Modified Schrodinger-Poisson equation: Quantum polytropes

Jeremy Heyl, Matthew W. Choptuik, and David Shinkaruk
Phys. Rev. D 96, 103010 – Published 14 November 2017

Abstract

Axions and axionlike particles are a leading model for the dark matter in the Universe; therefore, dark matter halos may be boson stars in the process of collapsing. We examine a class of static boson stars with a nonminimal coupling to gravity. We modify the gravitational density of the boson field to be proportional to an arbitrary power of the modulus of the field, introducing a nonstandard coupling. We find a class of solutions very similar to Newtonian polytropic stars that we denote “quantum polytropes.” These quantum polytropes are supported by a nonlocal quantum pressure and follow an equation very similar to the Lane-Emden equation for classical polytropes. Furthermore, we derive a simple condition on the exponent of the nonlinear gravitational coupling, α>8/3, beyond which the equilibrium solutions are unstable.

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  • Received 26 September 2017

DOI:https://doi.org/10.1103/PhysRevD.96.103010

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Jeremy Heyl*, Matthew W. Choptuik, and David Shinkaruk

  • Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1 Canada

  • *heyl@phas.ubc.ca

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Issue

Vol. 96, Iss. 10 — 15 November 2017

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