Learning outcomes

1.  Carry out academic work independently using bibliography (especially in English), databases and through collaboration with other professionals
2. Communicate complex information in an effective, clear and concise manner, either orally, in writing or through ICTs, in front of both specialist and general publics.
3. Use critical reasoning, show analytical skills, correctly use technical language and develop logical arguments
4. Work independently, take initiative itself, be able to organize to achieve results and to plan and execute a project.
5. Working in groups, assume shared responsibilities and interact professionally and constructively with others, showing absolute respect for their rights.
6. Use space-time symmetries for solving problems of dynamics and relativistic kinematics.
7. Obtain physical magnitudes measured by different observers from pseudo-Riemannian metrics.
8. Calculate the effect of red shift and the deflection of light produced by a gravitational field.
9. Calculate particle trajectories in gravitational fields solving the geodesic equation.
10. Calculate the simple-distribution energy-momentum tensor for matter.
11. Obtain tidal forces from the curvature tensor.
12. Relate general relativity and electromagnetism establishing their similarities and differences.
13. Describe gravitational waves and their characteristic properties.
14. Describe the characteristics of the gravitational field generated by stars and black holes in addition to the effects they produce.
15. Describe the basic concepts of current knowledge regarding the structure and evolution of the universe.
16. Establish the bases for describing the evaporation and thermodynamics of black holes.
17. Obtain the Newtonian limit of Einstein's equations with weak non-relativistic sources.
18. Use Einstein's equations in a linearized manner so as to describe weak gravitational fields, including the generation, propagation and detection of gravitational waves.
19. Use the approximation of spherical symmetry in the study of stars and black holes.
20. Use the approach of homogeneity and isotropy to describe the structure and evolution of the universe on a large scale.
21. Use covariant equations and tensor calculus.
22. Calculate the geodesics in a curved space.
23. Calculate curvature tensor.
24. Use differential geometry to implement the principle of equivalence.
25. Describe experimental evidence in favor of general relativity and the principle of equivalence in terrestrial and astrophysical observations.
26. Describe experimental evidence for the existence of gravitational waves.
27. Describe observational evidence in favour of big bang cosmology.
28. Identify situations in which a change or improvement is needed.
29. Identify the social, economic and environmental implications of academic and professional activities within one's own area of knowledge.