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Kretschmann scalar information


In the theory of Lorentzian manifolds, particularly in the context of applications to general relativity, the Kretschmann scalar is a quadratic scalar invariant. It was introduced by Erich Kretschmann.[1]

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Kretschmann scalar

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general relativity, the Kretschmann scalar is a quadratic scalar invariant. It was introduced by Erich Kretschmann. The Kretschmann invariant is K = R a...

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Scalar curvature

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α-invariant, hence are strongly scalar-flat. Basic introduction to the mathematics of curved spacetime Yamabe invariant Kretschmann scalar Gallot, Hulin & Lafontaine...

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Kretschmann

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Cabinet Kretschmann (disambiguation), two governments of the German state of Baden-Württemberg since 2011 Kretschmann scalar, a quadratic scalar invariant...

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Gravitational singularity

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The existence of the singularity can be verified by noting that the Kretschmann scalar, being the square of the Riemann tensor i.e. R μ ν ρ σ R μ ν ρ σ {\displaystyle...

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Erich Kretschmann

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University of Halle-Wittenberg. In his 1915 papers, he introduced the Kretschmann scalar. In his 1915 papers he also introduced, though not in name, the point...

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Mathematics of general relativity

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relativity include: The Ricci scalar: R = R α β g α β {\displaystyle R=R^{\alpha \beta }g_{\alpha \beta }} The Kretschmann scalar: K = R a b c d R a b c d...

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Richard Conn Henry

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black holes that are rotating, and/or are electrically charged, the Kretschmann scalar, which characterizes their degree of curvature. Henry, Richard. "Richard...

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Curvature invariant

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general relativity are the Kretschmann scalar R a b c d R a b c d {\displaystyle R_{abcd}\,R^{abcd}} and the Chern–Pontryagin scalar, R a b c d ⋆ R a b c d...

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List of contributors to general relativity

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theories), Arthur Komar (Komar energy–momentum integrals), Erich Kretschmann (Kretschmann invariant), Martin Kruskal (Kruskal–Szekeres coordinates for Schwarzschild...

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Schwarzschild metric

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independent of the choice of coordinates. One such important quantity is the Kretschmann invariant, which is given by R α β γ δ R α β γ δ = 12 r s 2 r 6 = 48...

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