Einstein field equation

Who solved Einstein’s equation?

Karl Schwarzschild

What is the field equation?

In theoretical physics and applied mathematics, a field equation is a partial differential equation which determines the dynamics of a physical field, specifically the time evolution and spatial distribution of the field. The topic broadly splits into equations of classical field theory and quantum field theory.

What does Einstein’s field equation mean?

In the general theory of relativity the Einstein field equations (EFE; also known as Einstein’s equations) relate the geometry of spacetime to the distribution of matter within it. The inertial trajectories of particles and radiation (geodesics) in the resulting geometry are then calculated using the geodesic equation.

How did Einstein predict black holes?

Einstein denied several times that black holes could form. In 1939 he published a paper that argues that a star collapsing would spin faster and faster, spinning at the speed of light with infinite energy well before the point where it is about to collapse into a Schwarzchild singularity, or black hole.

What is E mc2 used for?

Einstein’s greatest equation, E = mc2, is a triumph of the power and simplicity of fundamental physics. Matter has an inherent amount of energy to it, mass can be converted (under the right conditions) to pure energy, and energy can be used to create massive objects that did not exist previously.

How did Einstein come up with E mc2?

September 27, 1905. The first explained the photoelectric effect, the second offered experimental proof of the existence of atoms, and the third introduced the theory of special relativity. In the fourth paper, Einstein explained the relationship between energy and mass. That is, E=mc2.

What is the general relativity equation?

evolution of the universe

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a =scale factor (size of a characteristic piece of the universe, can be any size)
k =curvature of the universe (+1 closed, 0 flat, −1 open)
Λ =cosmological constant (energy density of space itself, empty space)
c =speed of light in a vacuum
G =universal gravitational constant

How many Einstein field equations are there?

ten equations

Is gravity a force?

Gravity is a force of attraction that exists between any two masses, any two bodies, any two particles. Gravity is not just the attraction between objects and the Earth. It is an attraction that exists between all objects, everywhere in the universe.

What is a Ricci?

In the mathematical field of differential geometry, the Ricci flow (/ˈriːtʃi/, Italian: [ˈrittʃi]), sometimes also referred to as Hamilton’s Ricci flow, is a certain partial differential equation for a Riemannian metric. Many results for Ricci flow have also been shown for the mean curvature flow of hypersurfaces.

Why is C Squared?

Equivalent units are energy in joules, per mass in kilograms and c in terms of meters/sec. Just because there is a c in the formula for rest mass energy does not mean that the particle has that speed. It turns out that the speed of light squared, c 2 , just so happens to be the conversion factor from mass to energy.

Who discovered gravity?

Isaac Newton

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