What is the equation for the theory of relativity?
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What is the equation for the theory of relativity?
Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2. The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.
What math is used in relativity?
The area of math that general relativity uses is called differential geometry. Differential geometry uses calculus to describe geometric concepts such as curvature, which on the other hand, requires knowledge about tensors.
What is the mathematical formula of Einstein’s law?
E = mc2, equation in German-born physicist Albert Einstein’s theory of special relativity that expresses the fact that mass and energy are the same physical entity and can be changed into each other.
What is Einstein’s equation for gravity?
Gμν = 8πTμν On the left side of the equation is a tensor describing the geometry of spacetime — the gravitational field. On the right is the tensor describing the matter and energy density — the source of the gravitational field.
Does relativity use calculus?
In the presence of isotropy, which is one of my other key assumptions, relativity implies reciprocity.” Instead of using calculus to derive the spacetime transformations, Gannett uses two basic concepts from mathematical topology: density and continuity.
Who solved Einstein field equation?
Einstein was not able to solve the eqs for a star (a simple spherical source of gravity), but this was first solved by Schwarzschild in 1916. Highly active question. Earn 10 reputation (not counting the association bonus) in order to answer this question.
What is the mathematical formula for gravity?
What is this formula? The formula is F = G*((m sub 1*m sub 2)/r^2), where F is the force of attraction between the two bodies, G is the universal gravitational constant, m sub 1 is the mass of the first object, m sub 2 is the mass of the second object and r is the distance between the centers of each object.
Did Einstein use pi?
So that’s the Einstein-Pi connection. Einstein figured out that gravity is best described by a field theory rather than as a direct interaction between individual bodies, and connecting fields to localized bodies involves integrating over the surface of a sphere, and the area of a sphere is proportional to π.
Is general relativity math or physics?
The full theory of general relativity is based on the concepts of differential geometry, most often expressed in the language of tensor calculus; it thus involves mathematics beyond what most undergraduates encounter.
Are Einstein’s field equations solved?
Einstein’s General Relativity is the leading theory of space-time and gravity: it is highly nonlinear. Exact solutions of Einstein’s equations thus model gravitating systems and enable exploration of the mathematics and physics of the theory.
