This course provides the essential mathematical foundation for understanding General Relativity (GR). It covers:
Special Relativity: Geometry, relativistic particle dynamics, and the classical relativistic field.
Differential Geometry: Manifolds, tensor fields, connections, geodesics, metric, curvature.
Einsteins Equation: Interaction of geometry and matter, symmetries, and conserved quantities, Lagrangian formalism.
Schwarzschild Solution: Black holes, free particle trajectories, and causal structure.
The course also introduces Cosmology and the physics of the expanding and accelerating Universe, including:
Friedman-Lemaitre-Robertson-Walker (FLRW) model: Cosmological principle, Hubbles law, phenomenology.
Cosmological Constant: Examining de Sitter spacetime and relevant cosmological data. Accelerating expansion, inflation, cosmic epochs, dark energy.
- Teacher: Νικόλαος Ήργες
ECTS : 5
Language : el