A numerical relativistic model of a massive particle in orbit near a 
Schwarzschild black hole

Bishop, Nigel T.; Gomez, Roberto; Husa, Sascha; Lehner, Luis; Winicour, Jeffrey

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A numerical relativistic model of a massive particle in orbit near a Schwarzschild black hole

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Husa, Sascha
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour, Jeffrey
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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引用

Bishop, N. T., Gomez, R., Husa, S., Lehner, L., & Winicour, J. (2003). A numerical relativistic model of a massive particle in orbit near a Schwarzschild black hole. Physical Review D, 68:.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-52C9-B

要旨

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a non-zero source term in the Einstein equations. The matter fields are not evolved by hydrodynamic equations. Instead the particle is treated as a rigid body whose center follows a geodesic. The necessary theoretical framework is developed and then implemented in a computer code that uses the null-cone, or characteristic, formulation of numerical relativity. The performance of the code is illustrated in test runs, including a complete orbit (near r = 9M) of a Schwarzschild black hole.