The semi classical cosmology approximation for a Friedman Robertson Walker geometry coupled to a field

TL;DR

This paper develops a semi-classical approximation method for Friedmann-Robertson-Walker cosmologies coupled to a field, using a power series expansion to solve the resulting equations.

Contribution

It introduces a novel power series approach with radius-dependent coefficients to analyze semi-classical cosmological models.

Findings

Derived equations for the power series coefficients.

Provided solutions for the coefficients in the semi-classical approximation.

Enhanced understanding of field interactions in cosmological geometries.

Abstract

The semi classical cosmology approximation for a Friedman Robertson Walker geometry coupled to a field is considered. A power series of the field with coefficients that depend on the radius of the geometry is proposed, and the equations for the coefficients are solved.