Ultrarelativistic boost of spinning black rings

TL;DR

This paper investigates the ultrarelativistic boost of five-dimensional spinning black rings, deriving shock wave solutions and analyzing their properties, including special cases like supersymmetric rings, to understand their behavior at near-light speeds.

Contribution

It provides an analytical derivation of shock pp-wave solutions resulting from boosting spinning black rings, including equilibrium conditions and comparisons with boosted Myers-Perry black holes.

Findings

Shock pp-wave solutions for boosted black rings derived analytically

Equilibrium conditions simplify the solutions and reveal physical insights

Distinct features identified between boosted black rings and Myers-Perry black holes

Abstract

We study the D=5 Emparan-Reall spinning black ring under an ultrarelativistic boost along an arbitrary direction. We analytically determine the resulting shock pp-wave, in particular for boosts along axes orthogonal and parallel to the plane of rotation. The solution becomes physically more interesting and simpler if one enforces equilibrium between the forces on the ring. We also comment on the ultrarelativistic limit of recently found supersymmetric black rings with two independent angular momenta. Essential distinct features with respect to the boosted Myers-Perry black holes are pointed out.