Higher-Dimensional Black Holes and Effective Field Theory

TL;DR

This paper investigates the scalar tidal responses of higher-dimensional spinning black holes using effective field theory, revealing non-zero responses in general and patterns of zeroes in special cases across various black hole solutions.

Contribution

It develops an effective field theory framework for spinning black holes in arbitrary dimensions and applies it to analyze their scalar responses in different regimes.

Findings

Scalar responses are generally non-zero for higher-dimensional spinning black holes.

Patterns of zero responses are identified in special cases.

Relations between different response properties are observed.

Abstract

We study the scalar tidal responses of spinning higher-dimensional black holes, and their effective field theory description. After constructing the effective field theory of a spinning point particle in general dimension, we apply this theory to match the scalar responses of a variety of black hole solutions. In addition to the five-dimensional Myers--Perry black hole, we derive the scalar responses of spinning black holes in the large $D$ limit, and also study the responses of black holes in the ultra-spinning regime. We find that in the most generic case, the static responses of higher-dimensional spinning black holes do not vanish, but for special cases we find a pattern of zeroes in the responses, similar to other known examples. Further, we observe various interesting relations between the responses.