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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 ...
The Einstein–Infeld–Hoffmann equations of motion, jointly derived by Albert Einstein, Leopold Infeld and Banesh Hoffmann, are the differential equations describing the approximate dynamics of a system of point-like masses due to their mutual gravitational interactions, including general relativistic effects.
[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 ...
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 ...
Albert Einstein's discovery of the gravitational field equations of general relativity and David Hilbert's almost simultaneous derivation of the theory using an elegant variational principle, [B 1]: 170 during a period when the two corresponded frequently, has led to numerous historical analyses of their interaction.
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 ...
where the variables refer to Friedmann–Einstein universe, where is defined in the equations, is the speed of light, is the scale factor, is the radius of the universe (measured in light years) and its maximal value, is the mean density of matter, is time and the age of the universe (last line, measured in years), and is the Einstein's gravitational constant.
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