Göttingen 2012 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Gravitation

MP 9.1: Talk

Wednesday, February 29, 2012, 09:40–10:05, ZHG 003

(contribution withdrawn) The variant of post-Newtonian mechanics with generalized fractional derivatives — •Vladimir Kobelev — Fakultät IV: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57076 Siegen

We investigate mathematically the variant of post-Newtonian mechanics using generalized fractional derivatives. The relativistic-covariant generalization of the classical equations for weak gravitational feld is studied. The equations (i) match the weak Newtonian limit on the moderate scales and (ii) deliver a potential distinct from the Newtonian on certain large-distance characteristic scales. The exact expression for fundamental solution is found. With the fundamental solution closed analytical form for virial theorem is stated.