Generalization of Equatorial Impact-Parameter Formulas for Rotating Bodies

Details Generalization of Equatorial Impact-Parameter Formulas for Rotating Bodies Generalization of Equatorial Impact-Parameter Formulas for Rotating Bodies

2009-04-26

arxiv.org/abs/0904.4000v1

Physics

General Physics

Scientific paper

This paper computes co-rotating and contra-rotating impact-parameter formulas in the plane of symmetry for any plane symmetric and axisymmetric rotating body in all metric theories of gravity, including general relativity. Impact-parameter formulas are useful to compute the appearance of accreting black holes, neutron stars, and other emitting or reflecting matter near a gravitationally compact rotating body. These rotating-body impact-parameter formulas generalize similar impact-parameter formulas for the Kerr case derived by Bardeen and coworkers in 1972, and another general-metric formula for the spherical case published by Bodenner and Will in 2003.

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