Newtonian effects in compact binaries with a dark matter spike: A Lagrangian approach
arXiv:2401.06084 · doi:10.3390/universe10110427
Abstract
We apply the Lagrangian method to study the post-Newtonian evolution of a compact binary system with environmental effects, including a dark matter spike, and obtain the resulting gravitational wave emission. This formalism allows one to incorporate post-Newtonian effects up to any desired known order, as well as any other environmental effect around the binary, as long as their dissipation power or force formulae are known. In particular, in this work, we employ this method to study a black hole--black hole binary system of mass ratio by including post-Newtonian effects of order 1PN and 2.5PN, as well as the effect of relativistic dynamical friction. We obtain the modified orbits and the corresponding modified gravitational waveform. Finally, we contrast these modifications against the LISA sensitivity curve in frequency space and show that this observatory can detect the associated signals.
20 pages, 6 figures; V2: added two figures and additional information based on referees' comments. Matches the published version
References in corpus (29)
- A Universal Density Profile from Hierarchical Clustering
- Particle Dark Matter: Evidence, Candidates and Constraints
- TianQin: a space-borne gravitational wave detector
- Tests of general relativity with GW150914
- Dark matter annihilation at the galactic center
- A New Era in the Quest for Dark Matter
- Cosmology with the Laser Interferometer Space Antenna
- New Horizons for Fundamental Physics with LISA
- 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
- 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
- On the unreasonable effectiveness of the post-Newtonian approximation in gravitational physics
- Measuring the dark matter environments of black hole binaries with gravitational waves
- Anomaly-free cosmological perturbations in effective canonical quantum gravity
- Eccentricity evolution of compact binaries and applications to gravitational-wave physics
- Gravitational waves with dark matter minispikes: the combined effect
- Circularization vs. Eccentrification in Intermediate Mass Ratio Inspirals inside Dark Matter Spikes
- The Mock LISA Data Challenges: An overview
- Measuring dark matter spikes around primordial black holes with Einstein Telescope and Cosmic Explorer
- Analytical models of supermassive black holes in galaxies surrounded by dark matter halos
- Dark matter minispike: a significant enhancement of eccentricity for intermediate-mass-ratio-inspirals
- Comparing Accretion Disks and Dark Matter Spikes in Intermediate Mass Ratio Inspirals
- Intermediate Mass-Ratio Inspirals with Dark Matter Minispikes
- Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
- What do gravitational wave detectors say about polymer quantum effects?
- Constraining the quantum gravity polymer scale using LIGO data
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- Black hole in the Dekel-Zhao dark matter profile
- Sharpening the dark matter signature in gravitational waveforms I: Accretion and eccentricity evolution
- Sharpening the dark matter signature in gravitational waveforms II: Numerical simulations with the NbodyIMRI code
- Mass and spin coevolution of black holes inspiralling through dark matter