Basic theoretical and mathematical cosmology
Goal: Understand the basic mathematical models of modern cosmology and their physics applications.
Group leader: Victor Ovidiu Slupic
Supervisor: Mirela Babalic
Scheme:
A. Cosmological solutions
B. FLRW spacetimes and equations of state
C. Basic history of the universe
D. Early universe cosmology
E. Cosmological perturbation theory
F. Advanced topics
Bonus: Historical note
References:
1. S. Weinberg, Cosmology
2. Lyth and Liddle, The primordial density perturbation
3. Mukhanov, Physical foundations of cosmology
4. Mukhanov, Feldman, Brandenberger, Theory of Cosmological Perturbations, Phys Reports vols 215 & 216
5. Wainwright and Ellis, Dynamical Systems in Cosmology
6. Coley, Dynamical systems and cosmology
7. Bojowald, Canonical gravity and applications
8. Ringstrom, The Cauchy problem in general relativity
9. Wald, General Relativity