It is shown that the eigenvalue equation in the Jones' treatment of gravitational self-energy may be obtained from a model of extended particles using the quantum potential in the causal interpretation of quantum mechanics and reduced to the Lane-Emden equation of index 2 that has been discussed extensively in the theory of stellar evolution.
机构:
Univ Kairouan, Inst Super Math Appl & Informat, Kairouan, TunisiaUniv Claude Bernard Lyon 1, Inst Camille Jordan, UMR CNRS 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France