Rotating Black Holes in Cubic Gravity

TL;DR

This paper derives rotating black hole solutions in cubic gravity theories using amplitude methods, providing explicit metrics and analyzing their scattering properties, which advances understanding of black holes in modified gravity models.

Contribution

It introduces a method to obtain rotating black hole solutions in cubic gravity theories and connects these solutions to effective string theory and scattering phenomena.

Findings

Explicit rotating black hole metrics in Einsteinian Cubic Gravity and string theory.

Classical potential expressed as a differential operator in spin.

Derived classical impulse and scattering angle for rotating black holes.

Abstract

Using on-shell amplitude methods, we derive a rotating black hole solution in a generic theory of Einstein gravity with additional terms cubic in the Riemann tensor. We give an explicit expression for the metric in Einsteinian Cubic Gravity (ECG) and low energy effective string theory, which correctly reproduces the previously discovered solutions in the zero angular-momentum limit. We show that at first order in the coupling, the classical potential can be written to all orders in spin as a differential operator acting on the non-rotating potential, and we comment on the relation to the Janis-Newman algorithm. Furthermore, we derive the classical impulse and scattering angle for such a black hole and comment on the phenomenological interest of such quantities.