First part of this project is to present a broad descriptions of General relativity (GR). Since it is essential to know special relativity very well before stepping the foot on GR, we will start with describing Lorentz transformation, 4-vectors and its applications on relativistic electrodynamics. Stepping on GR, we will begin with manifolds and tensor fields. Subsequently, we will present Riemannian geometry and field equations in GR.
Solutions to Einstein's equations will consist mainly in the second part. Apart from that, it will also be interesting to see how and what systems produce gravitational waves. Furthermore, move on to observational cosmology, we will look into experiments which focus on detecting gravity waves.