Math 595 - Tensor Analysis and General Relativity 

Course Description: Pointillisme, Concepts of space and time, Aristotelian physics, Newtonian classical mechanics, Galilean relativity, Electromagnetism, Maxwell equations, Special relativity, Minkowski spacetime, İnönü-Wigner contraction, Smooth manifolds, Tangent bundle, Vector fields, 1-forms, Tensors, Fiber bundles, Vector bundles, Frame bundles, Metric, Connection, Torsion, Curvature, Non-metricity, Metric-affine geometry, Fundamental theorem of Riemannian geometry, Levi-Civita connections, Ricci tensor, Ricci scalar, Einstein-Hilbert action, Einstein field equations, FLWR, Schwarzchild, Reissner–Nordström, Kerr–Newman metrics, Classical field theories, Euler-Lagrange equations, Noether theorem, Algebroids, Lie and Courant algebroids, General relativity on algebroids, Courant sigma model, Remarks on Quantum mechanics, Standard model, Quantum gravity and String theory

You can find the syllabus here.

Classes: Mon 09.30 - 12.30, Business Administration Building Z49

Instructor: Asst. Prof. Keremcan Doğan (keremcandogan[at].gtu.edu.tr)

Office Hours: Mon 14.15 - 15.15 (by appointment), Business Administration Building, Mathematics Department Z49