Gravitating Q-tubes and cylindrical spacetime

TL;DR

This paper investigates cylindrically symmetric solutions in a gravity-scalar field model, revealing static and stationary gravitating Q-tubes that deform spacetime, extending Kasner solutions.

Contribution

It introduces a general ansatz for coupled gravity-scalar equations, deriving new static and stationary Q-tube solutions with analytical extensions of Kasner metrics.

Findings

Existence of static and stationary gravitating Q-tubes

Analytical solutions extending Kasner spacetime

Scalar field configurations depend on all spacetime coordinates

Abstract

We consider a model involving a self-interacting complex scalar field minimally coupled to gravity and emphasize the cylindrically symmetric classical solutions. A general ansatz is performed which transforms the field equations into a system of differential equations. In the generic case, the scalar field depends on the four space-time coordinates. The underlying Einstein vacuum equations are worth studying by themselve and lead to numerous analytic results extending the Kasner solutions. The solutions of the coupled system are -static as well as stationnary- gravitating Q-tubes of scalar matter which deform space-time.