arXiv:1011.2007v2[gr-qc]13Jan2011 Uniqueness of collinear solutions for the relativistic three-body problem Kei Yamada and Hideki Asada Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan (Dated: January 14, 2011) Abstract Continuing work initiated in an earlier publication [Yamada, Asada, Phys. Rev. D 82, 104019 (2010)], we investigate collinear solutions to the gene