Nonminimally coupled scalar field in teleparallel gravity: boson stars

Abstract

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. An interesting property of the configurations obtained with sufficiently large field-to-torsion coupling constant is the outwardly increasing energy density, followed by an abrupt drop towards the usual asymptotic tail. This feature is not present in the boson stars with the field minimally or nonminimally coupled to the curvature scalar, and therefore appears to be a torsion--only effect.

LaTeX, 14 pages, 3 figures, v3: some points clarified, refs added, matches published version

References in corpus (9)

• The teleparallel equivalent of general relativity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Spherical Boson Stars as Black Hole mimickers
• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
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• Prospects of detecting spacetime torsion

Cited by in corpus (7)

• Teleparallel Gravity: From Theory to Cosmology
• Static spherically symmetric black holes in weak f(T)-gravity
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Scalarized Black Holes in Teleparallel Gravity
• Neutral compact spherically symmetric stars in teleparallel gravity
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling