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  2. Einstein field equations - Wikipedia

    en.wikipedia.org/wiki/Einstein_field_equations

    The Einstein gravitational constant is defined as [6] [7] ... form the core of the mathematical formulation of general relativity. ... Toggle the table of contents.

  3. Gravitational constant - Wikipedia

    en.wikipedia.org/wiki/Gravitational_constant

    The gravitational constant appears in the Einstein field equations of general relativity, [4] [5] + =, where G μν is the Einstein tensor (not the gravitational constant despite the use of G), Λ is the cosmological constant, g μν is the metric tensor, T μν is the stress–energy tensor, and κ is the Einstein gravitational constant, a ...

  4. Equivalence principle - Wikipedia

    en.wikipedia.org/wiki/Equivalence_principle

    The strong equivalence principle can be tested by 1) finding orbital variations in massive bodies (Sun-Earth-Moon), 2) variations in the gravitational constant (G) depending on nearby sources of gravity or on motion, or 3) searching for a variation of Newton's gravitational constant over the life of the universe [14]: 47

  5. General relativity - Wikipedia

    en.wikipedia.org/wiki/General_relativity

    General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics.

  6. Einstein–Hilbert action - Wikipedia

    en.wikipedia.org/wiki/Einstein–Hilbert_action

    The Palatini formulation of general relativity assumes the metric and connection to be independent, and varies with respect to both independently, which makes it possible to include fermionic matter fields with non-integer spin. The Einstein equations in the presence of matter are given by adding the matter action to the Einstein–Hilbert action.

  7. Mathematics of general relativity - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_general...

    Numerical relativity is the sub-field of general relativity which seeks to solve Einstein's equations through the use of numerical methods. Finite difference, finite element and pseudo-spectral methods are used to approximate the solution to the partial differential equations which arise. Novel techniques developed by numerical relativity ...

  8. General Relativity (book) - Wikipedia

    en.wikipedia.org/wiki/General_Relativity_(book)

    2 Table of Contents. 3 Versions. ... (Newton's gravitational constant) and ... E. Lagrangian and Hamiltonian Formulations of Einstein's Equation;

  9. Einstein tensor - Wikipedia

    en.wikipedia.org/wiki/Einstein_tensor

    The Einstein tensor allows the Einstein field equations to be written in the concise form: + =, where is the cosmological constant and is the Einstein gravitational constant. From the explicit form of the Einstein tensor , the Einstein tensor is a nonlinear function of the metric tensor, but is linear in the second partial derivatives of the ...