caa a22 4500 475822927 CHVBK 20180406123823.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1011326924167 doi (NATIONALLICENCE)springer-10.1023/A:1011326924167 Kokarev S. Yaroslavl State Pedagogical University, Russia aut Generalization of the Bohlin-Arnold Theorem and Its Application in General Relativity Theory [Elektronische Daten] [S. Kokarev] The general Bohlin transforms are used to switch between the solutions of the problem on the motion of a test body with different spherically symmetric potentials. It has been established that the parabolic Bohlin transforms are grouped in character. The Bohlin transforms describing the change from a simple exponential potential to a generalized polynomial potential have been obtained in the general form. With specific, widely known spherically symmetric metrics used as an example, it has been shown that these transforms can be used to determine the trajectory of a test body in general relativity theory. Plenum Publishing Corporation, 2000 Russian Physics Journal Kluwer Academic Publishers-Plenum Publishers 43/11(2000-11-01), 926-932 1064-8887 43:11<926 2000 43 11182 https://doi.org/10.1023/A:1011326924167 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1011326924167 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kokarev S. Yaroslavl State Pedagogical University, Russia aut NATIONALLICENCE 773 0- Russian Physics Journal Kluwer Academic Publishers-Plenum Publishers 43/11(2000-11-01), 926-932 1064-8887 43:11<926 2000 43 11182 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer