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Einstein field equations - Wikipedia
The Einstein field equations (EFE; also known as Einstein's equations) is the set of 10 equations in Albert Einstein's general theory of relativity that describes the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy.
https://en.wikipedia.org/wiki/Einstein_field_equations
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Einstein–Hilbert action - Wikipedia
The Einstein–Hilbert action (also referred to as Hilbert action) in general relativity is the action that yields the Einstein field equations through the principle of least action. With the (− + + +) metric signature, the gravitational part of the action is given as
https://en.wikipedia.org/wiki/Einstein–Hilbert_action
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Einstein–Infeld–Hoffmann equations - Wikipedia
The Einstein–Infeld–Hoffmann equations of motion, jointly derived by Albert Einstein, Leopold Infeld and Banesh Hoffmann, are the differential equations of motion describing the approximate dynamics of a system of point-like masses due to their mutual gravitational interactions, including general relativistic effects.
https://en.wikipedia.org/wiki/Einstein–Infeld–Hoffmann_equations
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The New Einstein Theory and the Equations of Motion
THE new Einstein1 theory is mathematically attractive; but its role in science can only be established through the conclusions that can be drawn from it. Einstein himself hopes that his new theory will turn out to be a real field theory, that is, he believes that his equations possess solutions free from singularities and representing particles.
http://www.nature.com/nature/journal/v166/n4234/abs/1661075a0.html?foxtrotcallback=true
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The Meaning of Einstein’s Equation
This is a brief introduction to general relativity, designed for both students
and teachers of the subject
http://math.ucr.edu/home/baez/einstein/einstein.pdf
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The Meaning of Einstein's Equation
This is a brief introduction to general relativity, designed for both students and teachers of the subject.
http://math.ucr.edu/home/baez/einstein/
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E=mc2: Einstein's equation that gave birth to the atom bomb | Science | The Guardian
Alok Jha: Albert Einstein's famous equation E=mc2 for the first time connected the mass of an object with its energy and heralded a new world of physics
https://www.theguardian.com/science/2014/apr/05/einstein-equation-emc2-special-relativity-alok-jha
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Field Equations & Equations of Motion
Velocity is a vector (tensor) or vector (tensor) field. In familiar notation, the velocity v is represented by
https://www.grc.nasa.gov/www/k-12/Numbers/Math/Mathematical_Thinking/field_equations.htm
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What is general relativity? | plus.maths.org
When physicists talk about Einstein's equation they don't usually mean the famous E=mc2, but another formula, which encapsulates the celebrated general theory of relativity. Einstein published that theory a hundred years ago, in 1915.
https://plus.maths.org/content/what-general-relativity
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General Relativity/Einstein's equation - Wikibooks, open books for an open world
The Einstein field equation or Einstein equation is a dynamical equation which describes how matter and energy change the geometry of spacetime, this curved geometry being interpreted as the gravitational field of the matter source.
https://en.wikibooks.org/wiki/General_Relativity/Einstein's_equation
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Einstein equation
What are called Einstein’s equations are the equations of motion of gravity: the Euler-Lagrange equations induced by the Einstein-Hilbert action.
https://ncatlab.org/nlab/show/Einstein equation
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Einstein Field Equations - for beginners! - YouTube
Einstein's Field Equations for General Relativity - including the Metric Tensor, Christoffel symbols, Ricci Cuvature Tensor, Curvature Scalar, Stress Energy ...
https://www.youtube.com/watch?v=foRPKAKZWx8
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Equations of Motion in General Relativity
This paper contains a new derivation of the equations of motion of bodies moving slowly in their (weak) gravitational field, up to terms of the order (v/c)2.
http://iopscience.iop.org/article/10.1088/0370-1298/64/1/310
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Do You Know the Rest of Einstein's Most Famous Equation?
He's synonymous with genius, but Albert Einstein is also best known for what is easily the world's most famous equation, E=mc². But did you know that it's actually a shortened version of a longer equation?
https://gizmodo.com/5955723/do-you-know-the-rest-of-einsteins-most-famous-equation
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The Field Equations
The basis of Einstein's general theory of relativity is the audacious idea that not only do the metrical relations of spacetime deviate from perfect Euclidean flatness, but that the metric itself is a dynamical object.
http://www.mathpages.com/rr/s5-08/5-08.htm
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Einstein's equations from Einstein's inertial motion and Newton's law for relative acceleration
We show that Einstein's R0̂ 0̂ equation for nonrelativistic matter and strong gravitational fields is identical with Newton's equation for relative radial acceleration of neighbouring freefalling particles, spherically averaged.
https://arxiv.org/abs/1607.08661
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The Equations of Motion » Undivided Looking
The metric is related to the gravitational potential at a point, i.e. how much ``potential energy'' a unit mass will have sitting in the gravitational field. But I haven't said anything about energy yet, so you're entitled to ignore this remark...
http://www.wall.org/~aron/blog/the-equations-of-motion/
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How Did Einstein Do It? | Of Particular Significance
By the time Einstein came along with his special theory of relativity in 1905, it had been over 200 years since Newton wrote down his laws of motion. His followers had developed his notions further, elaborating and clarifying them. And two centuries of scientific experiments, of engineering and of technology had been based on these…
https://profmattstrassler.com/articles-and-posts/particle-physics-basics/mass-energy-matter-etc/mass-and-energy/how-did-einstein-do-it/
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STOKES-EINSTEIN EQUATION
The Stokes-Einstein equation is the equation first derived by Einstein in his Ph.D thesis for the diffusion coefficient of a "Stokes" particle undergoing Brownian Motion in a quiescent fluid at uniform temperature.
http://www.thermopedia.com/content/1156
