Semiclassical effects on black holes

Physics

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Quantum Gravity, Spin Fields

Scientific paper

In an attempt to understand the effects quantum mechanical processes will have in general relativity without knowing the theory of quantum gravity, many relativist have turned to semiclassical gravity. The term semiclassical arises from the fact that the Einstein equations from classical general relativity have been converted so that they are partly quantum mechanical. In particular, any matter fields present in the system are quantized. Semiclassical gravity has provided a number of important results, not the least of which is the discovery that black holes are thermodynamic objects. Semiclassical gravity will be used in this thesis to investigate the effects that quantum mechanical processes will have on black holes. In the first section zero temperature black hole solutions will attempt to be found using semiclassical gravity. These zero temperature solutions would be remnants, black holes at the endpoint of their evaporation. In particular the solutions will be charged black holes for which the classical solution has a temperature very near zero, or equivalently one whose charge is nearly equal to its mass. A black hole which has a charge very nearly equal to its mass will then be placed in the presence of either a massless or a massive quantized scalar field. The presence of this field can perturb the temperature of the black hole from nearly zero to precisely zero for particular values of the coupling constant. The second section will concern the evolution of an evaporating black hole which is initially rotating. The conventional viewpoint of black hole evolution is that a black hole which is initially highly rotating will lose most of its angular momentum by the time it has lost approximately half of its mass. This result was determined by calculating the scattering amplitude of spin 1/2, spin 1 and spin 2 fields off of the black hole. A hole which is radiating solely into a massless scalar field will not approach a state where J/M2 = 0. The addition of a scalar field to the nonzero spin fields is found to have a small effect on the evolution.

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