Quantization of a scalar field in the Kerr spacetime
Abstract
A discussion of field quantization in a curved background spacetime is presented, with emphasis on the quantization of a scalar field in the Kerr spacetime. Ambiguity in the choice of a Fock space is discussed. The example of quantized fields in a rotating frame of reference in Minkowski space is analyzed, and it is shown that there is a preferred choice of states which makes particle number an invariant under transformation to the rotating frame. This choice allows the existence of negative energy quanta of the field. The KleinGordon equation in the Kerr metric is studied and some properties of its solutions reviewed. The quantum mechanics of a single scalar particle in a Kerr gravitational field is developed in terms of the FeshbachVillars twocomponent formalism. In particular, the weak field limit of this equation is examined. The limits of the single particle theory are pointed out. A perturbation analysis is used to determine the single particle energy levels as functions of the angular momentum of the Kerr field.
 Publication:

Ph.D. Thesis
 Pub Date:
 May 1974
 Bibcode:
 1974PhDT.........6F
 Keywords:

 Kerr Effects;
 Measurement;
 Quantum Mechanics;
 Scalars;
 Angular Momentum;
 Perturbation;
 SpaceTime Functions;
 Astrophysics