Anúncios

Starting date and schedule

17 fevereiro 2017, 18:12 Daniele Vernieri

The course starts on Tuesday, 21 February, 5:30 pm.
The classes are given on Tuesdays 5:30 pm - 7:30 pm and Thursdays 5:00 pm - 7:00 pm.


Course evaluation

13 fevereiro 2017, 11:50 Daniele Vernieri

The final exam will be a 1-hour seminar on a recent research topic, agreed with me. 


Course description

7 fevereiro 2017, 17:08 Daniele Vernieri

- Theoretical Foundations of General Relativity 

Lovelock’s Theorem. Action of General Relativity and Field Equations. Stress-Energy Tensor Conservation and Geodesic Motion. Diffeomorphism Invariance of the Matter Action.

- General Relativity and Quantum Field Theory
The Problem of Renormalizability in Gravity. The Cosmological Constant. General Relativity, Astrophysics and Cosmology: Dark Matter and Dark Energy.

- The No-Go Theorem of Ostrogradski
The Exception: f(R) Gravity Theories. f(R) = R + a*R^2 Theory. f(R) Gravity in General.

- Beyond General Relativity: Breaking Lorentz Invariance or Adding Extra Fields?
Higher-Dimensional Spacetimes. Giving Up Diffeomorphism Invariance. Adding Extra Fields: The Most General Action for Gravity with a Scalar Field (Horndeski Lagrangian).

- Hořava Gravity: A Bridge between Gravity and Quantum Field Theory
Lorentz Invariance Breaking as Field Theory Regulator. A Quantum Field Theory of Gravity: Hořava Gravity. Einstein-Aether (AE) Theory. Relation Between Hořava Gravity and AE-Theory. Renormalizability of Hořava Gravity. Phenomenology and Cosmological Constraints.