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Numerical relativistic model of a massive particle in orbit near a Schwarzschild black hole -: art. no. 084015

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PHYSICAL REVIEW D
卷 68, 期 8, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.68.084015

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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 nonzero source term in the Einstein equations. The matter fields are not evolved by hydrodynamic equations. Instead the particle is treated as a quasirigid 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.

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