NONRELATIVISTIC WHITE HOLE IN THE FRAMEWORK OF MATHEMATICAL FORMALISM

The development of black hole theory and observations is a mainstream topic in modern astrophysics. Black holes are sinks for matter and energy. The existence of matter sinks should not preclude the existence of matter sources in this universe. Astronomical observations show that most main-sequence stars, like the most thoroughly studied Sun, continuously lose matter in the form of stellar winds and energy in the form of radiation. Therefore, they are sources of matter and energy. This paper introduces the term " nonrelativistic white hole " (NWH) and its nonrelativistic mathematical definition as a source of matter. The source is a region of space for which the integral mass flux through a closed surface exceeds the gravitational limit Jeans confinement . A theorem for the existence of a mass source and consequences linking stellar wind observations to a positive divergence of the matter flow are formulated . A comparison of calculated and observed mass loss rates for main-sequence stars is conducted.