Homogeneous spacetimes of zero curvature

Duncan, Della C.; Ihrig, Edwin C.

doi:10.1090/S0002-9939-1989-0975639-0

Homogeneous spacetimes of zero curvature
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by Della C. Duncan and Edwin C. Ihrig PDF

Proc. Amer. Math. Soc. 107 (1989), 785-795 Request permission

Abstract:

In the following we show the only possible flat, connected, incomplete homogeneous spacetimes are $H / \Delta$ where $H = \left \{ {\upsilon \in {{\mathbf {R}}^n}\left | {g\left ( {\upsilon ,N} \right ) > 0} \right .} \right \},N$ is a null vector, and $\Delta$ is a discrete subgroup of translations.

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