If dark matter is composed of massive bosons, a Bose–Einstein condensation process must
have occurred during the cosmological evolution. Therefore galactic dark matter may be in a …

Any nonspherical distribution of density inside planets and stars gives rise to a nonspherical
external gravity and change of shape. If part or all of the observed zonal flows at the cloud …

Context. The physics of stellar rotation plays a crucial role in the evolution of stars, in their
final fates, and for the properties of compact remnants. Aims. Diverse approaches have been …

The basis of the famous equation attributed to Maclaurin (1742), which relates the ellipticity
of homogeneous spheroids to their rotation rate, is reviewed and Todhunter's (1873) …

We shall study the formation of a particular class of regular black holes (BHs) from the
gravitational collapse of a massive star. The inside geometry is described by spatially flat …

A general formalism to find the density profile of a slowly rotating stellar object in modified
Einstein gravity is presented. We derive a general form of the modified Lane-Emden …

The study proposes a new method for the calculation of the equilibrium configuration of
polytropes with rigid-body axial rotation. Self-consistency is based on the simultaneous use …

The fundamental stages of development of the polytropic theory of stars with axial rotation
are considered as a generalization of the Lane-Emden theory. The solution of the differential …

We show that the solutions obtained in the paper 'An exact solution for arbitrarily rotating
gaseous polytropes with index unity'by Kong, Zhang and Schubert represent only …

In an important paper, Roberts (1963b) studied the hydrostatic equilibrium of an isolated,
self-gravitating, rapidly rotating polytropic gaseous body based on a controversial …