Axially symmetric ghost stars

TL;DR

This paper introduces axially symmetric ghost star solutions that match smoothly to flat spacetime, providing new examples of ghost stars with detailed analysis of their physical and geometrical properties.

Contribution

It presents a new class of static axially symmetric ghost star solutions with vanishing multipole moments and complexity factors, expanding the understanding of such exotic objects.

Findings

The solutions match smoothly to Minkowski spacetime.

Multipole moments and complexity factors vanish for the solution.

The model's physical and geometrical properties are thoroughly analyzed.

Abstract

We present static axially symmetric fluid distributions not producing gravitational field outside their boundaries (i.e. fluid sources which match smoothly on the boundary surface to Minkowski space-time). These solutions provide further examples of ghost stars. A specific model is fully described, and its physical and geometrical properties are analyzed in detail. This includes the multipole moment structure of the source and its complexity factors, both of which vanish for our solution.