Einstein-Gauss-Bonnet Black Strings at Large $D$

Understand

We study the black string solutions in the Einstein-Gauss-Bonnet(EGB) theory at large $D$.

• By using the $1/D$ expansion in the near horizon region we derive the effective equations that describe the dynamics of the EGB black strings.
• The uniform and non-uniform black strings are obtained as the static solutions of the effective equations.
• From the perturbation analysis of the effective equations, we find that thin EGB black strings suffer from the Gregory-Laflamme instablity and the GB term weakens the instability when the GB coefficient is small, however, when the GB coefficient is large the GB term enhances the instability.