# *New Course this Fall*

Phys-696-001

Prerequisites: A first course in general relativity, including the idea of a Lie derivative and Killing vector fields

The course will start with a heuristic account of the *Chandrasekhar limit *for white dwarfs and the maximum mass of neutron stars. This motivates the study of *spheri- cally symmetric gravitational collapse *and the introduction of *Eddington-Finkelstein and Krusakl coordinates*. Causal structure is illustrated by the introduction of *Carter-Penrose diagrams
*and Penroseās notion of a *Conformal Boundary*.

The notion of *geodesic completeness
*is defined and by an examination of geodesics it is shown that the Kruskal extension is maximal. Although of no great astrophysical signif- icance the Reissner-Nordstrom metrics are studied
in preparation for the more challenging case of the *Kerr solution*. The uniqueness or *No
Hair *properties of the Schwarzschild and Kerr
solution are described and a particular case derived using the so-called Weyl metrics. The next
part of the course is
devoted to the *classical thermodynamic properties *of black holes. The course concludes with
an account of *quantum field theory in a curved back ground*
and
a derivation derivation of the *Hawking effect*.

A useful reference for the course may be found in the lecture notes of Paul Townsend (gr-qc:9707012), which were based on an earlier version of the present course.

**TUESDAYS & THURSDAYS ONLY**