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When are two spacetimes the same

  1. Nov 12, 2008 #1
    Suppose you have two spacetimes described by two metrics.

    If I prove that they have foliations with the same geometrical properties, would that prove the spacetimes are actually the same only in different coordinates?

    Has anyone seen a source with theorems of this type?
  2. jcsd
  3. Nov 13, 2008 #2
    The first thing to distinguish is a metric from a coordinate chart. Different coordinate charts can refer to the same metric.
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