Boson stars with repulsive selfinteractions

TL;DR

This paper investigates boson stars with repulsive self-interactions, revealing a universal mass-radius relation and showing that interaction strength significantly influences their maximum mass and size.

Contribution

It introduces a scaling property for boson stars with repulsive interactions, demonstrating how their maximum mass and radius depend linearly on interaction strength.

Findings

Existence of a universal mass-radius relation for boson stars with repulsive interactions.

Maximum mass and radius scale linearly with interaction strength.

Radius remains nearly constant over a wide mass range.

Abstract

The properties of compact stars made of massive bosons with a repulsive selfinteraction mediated by vector mesons are studied within the mean-field approximation and general relativity. We demonstrate that there exists a scaling property for the mass-radius curve for arbitrary boson masses and interaction strengths which results in an universal mass-radius relation. The radius remains nearly constant for a wide range of compact star masses. The maximum stable mass and radius of boson stars are determined by the interaction strength and scale with the Landau mass and radius. Both, the maximum mass and the corresponding radius increase linearly with the interaction strength so that they can be radically different compared to the other families of boson stars where interactions are ignored.