Post-Newtonian properties of EMRI with Power Law Potential
arXiv:2101.10598 · doi:10.1140/epjc/s10052-021-09500-2
Abstract
There are many astrophysical scenarios where extreme mass ratio inspiral (EMRI) binaries can be surrounded by matter distribution. The distribution of mass can affect the dynamical properties (e.g. orbital frequency, average energy radiation rate, etc.) of the EMRI. In this matter distribution, instead of Kepler-Newton potential, one may consider a more general form of potential i.e. power law potential. Moreover, due to the power law potential, the velocity profile of test particles does not fall as much as that predicted by Kepler-Newton potential and this feature of the velocity profile may be observationally important. In this study, we have obtained the first post-Newtonian (1PN) expressions for dynamical quantities and the average energy radiation rate from the circular orbit EMRI which is surrounded by a matter distribution. We show that the energy radiation rate and orbital frequency of EMRI can be significantly different in the presence of power law potential as compared to that in the Kepler-Newton potential, signatures of which may be observed in gravitational waves from EMRI.
arXiv comment12 pages, 8 figures
References in corpus (26)
- The Structure of Cold Dark Matter Halos
- Relativistic gravitation theory for the MOND paradigm
- Rotation Curves of Spiral Galaxies
- LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
- Scalar-Tensor-Vector Gravity Theory
- Low-frequency gravitational-wave science with eLISA/NGO
- Galaxy Rotation Curves Without Non-Baryonic Dark Matter
- Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors
- Gravitational Theory, Galaxy Rotation Curves and Cosmology without Dark Matter
- Prospects for observing extreme-mass-ratio inspirals with LISA
- Cores of Dark Matter Halos Correlate with Disk Scale Lengths
- Extreme Mass Ratio Inspirals: LISA's unique probe of black hole gravity
- Timelike geodesics in Naked Singularity and Black Hole Spacetimes
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Galaxy rotation curves from General Relativity with Renormalization Group corrections
- 2dFGRS and SDSS Galaxy Group Density Profiles
- Astrophysics of Bertrand Space-times
- Simple, Accurate, Approximate Orbits in the Logarithmic and a Range of Power-Law Galactic Potentials
- Dark-matter dynamical friction versus gravitational-wave emission in the evolution of compact-star binaries
- Galactic Dark Matter and Bertrand Space-times
- Analytic Central Orbits and their Transformation Group
- A Study of the Orbits of the Logarithmic Potential for Galaxies
- Natural orbit approximations in single power-law potentials
- Galaxy rotation curves. The theory
- Self-gravitating fluid systems and galactic dark matter
- Galactic space-times in modified theories of gravity