Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610

TL;DR

This paper corrects a sign error in the variation of the on-shell action in cosmological topologically massive gravity at the chiral point, updating the Brown-York stress tensor without altering the main conclusions.

Contribution

It provides a corrected formulation of the Brown-York stress tensor in the theory, aligning with recent literature and clarifying previous results.

Findings

Corrected the sign in the first variation of the on-shell action.

Updated the finite part of the Brown-York stress tensor.

Confirmed the stress tensor remains finite, conserved, and traceless.

Abstract

We correct a sign in the first variation of the on-shell action of cosmological topologically massive gravity at the chiral point and present the three equations affected by that sign. While this does not change any of the main conclusions of arXiv:0805.2610, it modifies the finite part of the Brown-York stress tensor. Our corrected Brown-York stress tensor is still finite, conserved and traceless, but no longer coincides with that of global AdS_3. It agrees with results found in recent literature.