What question did this study set out to answer?

This research aims to analyze gravitational waves in complex geometries featuring rotating black holes.

March 13, 2026Journal of High Energy Physics2 citationsOpen Access

Gravitational waves in the Myers-Perry geometry

OLOleg LuninUniversity at Albany, State University of New York

Key Points

This research aims to analyze gravitational waves in complex geometries featuring rotating black holes.
Analyzed equations governing gravitational waves in Myers-Perry and Gibbons-Lu-Page-Pope geometries.
Assumed at least one rotation parameter is zero for simplification.
Demonstrated full separability of equations for various polarizations.
Constructed examples of separable solutions for black holes.
Established separability of equations describing gravitational waves.
Identified separable solutions for gravitational excitations in rotating black holes.
Demonstrated implications for understanding gravitational dynamics in complex geometries.

Abstract

A bstract We analyze equations describing gravitational waves in the Myers-Perry and Gibbons-Lu-Page-Pope geometries with arbitrary rotation parameters. Assuming that at least one rotation parameter vanishes, we demonstrate full separability of equations for several polarizations of gravitational waves and analyze the resulting ODEs. We also construct some examples of separable solutions describing gravitational excitations of black holes with the maximal number of rotation parameters.

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