The equilibrium equations of Boson‐Fermi systems in the Newtonian approximation

Abstract

There is accumulating evidence that scalar fields may exist in nature. The gravitational collapse of a boson cloud leads to the formation of a boson star just like white dwarfs and neutron stars. In general, as one of the candidates of dark matter, a boson star holds a stable configuration and has deserved intensive attention and extensive research in the past 50 years. At first, we analyze the ground state solutions for a Boson-Fermi system using the metric tensor in the Newtonian approximation, then analyze the configuration of a star composed of bosons and fermions. At last, for the purpose of investigating the equilibrium geometry of a Boson-Fermi system, we construct the virial equations of a boson-Fermi system with different orders. In our future work, we will explore the equilibrium configuration and the stability of a Boson-Fermi star and how a scalar field affects the pressure of the system using higher-order virial equations of fluid motions. KEYWORDSboson-fermion star -complex scale fields -fluid boson stars -gravity theories

Higher-order generalized uncertainty principle corrections to the Jeans mass

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Gravitational memory effects in Brans‐Dicke theory

“…We hope this work will form the basis for using memory effects to probe the nature of gravity (Koyama 2020). Recently, the properties of gravity have been studied by the scattering of Dirac spinors and the scalar field (Fu et al 2020; Gao et al 2019). So, this work is organized as follows.…”

The scattering of scalar fields in the Newtonian approximation

“…Scalar fields have been defined for many years, and their roles in describing boson fields have been well established. The existence and detection of scalar fields could provide solutions to long‐standing puzzles about the nature of dark matter, the dark compact objects at the center of most galaxies, and other phenomena brought to light important differences between orbits of stars orbiting a Kerr black hole and a boson star (see Dzhunushaliev 1998; Liu Xiang, Stanghellini, Dallacasa & Haiyan 2002; Liu Xiang 2018; Feng et al 2019; Freedman & Van Proeyen 2012; Gao et al 2019; Giudice et al 2016; Yang & Lin 2019; Yuen 2019a, 2019b).…”