Vol.1, No 4, 1997 pp. 7 - 14
UDC: 531.5+528.2
EQUIVALENCE OF GEODESIC MOTIONS AND HYDRODYNAMIC FLOW MOTIONS
Nicholas K. Spyrou
Astronomy Department, Aristoteleion University of Thessaloniki, 540.06 Thessaloniki, Macedonia, Greece (Hellas)
e-mail: spyrou@helios.astro.auth.gr
Abstract. We examine the conditions under which the geodesic motions in the interior of a continuous, bounded, perfect-fluid gravitating source are equivalent to its hydrodynamical flow motions. We give some applications revealing the relevance to and usefulness of the result in stellar and galactic dynamics, and cosmology.
Keys words: geodesic motion, hydrodynamic flow: equivalence

Acknowledgement. The author thanks the Greek Secretariat of Research and Technology for partially supporting this research under grant PENED no 797.

EKVIVALENCIJA GEODEZIJSKOG KRETANJA I HIDRODINAMIČKOG TOKA KRETANJA
U radu su prikazana istraživanja uslova pod kojima su kretanja po geodezijskoj unutrašnjosti kontinualnog ograničenog idealno fluidnog izvora gravitacije ekvivalentna sa njihovim hidrodinamičkim tokovima kretanja. Date su neke primene koje ukazuju na relevantnost i korisnost rezultata u zvezdanoj i galaktičkoj dinamici i kosmologiji.
Ključne reči: geodezijsko kretanje, hidrodinamički tok: ekvivalencija