Comparison of Exact and perturbative Results for Two Metrics

TL;DR

This paper compares exact and perturbative methods for two metrics, demonstrating that perturbation-induced artifacts do not affect physically relevant quantities like the vacuum expectation value of the stress-energy tensor.

Contribution

It provides a detailed comparison showing the reliability of perturbative results for physically meaningful quantities in two metrics.

Findings

Perturbative effects are spurious and do not impact physical quantities.

Exact and perturbative results agree for key physical observables.

Perturbation methods are validated for certain physical calculations.

Abstract

We compare the exact and perturbative results in two metrics and show that the spurious effects due to the perturbation method do not survive for physically relevant quantities such as the vacuum expectation value of the stress-energy tensor.