TOPICAL REVIEW: General relativistic boson stars
Franz E. Schunck, Eckehard W. Mielke

TL;DR
This review discusses the theoretical properties, classifications, and potential observational signatures of boson stars, a hypothetical compact object formed from scalar fields, with implications for dark matter and gravitational wave detection.
Contribution
It provides a comprehensive overview of different types of boson stars, their stability, structure, and possible signals for detection, highlighting recent theoretical developments.
Findings
Boson stars can be stable and have structured layers.
They may contribute to dark matter and affect galactic rotation curves.
Potential observational signals include gravitational waves and lensing.
Abstract
There is accumulating evidence that (fundamental) scalar fields may exist in Nature. The gravitational collapse of such a boson cloud would lead to a boson star (BS) as a new type of a compact object. Similarly as for white dwarfs and neutron stars, there exists a limiting mass, below which a BS is stable against complete gravitational collapse to a black hole. According to the form of the self-interaction of the basic constituents and the spacetime symmetry, we can distinguish mini-, axidilaton, soliton, charged, oscillating and rotating BSs. Their compactness prevents a Newtonian approximation, however, modifications of general relativity, as in the case of Jordan-Brans-Dicke theory as a low energy limit of strings, would provide them with gravitational memory. In general, a BS is a compact, completely regular configuration with structured layers due to the anisotropy of scalar…
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