R^2 Corrections for 5D Black Holes and Rings

TL;DR

This paper investigates higher-order curvature corrections to 5D black hole solutions, specifically black rings and spinning black holes, analyzing their effects on entropy and comparing with microscopic models.

Contribution

It provides the first detailed analysis of R^2 corrections in 5D supergravity solutions, linking macroscopic corrections to microscopic entropy calculations.

Findings

Black ring entropy corrections match microscopic predictions.

Partial agreement of corrections for spinning black holes with 4D models.

Highlights limitations in understanding F-type terms in 5D supergravity.

Abstract

We study higher-order corrections to two BPS solutions of 5D supergravity, namely the supersymmetric black ring and the spinning black hole. Due in part to our current relatively limited understanding of F-type terms in 5D supergravity, the nature of these corrections is less clear than that of their 4D cousins. Effects of certain $R^2$ terms found in Calabi-Yau compactification of M-theory are specifically considered. For the case of the black ring, for which the microscopic origin of the entropy is generally known, the corresponding higher order macroscopic correction to the entropy is found to match a microscopic correction, while for the spinning black hole the corrections are partially matched to those of a 4D $D0-D2-D6$ black hole.