New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II : Solutions of the Continued Fraction Equation(Astrophysics and Relativity)
スポンサーリンク
概要
- 論文の詳細を見る
We investigate the solution of the continued fraction equation by which we determine "the renormalized angular momentum parameter", ν, in the formalism developed by Leaver and Mano, Suzuki and Takasugi. In this formalism, we describe the homogeneous solutions of the radial Teukolsky equation, which is the basic equation of the black hole perturbation formalism. We find that, contrary to the assumption made in previous works, the solution, ν, becomes complex valued as ω (the angular frequency) becomes large for each ι and m (the degree and order of the spin-weighted spheroidal harmonics). We compare the power radiated by gravitational waves from a particle in a circular orbit in the equatorial plane around a Kerr black hole in two ways, one using the Mano-Suzuki-Takasugi formalism with complex ν and the other using a direct numerical integration method. We find that the two methods produce consistent results. These facts prove the validity of using complex solutions to determine the homogeneous solutions of the Teukolsky equation.
- 理論物理学刊行会の論文
- 2005-06-25
著者
-
Fujita Ryuichi
Department Of Earth And Space Science Graduate School Of Science Osaka University
-
Tagoshi Hideyuki
Osaka Univ. Toyonaka Jpn
-
Tagoshi Hideyuki
Department Of Earth And Space Science Graduate School Of Science Osaka University
関連論文
- 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)
- 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 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)
- New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II : Solutions of the Continued Fraction Equation(Astrophysics and Relativity)