91社区

The Department of Mathematics and Statistics invites you to attend the Ph.D. Oral Defense of聽Mr. Anusar Farooqui.

ABSTRACT

We consider the effect of spacetime geometry on the intrinsic spin of test particles. Specifically, we isolate and study the transformation of the intrinsic spin of photons and Dirac particles as they propagate along geodesics in Kerr geometry. Reference frames play a crucial role in the definition and measurement of the intrinsic spin of test particles. We show how observers located in the outer geometry of Kerr black holes may exploit the symmetries of the geometry to set up reference frames using purely geometric, locally-available information. Armed with these geometrically-defined reference frames, we investigate the geometrically-induced precession of test particles in the outer geometry of Kerr black holes. We analyze the intrinsic spin of both photons propagating along null geodesics and Dirac particles propagating along timelike geodesics.聽

COMMITTEE MEMBERS

Chair
Professor聽David A. Stephens, Department of聽Mathematics and Statistics, 91社区

Supervisors聽 聽
Professor Niky Kamran, Department of聽Mathematics and Statistics, 91社区
Professor Prakash Panangaden, School of Computer Science, 91社区

Internal Examiner
Professor Jacques Hurtubise, Department of聽Mathematics and Statistics, 91社区

External Member
Professor Pavel Winternitz, D茅partement de math茅matiques et de statistique,聽Universit茅 de Montr茅al

Pro-Dean
TBA