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Newton-Hooke group is the nonrelativistic limit of de Sitter (anti-de Sitter) group, which can be enlarged with transformations that describe constant acceleration, as well as central charges.
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Y.-H. Gao, Symmetries, matrices, and de Sitter gravity, [hep-th/0107067]
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Y. Tian, S.-H. Yu, The motion of uniform acceleration in constant curvature space-time, CCAST-WL WORKSHOP SERIES: VOLUME 186, 97-100 (in Chinese)
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