English

Generalization of Equatorial Impact-Parameter Formulas for Rotating Bodies

General Physics 2017-06-07 v2 General Relativity and Quantum Cosmology

Abstract

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.

Keywords

Cite

@article{arxiv.0904.4000,
  title  = {Generalization of Equatorial Impact-Parameter Formulas for Rotating Bodies},
  author = {James Graber},
  journal= {arXiv preprint arXiv:0904.4000},
  year   = {2017}
}

Comments

Corrected deadly typo, crucial missing exponent replaced in four places

R2 v1 2026-06-21T12:55:04.419Z