Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...427..542h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 427, no. 2, p. 542-561
Astronomy and Astrophysics
Astrophysics
34
Astrophysics, Cosmology, Field Theory (Physics), Gauge Theory, Perturbation, Perturbation Theory, Universe, Curvature, Expansion, Inflating, Newton Theory, Quantum Theory
Scientific paper
A method of dealing with cosmological perturbations was suggested recently which allows a simple way of choosing the gauge appropiate to each separate problem. Using this method, if we have one solution in a particular gauge we can easily derive the rest of the solutions in all the other gauges. In this paper we apply the method to a medium dominated by a minimally coupled scalar field. By considering full metric perturbations we are doing scalar field quantum field theory in a spatially flat homogeneous and isotropic background spacetime, now including the metric perturbations as additonal quantum fields consistently excited from the scalar field perturbations. Asymptotic solutions in a general potential case, and the exact solutions in an exponential potential case -- thus a power-law expanding background case -- are presented in tabular forms. Perturbations in de Sitter space -- thus an exact exponentially expanding background case -- need a separate treatment which is also presented. It is interesting to note that it is in the case that takes into account the full metric perturbations which allows more self-consistent analysis, compared to the one based on pure background metric. We identify the uniform-curvature gauge as providing the simple analysis in the scalar field perturbations. The full solutions may provide a wider perspective on the subject.
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