Vacuum Solution (General Relativity)
978-613-0-55979-3
6130559798
120
2010-11-19
39.00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In general relativity, a vacuum solution is a Lorentzian manifold whose Einstein tensor vanishes identically. According to the Einstein field equation, this means that the stress-energy tensor also vanishes identically, so that no matter or non-gravitational fields are present. More generally, a vacuum region in a Lorentzian manifold is a region in which the Einstein tensor vanishes. It is a mathematical fact that the Einstein tensor vanishes if and only if the Ricci tensor vanishes. This follows from the fact that these two second rank tensors stand in a kind of dual relationship.
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