paper

Slowly rotating condensate dark stars beyond the mean-field approximation

arXiv:2607.06898 · doi:10.1140/epjc/s10052-026-16183-0

Abstract

We investigate rotational properties and universal relations of slowly rotating Bose-Einstein condensate dark stars in the context of General Relativity, both at the mean-field level and when the leading beyond-mean-field Lee-Huang-Yang correction is retained self-consistently. Adopting the polytropic equation of state appropriate to a dilute, self-interacting Bose gas, parameterised by the boson mass and the -wave scattering length , we integrate the Tolman-Oppenheimer-Volkoff equations together with Hartle's dipole equation for the frame-dragging angular velocity, and we compute the moment of inertia, the gravito-electric tidal Love number and the dimensionless tidal deformability. The resulting equilibrium sequences yield gravitational masses in the -- range with radii of --, squarely within the window presently probed by NICER and the LIGO-Virgo-KAGRA network. We observe that the LHY term produces a measurable reduction of the dimensionless moment of inertia at fixed compactness, whilst the I- universal relation is preserved to within a few per cent. We supply polynomial fits for the I- and I- relations, and show that the LHY footprint is large enough to serve as a clean diagnostic of beyond-mean-field quantum physics in a putative dark star population, complementing existing dark matter constraints from pulsar masses and from the equation-of-state interpretation of the unusually light compact remnant HESS~J1731-347.

24 pages, 4 figures, 1 table

References in corpus (47)