Geometrical locus of massive test particle orbits in the space of physical parameters in Kerr space-time - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: Gravitational radiation of binary systems can be studied by using theadiabatic approximation in General Relativity. In this approach a smallastrophysical object follows a trajectory consisting of a chained series ofbounded geodesics orbits in the outer region of a Kerr Black Hole,representing the space time created by a bigger object. In our paper we studythe entire class of orbits, both of constant radius spherical orbits, as wellas non-null eccentricity orbits, showing a number of properties on the physicalparameters and trajectories. The main result is the determination of thegeometrical locus of all the orbits in the space of physical parameters in Kerrspace-time. This becomes a powerful tool to know if different orbits can beconnected by a continuous change of their physical parameters. A discussion onthe influence of different values of the angular momentum of the hole is given.Main results have been obtained by analytical methods.



Author: F. Fayos, Ch. Teijon-Lumbreras

Source: https://arxiv.org/







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