The relativistic center of momentum. (English) Zbl 1024.83002

Ungar, Abraham

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6-15, 2002. Sofia: Coral Press Scientific Publishing. 316-325 (2003).

Summary: Since M. H. L. Preyce’s study of the relativistic center of momentum [Proc. R. Soc. Lond., Ser. A 195, 62-81 (1948; Zbl 0032.23605)] it is believed that the classical notion of the center of mass can be extended to special relativity theory only in “at least one Lorentz frame” (in Goldstein’s words). The aim of this work is, accordingly, to study the relativistic center of mass in a way fully analogous to its Newtonian counterpart.
For the entire collection see [Zbl 1008.00022].

MSC:

83A05	Special relativity
53C80	Applications of global differential geometry to the sciences

Keywords:

relativistic center of momentum; center of mass; special relativity theory; Lorentz frame

Citations:

Zbl 0032.23605