Course guide of General Relativity (26711C1)

• Métodos Matemáticos I, II, III
• Análisis matemático I, II
• Álgebra lineal y Geometría I, II
• Mecánica y Ondas
• Electromagnetismo

In the case the IA tools are used for the development of the course, the student must make an ethical and responsible use of these tools. The recommendations contained in the document "Recomendaciones para el uso de la inteligencia artificial en la UGR" that can be found in the following link:
https://ceprud.ugr.es/formacion-tic/inteligencia-artificial/recomendaciones-ia#contenido0

• Differential Geometry
• Einstein equations
• Classical Tests of General Relativity
• Exact solutions: black holes, gravitational waves and cosmological models

• Knowledge of General Relativity as the modern theory of gravity
• Comprehend the importance of symmetries in Physics and being able to apply them
• Notions of geometry in curved space
• Knowledge of the Einstein equations and its implications
• Knowledge of black holes, gravitational waves and cosmological models

• Chapter 1. Review of special relativity: Lorentz transformations, Minkowski space and Lorentz group; covariant formulation of Maxwell equations and relativistic mechanics.
• Chapter 2. Differential geometry: manifolds and general coordinate transformations; tensor calculus; Lie and covariant derivatives; curvature tensor and geodesics.
• Chapter 3. General Relativity: equivalence principle, energy-momentum tensor and Einstein equations.
• Chapter 4. Applications: Physics in curved space; classical tests of general relativity; black holes; gravitational waves; cosmology.

1. Problems and exercises of the theory
2. Asistence in specialised seminars

• Bert Janssen, Gravitación y Geometría, Editorial Universidad de Granada, 2022.
• R. D'Inverno, Introducing Einstein's Relativity, Oxford University Press, 1992.
• S. Carroll, Spacetime and Geometry, Addison-Wesley, 2004.
• S. Weinberg, Gravitation and cosmology, Wiley, 1972.

• C. Misner, K. Thorn, A. Wheeler, Gravitation, Freeman, 1973
• R. Wald, General Relativity, Chicago University Press, 1984.
• H. Stefani, General Relativity, Cambridge University Press, 1982.
• B.F. Schutz, A first course in General Relativity, Cambridge University Press, 1985.
• J. Hartle, Gravity, Addison-Wesley, 2003.
• E. Poisson, A relativist's Toolkit, Cambridge University Press, 2004.
• T.P. Cheng, Relativity, Gravitation and Cosmology, Oxford University Press, 200

• MD01. Theoretical classes

Continuous evaluation:

• Exercises to be handed in & tests (30%)
• Final exam (70%).

In order to pass the course a minimum of 4 points (out of 10) have to be reached in the final exam.

Assessment due to Incidents: Students who are unable to attend final assessment exams (ordinary, extraordinary and single final) or officially scheduled evaluations outlined in the Course Guide may request special assessment due to extenuating circumstances. This is permissible under the conditions specified in Article 9 of the University of Granada's Regulations on Student Assessment and Grading, and must follow the procedure detailed therein.

The extraordinary assessment session will consist of the same tests as the Single final assessment. It will consist of a single written exam that covers all the content of the course (learning outcomes). The student will have the opportunity to obtain 100% of the score.

In accordance with the UGR's Regulations on Student Assessment and Grading, a single final assessment is available for students who are unable to participate in the continuous assessment method due to any of the reasons stipulated in Article 8. To opt for this single final assessment, students must submit a request via the electronic portal within the first two weeks of the course's instruction, or within two weeks following their enrollment if it occurs later. Exceptions may be made for overriding unforeseen circumstances that arise after these initial periods. The request must clearly state and provide evidence for the reasons preventing their participation in the continuous assessment system. The single final assessment will consist of a single written exam that covers all the content of the course (learning outcomes). The student will have the opportunity to obtain 100% of the score.

Students with Specific Educational Support Needs (SESN) Following the recommendations from the CRUE and the UGR's Secretariat for Inclusion and Diversity, the systems for acquiring and assessing competencies outlined in this teaching guide will be applied in accordance with the principle of universal design. This approach aims to facilitate learning and the demonstration of knowledge, aligning with the needs and functional diversity of the student body. Teaching methodology and assessment will be adapted for students with SESN, in line with Article 11 of the UGR's Regulations on Student Assessment and Grading, published in the Official Bulletin of the UGR No. 112, dated November 9, 2016. UGR Inclusion and Diversity For students with disabilities or other SESN, the tutoring system must be adapted to their needs, in accordance with the UGR's Inclusion Unit recommendations. Departments and Centers must establish appropriate measures to ensure that tutoring sessions are held in accessible locations. Furthermore, faculty may request support from the University's competent unit when special methodological adaptations are required.

Información de interés para estudiantado con discapacidad y/o Necesidades Específicas de Apoyo Educativo (NEAE): Gestión de servicios y apoyos (https://ve.ugr.es/servicios/atencion-social/estudiantes-con-discapacidad).