Analytic corrections to AdS by scalar matter and curvature squared term

TL;DR

This paper revisits higher derivative gravity with scalar matter, providing a perturbative analysis of corrections to the background solution and geometry using a specific metric ansatz.

Contribution

It introduces a new perturbative approach to analyze scalar and geometric corrections in higher derivative gravity theories.

Findings

Derived first-order perturbative corrections to scalar fields and geometry.

Provided a systematic method for analyzing higher derivative gravity with scalar matter.

Clarified the structure of corrections in the context of AdS backgrounds.

Abstract

We revisit the background solution for scalar matter coupled higher derivative gravity originally reported in arXiv: 1409.8019[hep-th]. In this letter, we choose a convenient ansatz for metric which determines the first order perturbative corrections to scalar as well as geometry.