An Exact Conformal Symmetry Ansatz on Kaluza-Klein Reduced TMG

TL;DR

This paper introduces an exact conformal symmetry ansatz in Kaluza-Klein reduced TMG, enabling the derivation of many known stationary axisymmetric solutions through a novel symmetry-based approach.

Contribution

It presents a new conformal symmetry ansatz in Kaluza-Klein reduced TMG that reproduces many known solutions, offering a unified symmetry-based framework.

Findings

Derivation of known stationary axisymmetric solutions using the ansatz

Establishment of a conformal Killing symmetry in the reduced metric

Demonstration of the ansatz's effectiveness in TMG solutions

Abstract

Using a Kaluza-Klein dimensional reduction, and further imposing a conformal Killing symmetry on the reduced metric generated by the dilaton, we show an Ansatz that yields many of the known stationary axisymmetric solutions to TMG.