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The Meaning of Einstein's Equation — An explanation of Einstein's field equation, its derivation, and some of its consequences; Video Lecture on Einstein's Field Equations by MIT Physics Professor Edmund Bertschinger. Arch and scaffold: How Einstein found his field equations Physics Today November 2015, History of the Development of the Field ...
Next, notice that only 10 of the original 14 equations are independent, because the continuity equation ; = is a consequence of Einstein's equations. This reflects the fact that the system is gauge invariant (in general, absent some symmetry, any choice of a curvilinear coordinate net on the same system would correspond to a numerically ...
[3] [4] Einstein is best known by the general public for his mass–energy equivalence formula E = mc 2 (which has been dubbed "the world's most famous equation"). [5] He received the 1921 Nobel Prize in Physics "for his services to theoretical physics, and especially for his discovery of the law of the photoelectric effect ", a pivotal step in ...
A letter written by Albert Einstein in which he writes out his famous E = mc2 equation has sold at auction for more than $1.2 million, about three times more than it was expected to get, Boston ...
[60] [61] This was the first solution to the Einstein field equations other than the trivial flat space solution. [62] [63] [64] 1916 – Albert Einstein predicts gravitational waves. [65] 1916 – Willem de Sitter predicts the geodetic effect. [66] 1917 – Albert Einstein applies his field equations to the entire Universe. [67] Physical ...
The Einstein field equations are a system of coupled, nonlinear partial differential equations. In general, this makes them hard to solve. In general, this makes them hard to solve. Nonetheless, several effective techniques for obtaining exact solutions have been established.
The initial value formulation of general relativity is a reformulation of Albert Einstein's theory of general relativity that describes a universe evolving over time.. Each solution of the Einstein field equations encompasses the whole history of a universe – it is not just some snapshot of how things are, but a whole spacetime: a statement encompassing the state of matter and geometry ...
The Gödel metric, also known as the Gödel solution or Gödel universe, is an exact solution, found in 1949 by Kurt Gödel, [1] of the Einstein field equations in which the stress–energy tensor contains two terms: the first representing the matter density of a homogeneous distribution of swirling dust particles (see dust solution), and the second associated with a negative cosmological ...
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