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 (14)

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Cited by in corpus (18)

• Dynamical Boson Stars
• Teleparallel Gravity: From Theory to Cosmology
• Covariant formulation of scalar-torsion gravity
• Photon sphere and perihelion shift in weak $f(T)$ gravity
• The Spherically Symmetric Vacuum in Covariant $F(T)=T+\frac{\alpha }{2}{T}^2+\mathcal{O}(T^{\gamma })$ Gravity Theory
• Static spherically symmetric black holes in weak f(T)-gravity
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Scalarized Black Holes in Teleparallel Gravity
• Symmetron and de Sitter attractor in a teleparallel model of cosmology
• Onset of acceleration in a Universe initially filled by dark and baryonic matters in nonminimally coupled teleparallel model
• The Chaplygin gas as a model for modified teleparallel gravity?
• Junction Conditions for F(T) Gravity from a Variational Principle
• Asymptotic cosmological regimes in scalar-torsion gravity with a perfect fluid
• Interacting Quintessence in a New Scalar-Torsion Gravity
• Note on the charged boson stars with torsion-coupled field
• 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