Publication of Astronomical Observatory of Belgrade, Vol. 105, 2024, Page 18, https://doi.org/10.69646/14sbac16a
BOOK OF ABSTRACTS: XIV Serbian-Bulgarian Astronomical Conference, 23 - 27 September, 2024, Vrnjačka Banja, Serbia. Editors: Milan S. Dimitrijević, Evgeni Semkov, Zoran Simić, Goran Damljanović, Momchil Dechev

Starting from the equations of the medium (the Euler system and the Equation of State) we aim to derive equations, which describe the evolution of the exponent of the mass density profile of pre/proto-stellar cores. We suppose that this exponent depends on both the time and the scale. Our considerations are done under the assumptions of spherical symmetry, isotropy and isothermal Equation of State, which determine our core as the abstract ensemble averaged member of a whole class of equivalent objects (cores), demonstrating the same statistical and physical characteristics. We study, also, the special case, when the exponent depends only on time. In this case the value “2” of the exponent is an attractor.