An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole(Astrophysics and Cosmology)
スポンサーリンク
概要
- 論文の詳細を見る
We develop a numerical code to compute gravitational waves induced by a particle moving on eccentric inclined orbits around a Kerr black hole. For such systems, the black hole perturbation method is applicable. The gravitational waves can be evaluated by solving the Teukolsky equation with a point like source term, which is computed from the stress-energy tensor of a test particle moving on generic bound geodesic orbits. In our previous papers, we computed the homogeneous solutions of the Teukolsky equation using a formalism developed by Mano, Suzuki and Takasugi and showed that we could compute gravitational waves efficiently and very accurately in the case of circular orbits on the equatorial plane. Here, we apply this method to eccentric inclined orbits. The geodesics around a Kerr black hole have three constants of motion: energy, angular momentum and the Carter constant. We compute the rates of change of the Carter constant as well as those of energy and angular momentum. This is the first time that the rate of change of the Carter constant has been evaluated accurately. We also treat the case of highly eccentric orbits with e=0.9. To confirm the accuracy of our codes, several tests are performed. We find that the accuracy is only limited by the truncation of l-, k- and n-modes, where l is the index of the spin-weighted spheroidal harmonics, and n and k are the harmonics of the radial and polar motion, respectively. When we set the maximum of l to 20, we obtain a relative accuracy of 10^<-5> even in the highly eccentric case of e=0.9. The accuracy is better for lower eccentricity. Our numerical code is expected to be useful for computing templates of the extreme mass ratio inspirals, which is one of the main targets of the Laser Interferometer Space Antenna (LISA).
- 理論物理学刊行会の論文
- 2009-04-25
著者
-
HIKIDA Wataru
Department of Earth and Space Science, Graduate School of Science, Osaka University
-
TAGOSHI Hideyuki
Department of Physics, Kyoto University
-
Hikida Wataru
Department Of Earth And Space Science Graduate School Of Science Osaka University
-
FUJITA Ryuichi
Theoretical Physics, Raman Research Institute
-
Fujita Ryuichi
Theoretical Physics Raman Research Institute:department Of Earth And Space Science Graduate School O
-
Tagoshi Hideyuki
Department Of Earth And Space Science Graduate School Of Science Osaka University
関連論文
- Adiabatic Evolution of Three 'Constants' of Motion for Greatly Inclined Orbits in Kerr Spacetime(Astrophysics and Relativity)
- Adiabatic Evolution of Orbital Parameters in Kerr Spacetime(Astrophysics and Relativity)
- Adiabatic Radiation Reaction to Orbits in Kerr Spacetime
- A New Analytical Method for Self-Force Regularization. I : Charged Scalar Particles in Schwarzschild Spacetime(Astrophysics and Relativity)
- Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole : Effects of Black Hole Absorption : Astrophysics and Relativity
- Gravitational Waves by a Particle in Circular Orbits around a Schwarzschild Black Hole : 5.5 Post-Newtonian Formula : Astrophysics and Relativity
- Gravitational Wave Induced by a Particle Orbiting around a Schwarzschild Black Hole : Astrophysics and Relativity
- Magnification Probability Distribution Functions of Standard Candles in a Clumpy Universe(Astrophysics and Cosmology)
- An Improved Template Space for Gravitational Ringing of Black Holes(Astrophysics and Relativity)
- Chapter 1 Black Hole Perturbation
- An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole(Astrophysics and Cosmology)
- Post-Newtonian Expansion of Gravitational Waves from a Compact Star Orbiting a Rotating Black Hole in Brans-Dicke Theory : Circular Orbit Case : Astrophysics and Relativity
- Post-Newtonian Expansion of Gravitational Waves from a Particle in Slightly Eccentric Orbit around a Rotating Black Hole
- New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II : Solutions of the Continued Fraction Equation(Astrophysics and Relativity)
- Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbit around a Schwarzschild Black Hole : Astrophysics and Relativity
- New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation(Astrophysics and Relativity)
- A New Analytical Method for Self-Force Regularization.II : Testing the Efficiency for Circular Orbits(Astrophysics and Relativity)
- New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II : Solutions of the Continued Fraction Equation(Astrophysics and Relativity)