# Constant curvature black holes in Einstein AdS gravity: conserved quantities

## TL;DR

This paper investigates constant curvature black holes in Einstein AdS gravity, revealing they have zero mass and angular momentum in higher dimensions, with nonzero conserved quantities only in odd dimensions linked to vacuum energy.

## Contribution

It demonstrates that constant curvature black holes in Einstein AdS gravity have unique conserved properties, especially highlighting the dimensional dependence of their physical quantities.

## Key findings

- CCBHs have zero mass and angular momentum in dimensions ≥4.
- Nonvanishing conserved quantities exist only in odd dimensions.
- Conserved quantity in odd dimensions corresponds to vacuum (Casimir) energy.

## Abstract

We study physical properties of constant curvature black holes (CCBHs) in Einstein anti-de Sitter (AdS) gravity. These objects, which are locally AdS throughout the space, are constructed from identifications of global AdS spacetime, in a similar fashion as Banados-Teitelboim-Zanelli (BTZ) black hole in three dimensions. We find that, in dimensions equal or greater than four, CCBHs have zero mass and angular momentum. Only in odd dimensions we are able to associate a nonvanishing conserved quantity to these solutions, which corresponds to the vacuum (Casimir) energy of the spacetime.