The gravitomagnetic monopole I: The Schwarzschild universe

The purpose of this series of talks is to introduce Schwarzschild universe and a non-commutative generalization.  This first talk focuses on the Schwarzschild universe, by which we mean a maximal conformal analytic extension of the static, spherically symmetric space-time vacuum.  We shall discuss the structure of its null geodesics (they are elliptic curves), null geodesic deviation, and the theorem proven jointly by the speaker and George Sparling that every null geodesic in Schwarzschild "feels" the temperature of the singularity (a la Gibbons and Hawking).