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The Einstein field equations (EFE) may be written in the form: + = EFE on a wall in Leiden, Netherlands. where is the Einstein tensor, is the metric tensor, is the stress–energy tensor, is the cosmological constant and is the Einstein gravitational constant.
Mar 29, 2024 · 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. In the equation, the increased relativistic mass ( m) of a body times the speed of light squared ( c2) is equal to the kinetic energy ( E) of ...
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The Einstein Field Equation (EFE), also known as Einstein’s equation, is a set of ten nonlinear partial differential equations of the Einstein field extracted from Albert Einstein’s General Theory of Relativity . The EFE describes the basic interaction of gravitation. Stay tuned with BYJU’S for more such interesting articles.
- Write the Einstein Field Equation?The Einstein Field Equation is given by: \\(\\begin{array}{l}G_{\\mu \\upsilon} + g_{\\mu \\upsilon} \\Lambda = \\frac{8\\pi G}{c^4} T_{\\mu \\upsilon}\\end{ar...
- What is the use of Einstein tensor in EFE?In Einstein Field Equation, the Einstein tensor is used for describing spacetime curvature such that it is in alignment with the conservation of en...
- Write the expression for Einstein tensor?The Einstein tensor is given by: G = R – (1/2)gR Where, R is the Ricci tensor g is the metric tensor R is the scalar curvature
- What is stress-energy tensor?Stress-energy tensor is defined as the tensor T αβ is a symmetric tensor which is used for describing the energy and momentum density of the gravi...
Apr 8, 2021 · It is perhaps the most famous equation in the world, and also one of the most elegant. Einstein’s legendary equivalence between mass and energy, given the simple formula E=mc^2, is familiar even to schoolchildren. At times, it simply stands as a placeholder for science — like in cartoons where writing E=mc^2 on a chalkboard signifies there ...
- Nathaniel Scharping
Sep 15, 2021 · Einstein’s original equation relates spacetime curvature to the stress-energy of a system (top). A cosmological constant term can be added (middle), or equivalently, it can be formulated as dark ...
- Ethan Siegel
Step 1: Assume a Relation Between Curvature and Matter. This method of deriving the Einstein field equations is mostly about finding a generalization to Poisson’s equation, which is a field equation for Newtonian gravity. It relates the Newtonian gravitational potential (Φ) to a mass/energy density (ρ):
Einstein's equation relates the matter content (right side of the equation) to the geometry (the left side) of the system. It can be summed up with "mass creates geometry, and geometry acts like mass".
