Stability of asymptotically flat (2+1)-dimensional black holes with Gauss-Bonnet corrections

TL;DR

This paper demonstrates that (2+1)-dimensional asymptotically flat black holes with Gauss-Bonnet corrections are dynamically stable under scalar perturbations, even near extreme coupling values, using time-domain wave equation analysis.

Contribution

It provides the first stability analysis of such black holes with Gauss-Bonnet corrections in (2+1) dimensions.

Findings

Scalar perturbations decay over time indicating stability.

Stability persists even at near-extreme coupling constants.

Time-domain analysis confirms dynamical stability.

Abstract

Using the integration of wave equation in time-domain we show that scalar field perturbations around the $(2+1)$-dimensional asymptotically flat black hole with Gauss-Bonnet corrections is dynamically stable even for the near extreme values of the coupling constant.