Non-uniform black strings and the critical dimension in the $1/D$ expansion

Understand

Non-uniform black strings (NUBS) are studied by the large $D$ effective theory approach.

• By solving the near-horizon geometry in the $1/D$ expansion, we obtain the effective equation for the deformed horizon up to the next-to-next-to-leading order (NNLO) in $1/D$.
• We also solve the far-zone geometry by the Newtonian approximation.
• Matching the near and far zones, the thermodynamic variables are computed in the $1/D$ expansion.