Classical and quantum evolution of cosmological perturbations in different spacetime backgrounds

Details Classical and quantum evolution of cosmological perturbations in different spacetime backgrounds Classical and quantum evolution of cosmological perturbations in different spacetime backgrounds

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991stin...9218162a&link_type=abstract

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Physics

Cosmology, Harmonic Oscillators, Mathematical Models, Perturbation Theory, Quantum Theory, Space-Time Functions, Boundary Conditions, Equations Of Motion, Field Theory (Physics), Invariance, Perturbation, Relativity

Scientific paper

In this paper I discuss the evolution of cosmological perturbations on different cosmological backgrounds. Conformal transformations will be used to transform the equations of motion for perturbations which have time dependent coefficients into the equation of motion of a simple harmonic oscillator with constant frequency. In this way we may work out an exact solution for the equations of motion of the perturbations. By using the regularity boundary condition we pick up one particular solution for each mode. And from these regular solutions we evaluate the quantum state for each perturbation mode.

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