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Week - 1 |
Geometry of gravity theories |
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Week - 2 |
Differentiable manifolds, tensors and differential forms |
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Week - 3 |
Lie derivatives |
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Week - 4 |
Riemannian and semi-riemannian geometries , spacetime metrics and connection structures |
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Week - 5 |
Orthonormal metric coframes , connection 1-form , curvature 2-form and Cartan structure equations |
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Week - 6 |
Theory of general relativity |
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Week - 7 |
Black hole solutions of general relativity |
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Week - 8 |
Charged black hole solutions in general relativity theory |
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Week - 9 |
Scalar-tensor theories of gravity |
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Week - 10 |
Variational principle and field equations |
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Week - 11 |
Einstein-Dirac action and spinor field equations in curved spacetime |
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Week - 12 |
Higher order curvature gravity theories |
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Week - 13 |
Noether-Wald charges |
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Week - 14 |
Kaluza-Klein theory |
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