Entropy of Rotating Misner String Spacetimes

TL;DR

This paper calculates the energy, entropy, and angular momentum of rotating Misner string spacetimes using a boundary counterterm approach, revealing that entropy deviates from the area law when NUT charge is present and is bounded with a non-zero cosmological constant.

Contribution

It extends the analysis of Misner string spacetimes to rotating cases with a boundary counterterm method, showing deviations from the area law and entropy bounds.

Findings

Entropy differs from quarter-area in the presence of NUT charge.

Entropy is bounded above when the cosmological constant is non-zero.

The boundary counterterm method effectively evaluates conserved quantities in these spacetimes.

Abstract

Using a boundary counterterm prescription motivated by the AdS/CFT conjecture, I evaluate the energy, entropy and angular momentum of the class of Kerr-NUT/bolt-AdS spacetimes. As in the non-rotating case, when the NUT charge is nonzero the entropy is no longer equal to one-quarter of the area due to the presence of the Misner string. When the cosmological constant is also non-zero, the entropy is bounded from above.