Einstein Relatively Easy

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     Just as Maxwell's equations govern how the electric and magnetic fields respond to charges and currents, Einstein Field Equation governs how the metric respond to energy and momentum.

There are traditionally two ways of deriving this equation:

  • - first by some informal reasoning by analogy, close to what Einstein himself was thinking (refer to Einstein Tensor and Einstein Field Equations) and which begins with the realization that we would like to find an equation that supersedes the Poisson equation for the Newtonian potential

  • - or by starting with an action and deriving the corresponding equations of motion (refer to Einstein-Hilbert action)

 

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"Five or six weeks elapsed between the conception of the idea for the special theory of relativity and the completion of the relevant publication" Einstein to Carl Seeling on March 11, 1952

"Every boy in the streets of Göttingen understands more about four-dimensional geometry than Einstein. Yet, in spite of that, Einstein did the work and not the mathematicians."
David Hilbert

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