Università Roma Tre

- SPECIAL RELATIVITY. VECTORS AND TENSORS. METRIC TENSOR. ENERGY-MOMENTUM TENSOR.
- GENERAL RELATIVITY. UNDERLYING CONCEPTS. AFFINE CONNECTION. PARALLEL TRANSPORT. GEODESICS EQUATION.
- SYMMETRY AND KILLING VECTORS. RIEMANN TENSOR. SINGULARITY.
- EINSTEIN EQUATIONS.
- SCHWARZSCHILD METRIC.
- ORBITS IN THE SCHWARZSCHILD METRIC. MERCURY’S ORBIT.
- NON ROTATING BLACK HOLES. EVENT HORIZON AND THE CHOICE OF COORDINATES.
- KERR METRIC. ROTATING BLACK HOLES AND FRAME DRAGGING.
- INTRODUCTION TO GRAVITATIONAL WAVES.
- THE COSMOLOGICAL PRINCIPLE AND ROBERTSON-WALKER METRIC.
- FRIEDMAN EQUATIONS. NEWTONIAN LIMIT.
- COSMOLOGICAL REDSHIFT. COSMOLOGICAL HORIZONS. CO-MOVING COORDINATES AND PROPER DISTANCE.
- LUMINOSITY DISTANCE. ANGULAR DIAMETER DISTANCE.
- OBSERVATIONAL TESTS: HUBBLE TEST, ANGULAR DIAMETER TEST, NUMBER COUNTS.
- FLUIDS RELEVANT IN COSMOLOGY: EQUATION OF STATE AND DENSITY EVOLUTION. Cosmological constant.
- THE EQUIVALENCE EPOCH.
- THERMAL HISTORY OF THE UNIVERSE: DECOUPLING. RECOMBINATION.
- MATTER/ANTIMATTER AND THE BARYON ASYMMETRY.
- PLANCK EPOCH AND QUANTUM GRAVITY.
- HORIZON PARADOX. FLATNESS PARADOX. INFLATIONARY SOLUTION. COSMIC INFLATION.
- DARK MATTER.
- A BRIEF HISTORY OF THE UNIVERSE. HADRONIC EPOCH. LEPTONIC EPOCH. RADIATIVE EPOCH.
- NEUTRINO DECOUPLING.
- COSMOLOGICAL NUCLEOSYNTHESIS. MATTER EPOCH. FIRST OBJECTS. RE-IONIZATION.
- INHOMOGENEITY AND ANISOTROPY. JEANS GRAVITATIONAL INSTABILITY AND THE GROWTH OF COSMIC STRUCTURES

Carroll S. Spaceitme Geometry [Pearson 2003]
Coles P., Lucchin F. Cosmology [Wiley 2000]
Kolb E., Turner M. The eraly Universe [Addison Wesley 1990]