Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16...43c&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Jan. 1984, p. 43-70.
Astronomy and Astrophysics
Astronomy
3
Black Holes (Astronomy), Gravitation Theory, Orbits, Relativistic Theory, Space-Time Functions, Equations Of Motion, Geodesic Lines
Scientific paper
The positions of orbits around a Kerr black hole are studied with respect to its ergosphere. The r-theta motions of zero-energy (E=0) null geodesics are inside truncated circular sectors, whose outer corners are on the static limit. Timelike geodesics with the same constants of motion are restricted inside a smaller area. For certain parameter values there are also orbits inside the inner horizon not reaching the center. The various types of orbits on the plane of symmetry are then studied for all the values of the angular momentum of the black hole a (A less than or equal to M and greater than or equal to 0), the angular momentum L of the photons or particles, and the energy E. In particular, the possible positions of the turning points with respect to the ergosphere are found. A restriction imposed by physical considerations is that the coordinate time increases when the proper time increases. This makes it possible to distinguish between positive and negative energy orbits. All negative energy orbits energy the horizon of the black hole.
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