Remarks on Schrödinger's Model of de Sitter Space

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Abstract
Schrödinger in his book "Expanding Universes" developed a "reduced model" of de Sitter space-time consisting of a certain hyperboloid of one sheet. He showed, inter alia, that timelike sections of the hyperboloid by planes through its center correspond to free paths in de Sitter space-time. The main purpose of the present note is to show that timelike sections by arbitrary planes correspond to paths of uniformly accelerated particles, and then to deduce some simple properties of such paths. What is here called Schrödinger's model seems to have been first proposed by H. Weyl in Physik. Z. 24, 230 (1923) and was further discussed by H. P. Robertson in Phil. Mag. 5, 835 (1928) and Revs. Modern Phys. 5, 62 (1933). Schrödinger's discussion, however, is the fullest.

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