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Results tagged with lorentzian-geometry
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user 12482
Lorentzian geometry is the geometry of Minkowski spacetime, hence essentially of a Euclidean space, but equipped not with the standard Euclidean Riemannian metric of signature $(+,+,+,…,+)$ (which yields Euclidean geometry) but with the pseudo-Riemannian metric of signature $(−,+,+,…,+).$
8
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2
answers
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On the causal structure of spacetimes: piecewise $C^1$, $C^k$ or $C^\infty$?
This is a more technical question but it seems that there is some confusion in the literature on the choice of curves used to define the causal relations in time-oriented Lorentz manifolds: the infini …
- 8,098
13
votes
Accepted
On the topology induced by a Lorentzian metric
In general, this topology is coarser than the original topology of the manifold, and, without further assumptions, strictly coarser. It coincides with the original one iff the Lorentz manifold is stro …
- 8,098