Locally Metric Spacetimes

Details Locally Metric Spacetimes Locally Metric Spacetimes

2008-04-17

arxiv.org/abs/0804.2911v1

Physics

Mathematical Physics

16 pages

Scientific paper

Spacetimes have conventionally been described by a global Lorentzian metric on a differentiable four-manifold. Herein we explore the possibility of spacetimes defined by a connection, which is locally but not globally Levi-Civita. The general method of obtaining such connections is presented for the non-degenerate case followed by an example that modifies the Robertson-Walker spacetimes for flat spacelike hypersurfaces.

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