In general relativity and tensor calculus, the contracted Bianchi identities are: where is the Ricci tensor, the scalar curvature, and indicates covariant differentiation. These identities are named after Luigi Bianchi, although they had been already derived by Aurel Voss in 1880. In the Einstein field equations, the contracted Bianchi identity ensures consistency with the vanishing divergence of the matter stress–energy tensor. (Wikipedia).
Mariano Chicho Frumboli & Juana Sepulveda - Flor de Monserrat, Rodolfo Biagi Dubai TFl 2014
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In this video on topics in emergency surgery for medical students and doctors, I discuss the common condition of biliary colic. Watch this video if your are preparing for the exams or are seeing a patient with biliary colic. Biliary colic is the most common form of gallstone disease, an
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The Bianchi Identities | Tensor Calculus Ep. 17
Today we derive the differential and contracted Bianchi Identities. Video relating metric to gravity (newtonion limit): https://www.youtube.com/watch?v=kIi-qcSBa4w&t=69s&ab_channel=AndrewDotson Deriving the Riemann Curvature Tensor: https://www.youtube.com/watch?v=L8ISLzDYl68&t=1348s&ab_
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The Einstein Field Equations | Tensor Calc Finale
Today we use all the tools we've got in our back pocket to "derive" the Einstein Field Equations of general relativity. It's more of a motivation than a derivation, I suppose. This series is based off the book "Tensor Calculus for Physics" by Dwight Neuenschwander: https://amzn.to/3rEema3
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From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
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After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
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PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
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