Nonminimally coupled scalar field in teleparallel gravity: boson stars

Understand

We study the nonminimally coupled complex scalar field within the framework of teleparallel gravity.

• Coupling of the field nonminimally to the torsion scalar destroys the Lorentz invariance of the theory in the sense that the resulting equations of motion depend on the choice of a tetrad.
• For the assumed static spherically symmetric spacetime, we find a tetrad which leads to a self-consistent set of equations, and we construct the self-gravitating configurations of the scalar field---boson stars.
• The resulting configurations develop anisotropic principal pressures and satisfy the dominant energy condition.