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The Bianchi Identities | Tensor Calculus Ep. 17

Duration: 28:52Views: 10.6KLikes: 395Date Created: Mar, 2021

Channel: Andrew Dotson

Category: Education

Tags: oducontractedriccigeneral relativitycalculusequationsnmsuidentitiesmajorphysicsriemanndotsonmetric tensorcuvaturedegreebianchigradschooltensorphdandrewdivergencescalarfieldgradstudenteinstein

Description: Today we derive the differential and contracted Bianchi Identities. Video relating metric to gravity (newtonion limit): youtube.com/watch?v=kIi-qcSBa4w&t=69s&ab_channel=AndrewDotson Deriving the Riemann Curvature Tensor: youtube.com/watch?v=L8ISLzDYl68&t=1348s&ab_channel=AndrewDotson This series is based off the book "Tensor Calculus for Physics" by Dwight Neuenschwander: amzn.to/3rEema3 0:00 Intro 1:59 Definitions and Symmetries 4:59 Riemann Tensor in Local Inertial Frame 7:10 Deriving the Differential Bianchi Identity 15:26 Deriving the Contracted Bianchi Identity 25:38 Final Comments

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