Exact Solutions for Boson-Fermion Stars in (2+1) dimensions
Kenji Sakamoto, Kiyoshi Shiraishi (Yamaguchi University)
TL;DR
This paper derives exact static solutions for boson-fermion stars in (2+1) dimensions with a negative cosmological constant, revealing conditions for their stability based on binding energy.
Contribution
It provides the first exact solutions for boson-fermion stars in (2+1) dimensions under specific conditions, including large scalar self-interaction and negative cosmological constant.
Findings
Minimum binding energy can be negative when the cosmological constant is small.
Exact solutions exist for static, circularly symmetric boson-fermion stars.
The stability of these stars depends on the cosmological constant value.
Abstract
We solve Einstein equations coupled to a complex scalar field with infinitely large self-interaction, degenerate fermions, and a negative cosmological constant in dimensions. Exact solutions for static boson-fermion stars are found when circular symmetry is assumed. We find that the minimum binding energy of boson-fermion star takes a negative value if the value of the cosmological constant is sufficiently small.
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