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Bose-Einstein Condensate general relativistic stars

3 Pith papers cite this work, alongside 241 external citations. Polarity classification is still indexing.

3 Pith papers citing it
241 external citations · Pith
abstract

We analyze the possibility that due to their superfluid properties some compact astrophysical objects may contain a significant part of their matter in the form of a Bose-Einstein condensate. To study the condensate we use the Gross-Pitaevskii equation, with arbitrary non-linearity. By introducing the Madelung representation of the wave function, we formulate the dynamics of the system in terms of the continuity equation and of the hydrodynamic Euler equations. The non-relativistic and Newtonian Bose-Einstein gravitational condensate can be described as a gas, whose density and pressure are related by a barotropic equation of state. In the case of a condensate with quartic non-linearity, the equation of state is polytropic with index one. In the framework of the Thomas-Fermi approximation the structure of the Newtonian gravitational condensate is described by the Lane-Emden equation, which can be exactly solved. The case of the rotating condensate is also discussed. General relativistic configurations with quartic non-linearity are studied numerically with both non-relativistic and relativistic equations of state, and the maximum mass of the stable configuration is determined. Condensates with particle masses of the order of two neutron masses (Cooper pair) and scattering length of the order of 10-20 fm have maximum masses of the order of 2 M_sun, maximum central density of the order of 0.1-0.3 10^16 g/cm^3 and minimum radii in the range of 10-20 km. In this way we obtain a large class of stable astrophysical objects, whose basic astrophysical parameters (mass and radius) sensitively depend on the mass of the condensed particle, and on the scattering length. We also propose that the recently observed neutron stars with masses in the range of 2-2.4 M_sun are Bose-Einstein Condensate stars.

years

2026 2 2012 1

representative citing papers

Dynamical Boson Stars

gr-qc · 2012-02-27 · unverdicted · novelty 2.0

Boson stars are particle-like solutions in general relativity that model dark matter, black hole mimickers, and binary systems.

citing papers explorer

Showing 3 of 3 citing papers.

  • Vortex-reconnection energy bounds in Bose-Einstein-condensed and superfluid dark matter halos astro-ph.GA · 2026-07-08 · conditional · none · ref 274 · internal anchor

    Vortex reconnections in BEC/superfluid dark-matter cores can transfer at most 0.06–4.5% of the virial energy in 10 Gyr under fiducial assumptions, so they cannot appreciably restructure the core.

  • Slowly rotating condensate dark stars beyond the mean-field approximation gr-qc · 2026-07-08 · conditional · none · ref 10 · internal anchor

    The Lee-Huang-Yang beyond-mean-field correction measurably reduces the dimensionless moment of inertia of slowly rotating BEC dark stars at fixed compactness while preserving the I-Love universal relation to within a few percent.

  • Dynamical Boson Stars gr-qc · 2012-02-27 · unverdicted · none · ref 118 · internal anchor

    Boson stars are particle-like solutions in general relativity that model dark matter, black hole mimickers, and binary systems.