Intersecting black branes in strong gravitational waves

TL;DR

This paper studies intersecting black branes with strong gravitational waves in supergravity, reducing complex equations to integrable systems for specific configurations, enabling detailed analysis of their gravitational dynamics.

Contribution

It introduces a new ansatz that simplifies the equations of motion for intersecting black branes with gravitational waves, revealing integrable cases and advancing understanding of their solutions.

Findings

Equations of motion reduce to ordinary differential equations.

Special arrangements lead to integrable Toda-like systems.

Facilitates detailed analysis of gravitational wave effects on black branes.

Abstract

We consider intersecting black branes with strong gravitational waves propagating along their worldvolume in the context of supergravity theories. Both near-horizon and space-filling gravitational wave modes are included in our ansatz. The equations of motion (originally, partial differential equations) are shown to reduce to ordinary differential equations, which include a Toda-like system. For special arrangements of intersecting black branes, the Toda-like system becomes integrable, permitting a more thorough analysis of the gravitational equations of motion.