A new paper presents a solution of three-dimensional Galilean Anti-de Sitter gravity that reproduces the thermal properties of a black hole. The theory is formulated as a topological gauge theory invariant under the doubly extended Newton-Hooke group in 3D, and the solution found carries four conserved charges: energy, angular momentum, spin and rest mass.

The most striking feature of the result is an upper bound: the magnitude of the spin is limited by the rest mass of the configuration. This kind of constraint recalls those appearing in higher-dimensional black holes, but here it emerges from the gauge structure of Galilean gravity, a framework describing non-relativistic limits of general relativity that has gained interest in the study of dualities and many-body systems.

The temperature, angular velocity and other chemical potentials of the solution are obtained from regularity conditions associated with the topology of the Euclidean continuation of the metric. This is the same procedure used in conventional Anti-de Sitter black holes to extract thermodynamic quantities, allowing the configuration to be identified as a genuine black hole in terms of its gauge-theoretical description.

The work also shows that, as the temperature drops to zero, an extreme configuration emerges precisely when the bound between spin and rest mass is saturated. Whether this solution admits analogues in higher dimensions, or whether the same constraints survive when the symmetry group is deformed, remains to be seen.