Introduction to General Relativity

18 December 2022 
Written by Cyril 
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Context of General Relativity

17 December 2022 
Written by Cyril 
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The Equivalence Principle

17 December 2022 
Written by Cyril 
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Geodesic equation and Christoffel symbols

18 December 2022 
Written by Cyril 
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Christoffel symbol exercise: calculation in polar coordinates part I

18 December 2022 
Written by Cyril 
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Generalisation of the metric tensor in pseudoRiemannian manifold

03 March 2020 
Written by Cyril 
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Christoffel symbols in terms of the metric tensor

18 December 2022 
Written by Cyril 
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Christoffel symbol exercise: calculation in polar coordinates part II

03 March 2020 
Written by Cyril 
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Metric tensor exercise: calculation for the surface of a sphere

18 December 2022 
Written by Cyril 
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Geodesic exercise part I: calculation for 2dimensional Euclidean space

03 March 2020 
Written by Cyril 
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Geodesic exercise part II: calculation for the surface of the Earth

03 March 2020 
Written by Cyril 
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Geodesic equation from the principle of least action

18 December 2022 
Written by Cyril 
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Geodesic equation in the Newtonian Limit

18 December 2022 
Written by Cyril 
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Gravitational redshift or Einstein effect  Part I

18 December 2022 
Written by Cyril 
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Gravitational redshift Part II  Derivation from the Equivalence Principle

18 December 2022 
Written by Cyril 
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Gravitational redshift Part III  Experiments

30 March 2016 
Written by Cyril 
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Hafele–Keating experiment (1971)

18 December 2022 
Written by Cyril 
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Local Flatness or Local Inertial Frames and SpaceTime curvature

18 December 2022 
Written by Cyril 
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Introduction to Tensors

26 October 2020 
Written by Cyril 
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Introduction to Covariant Differentiation

18 December 2022 
Written by Cyril 
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Covariant differentiation exercise 1: calculation in cylindrical coordinates

18 December 2022 
Written by Cyril 
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Covariant differentiation exercise 2: calculation for the Euclidean metric tensor

27 September 2016 
Written by Cyril 
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Riemann curvature tensor part I: derivation from covariant derivative commutator

18 December 2022 
Written by Cyril 
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Riemann curvature tensor part II: derivation from the geodesic deviation

18 December 2022 
Written by Cyril 
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Riemann curvature tensor part III: Symmetries and independant components

18 December 2022 
Written by Cyril 
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Bianchi identity and Ricci tensor

03 March 2020 
Written by Cyril 
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Riemann curvature tensor and Ricci tensor for the 2d surface of a sphere

18 December 2022 
Written by Cyril 
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Energymomentum tensor

27 January 2017 
Written by Cyril 
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Einstein Tensor

27 January 2017 
Written by Cyril 
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Einstein Field Equations

18 December 2022 
Written by Cyril 
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