D-Dimensional Log Gravity

TL;DR

This paper explores a modified Einstein gravity in higher dimensions at a critical point, revealing a new logarithmic mode and potential links to logarithmic conformal field theories, with special solutions exhibiting non-relativistic symmetries.

Contribution

It introduces a critical point in higher-dimensional Einstein gravity with curvature squared terms, uncovering a new logarithmic mode and solutions with non-relativistic symmetries.

Findings

Discovery of a logarithmic mode at the critical point.

Potential gravity duals of logarithmic CFTs in higher dimensions.

Existence of solutions with non-relativistic isometries.

Abstract

We study Einstein gravity in dimensions $D\geq 4$ modified by curvature squared at critical point where the theory contains only massless gravitons. We show that at the critical point a new mode appears leading to a logarithmic gravity in the theory. The corresponding logarithmic solution may provide a gravity description of logarithmic CFT in higher dimensions. We note also that for special values of the parameters of the theory, the model admits solutions with non-relativistic isometries.