Abstract
My aim, in these lectures, will be to review some aspects of the theory of particle production by gravitational fields. Roughly speaking this theory deals with two rather different topics: particle production by black holes and particle production in cosmological contexts. Of these the former process is more completely understood, the latter, which may well lead to significant effects in the theory of the early universe, is less well understood since it is currently bedevilled by the question of what should be chosen as the quantum state of the field. For this reason as well as the exigencies of the available time I shall leave the subject of cosmological particle production entirely aside and concentrate instead on gaining an elementary understanding of the phenomenon of black hole radiance. Quite apart from its considerable intrinsic interest this will serve also to highlight the principal difference between electrodynamic and gravitational particle production namely the role played by boundary conditions and the global structure of the space-time manifold.
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