How to Measure the Black Hole's Mass, Spin Parameter and Inclination Angle in Kerr Lens Effect 1: Principle and Formalism [HEAP]

http://arxiv.org/abs/1606.04716


We propose the principle of measuring the Kerr BH’s mass, spin parameter and the direction of the spin axis through observing two quantities of the spinning strong gravitational lens effect of the BH. Those observable quantities are generated by two rays emitted at the same time by a source near the BH; the primary and secondary rays which reach a distant observer, respectively, earliest and secondary temporally. The time delay between detection times and the ratio of observed specific fluxes of those rays are the observable quantities. Our numerical estimations imply a good detectability of those observable quantities by the present or near future telescope capability, and our proposal may be realizable in the near future. Also, the details of formulas for calculating the observable quantities are explained so that readers having interest in this paper can check our proposal quantitatively.

Read this paper on arXiv…

H. Saida
Thu, 16 Jun 16
11/67

Comments: 31 pages for body + 19 pages for appendices (total 50 pages), with fonts of 11pt. 14 figures including 4 numerical results. Under submission to the journal