Hydrodynamics in Class B Warped Spacetimes

TL;DR

This paper analyzes the properties of type B warped spacetimes, focusing on their material content, dynamics, and conditions for physical viability, including specific cases with radiating fluids and non-spherical metrics.

Contribution

It characterizes the physical and geometric constraints of type B warped spacetimes, revealing conditions for shear, anisotropy, and energy compliance, with explicit examples.

Findings

Shear and anisotropy must be proportional in Warped B spacetimes.

Certain warping factors influence the physical properties and energy conditions.

Examples include radiating fluids and non-spherical metrics depending on a parameter.

Abstract

We discuss certain general features of type B warped spacetimes which have important consequences on the material content they may admit and its associated dynamics. We show that, for Warped B spacetimes, if shear and anisotropy are nonvanishing, they have to be proportional. We also study some of the physics related to the warping factor and of the underlying decomposable metric. Finally we explore the only possible cases compatible with a type B Warped geometry which satisfy the dominant energy conditions. As an example of the above mentioned consequences we consider a radiating fluid and two non-spherically symmetric metrics which depend upon an arbitrary parameter, such that if the parameter vanishes the spherical symmetry is recovered.