Vacuum Solution (general Relativity)
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.
Read more about Vacuum Solution (general Relativity): Equivalent Conditions, Gravitational Energy, Examples
Famous quotes containing the words vacuum and/or solution:
“No, it wasn’t an accident, I didn’t say that. It was carefully planned, down to the tiniest mechanical and emotional detail. But it was a mistake. It was a beaut. In the end, somehow granted the time for examination, we shall find that our so-called civilization was gloriously destroyed by a handful of vacuum tubes and transistors. Probably faulty.”
—John Paxton (1911–1985)
“What is history? Its beginning is that of the centuries of systematic work devoted to the solution of the enigma of death, so that death itself may eventually be overcome. That is why people write symphonies, and why they discover mathematical infinity and electromagnetic waves.”
—Boris Pasternak (1890–1960)