Black branes with cosmological constant

TL;DR

This paper investigates the properties and dynamics of neutral black branes with cosmological constant, reducing complex equations to simpler forms and analyzing their geometries and asymptotics.

Contribution

It introduces a reduction of black brane equations to a single second-order ODE and explores their geometrical and asymptotic properties.

Findings

Reduced brane dynamics to a second-order ODE

Analyzed regular geometries with AdS asymptotics

Identified Abel equation governing spacetime dynamics

Abstract

We study neutral black branes with flat and curved worldvolumes in the presence of a negative cosmological constant. We reduce the equations governing the dynamics of such objects to one second--order ODE and perform various asymptotic expansions of the resulting equation. We also analyze regular geometries which have the same symmetries as the branes and interpolate between an empty interior and AdS asymptotics. We show that the dynamics of such spacetimes is governed by the Abel equation.