2004/12/14 by W. Barreto, A. Da Silva, R. Gomez +7 · 17 citations
Mathematics · Physics and Astronomy · #Amplitude #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Einstein #General relativity #Geometry #Gravitation #Gravitational field #Gravitational wave #Massless particle #Mathematical physics #Mathematics #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Schwarzschild metric #Schwarzschild radius #gr-qc
paper · pdf · doi:10.1103/physrevd.71.064028
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 71(6) (American Physical Society) · 26 pages, 14 figures
arxiv created 2004/12/14 · openalex publication_date 2005/03/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We incorporate a massless scalar field into a three-dimensional code for the characteristic evolution of the gravitational field. The extended three-dimensional code for the Einstein-Klein-Gordon system is calibrated to be second-order convergent. It provides an accurate calculation of the gravitational and scalar radiation at infinity. As an application, we simulate the fully nonlinear evolution of an asymmetric scalar pulse of ingoing radiation propagating toward an interior Schwarzschild black hole and compute the backscattered scalar and gravitational outgoing radiation patterns. The amplitudes of the scalar and gravitational outgoing radiation modes exhibit the predicted power law scaling with respect to the amplitude of the initial data. For the scattering of an axisymmetric scalar field, the final ring down matches the complex frequency calculated perturbatively for the \ensuremathℓ=2 quasinormal mode.