Static Spherically Symmetric Space-times in General Relativity
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The term 'static' used in general relativity in connection with spherically symmetric space-times is usually used in order to qualify the forms of their line elements. In this paper we introduce the concept of the 'staticness' of a spherically symmetric space-time as an intrinsic property of the space-time from the standpoint that the mathematical aspect of general relativity is a theory of analytical invariants. Then some properties of static spherically symmetric space-times are made clear. The method used is based on the theory of characteristic systems of spherically symmetric space-times developed by the writer. Lastly some examples are given.
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