Anúncios

Starting date and schedule"

10 fevereiro 2016, 10:22 Vincenzo Vitagliano

The course starts Tuesday, 16 February, 5pm.
The classes are given on Tuesdays and Thursdays 5:00 pm - 7:00 pm.


Course evaluation

8 fevereiro 2016, 11:47 Vincenzo Vitagliano

The final exam will be a 1-hour-seminar on a recent research topic, agreed by students and professors.


Course description

8 fevereiro 2016, 11:42 Vincenzo Vitagliano

Introduction to QFT in curved spacetime (8 lectures) - Dr. Vincenzo Vitagliano

Canonical quantization and particle production. Quantum fields in an expanding universe. Bogoliubov transformations.
Unruh effect. Hawking radiation and black holes thermodynamics. The Casimir effect. Path integrals and vacuum polarization.
Effective action for a driven harmonic oscillator and in general. Semiclassical gravity. Zeta function renormalization.
Computation of functions using heat kernels.


Compact objects (8 lectures) - Dr. Caio Macedo

Newtonian stars and dark stars. Relativistic matter: equation of state. Equilibrium configurations.
Basic properties of white dwarfs and neutron stars. Black holes: brief view. Stars formed by fundamental fields:
boson stars, oscillatons, singlets.


Introduction to numerical relativity (4 lectures) - Dr. Andrea Nerozzi
 
Numerical methods for solving partial differential equations. Elliptic equations. Hyperbolic equations.
Fixed and adaptive mesh refinement. The two-body problem in general relativity.
3+1 splitting of spacetime. Extrinsic curvature. The constraints. ADM evolution equations. BSSN evolution
equations. Numerical solution of the constraints. Wave extraction and the Newman-Penrose formalism.


Advanced cosmology (4 lectures) - Dr. Vincenzo Vitagliano

Evolution of perturbations of homogeneous and isotropic spacetimes. Metric approach.
Introduction to the gauge invariant Bardeen cosmological perturbations.