Main Objectives of the Course

• That the student is comfortable with the fundamental concepts of Einstein's theory of gravitation and is able to apply these concepts for the study of both compact systems and the evolution of the universe on a large scale.

• Acquire basic knowledge in calculus and differential geometry, exact solutions of Einstein's equations, interpretation of certain solutions and temporal evolution of the universe from the first moments until today.

• Learn to calculate the geodetic trajectories, the curvature tensors in an arbitrary space-time (in particular, in spaces with a high degree of symmetry).

• Get the feeling that Einstein's gravitation is probably the most beautiful theory in modern physics.

Degree competences (all transversal):

G001. Learn to pose and solve problems correctly.

G005. Be able to organize, plan and learn autonomously.

G006. Be able to analyze, synthesize and reason critically.

G008. Be able to present ideas, problems and scientific results orally and in writing.





Competences of the Fundamental Physics module (all generic):

CM01. Be able to describe the branches of current Physics.

CM02. Be able to raise and solve basic problems of these branches.

CM03. Be able to transmit basic ideas from fundamental physics to non-specialized public.

CM04. Be able to use several textbooks per subject.

CM05. Be able to lead and participate in group work.

Program

* Introduction. Tensor analysis elements.

* The Equivalence Principle.

* Einstein's equations of the gravitational field. The solution of Schwarzschild.

* The classic experimental tests of general relativity. Black holes. Gravitational radiation.

* Physical cosmology.

* Cosmological models.

Lectures on theoretical aspects, and practical problem-solving sessions.

• Final Assessment System
• Tools and qualification percentages:
  • Written test to be taken (%): 70
  • Realization of Practical Work (exercises, cases or problems) (%): 15
  • Individual works (%): 15

Not taking the ordinary call (convocatoria ordinaria) exam equals giving up the call (renuncia a la convocatoria).

"Este método de evaluación podría sufrir cambios si las directrices de las autoridades sanitarias así lo estableciesen. Las modificaciones se anunciarían oportunamente, contando con las estrategias y herramientas necesarias para garantizar el derecho del alumnado a ser evaluado con equidad y justicia."

Basic bibliography

Bibliografía

* B. Schutz (2003) Gravity from the ground up (Cambridge University Press)

* P.J.E. Peebles (1993) Principles of physical cosmology (Princeton University Press)

* S. Weinberg (1972) Gravitation and Cosmology: Principles and applications of the general theory of relativity (Wiley and sons, New York).

In-depth bibliography

Will be announced during the course.