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12816 Relativity - Five-year degree in Mathematics


Center
Faculty of Mathematics
Departament
Astronomy and Astrophysics
Lecturers in charge
Sin datos cargados
Met. Docent
Met. Avaluació
Final examination - -
Bibliografia
Bibliografía manual de curso:

Misner, C.W., Thorne, K. S., Wheeler, J. A. (1973): Gravitation. San Francisco. Freeman.

Moller, C. (1952) : The Theory of Relativity. Oxford. Clarendon Press.

Synge, J.L. (1965): Relativity: the special theory. Amsterdam. North-Holland.

Bibliografía complementaria:

Adler, R., Bazin, M., Schiffer, M.(1975): Introduction to General Relativity.New York.
McGraw-Hill.

Hawking, S. W., Ellis, G. F. R. (1977): The Large Scale Structure of Space-times. London. Cambridge University Press.

Continguts
Objectives
The subject, Relativity, sets out to give a global vision of this discipline. Given it is essential that the students knows the Riemann varieties, it is customary in the first month of classes to impart three topics on these structures, enough for the student to be able to understand Relativity comfortably. Given the fact that not all the students have done this module. Geometric structure of space-time, will be dedicated to some special topics within relativity. These topics will be given a different focus so that they will be novel for all the students.
In the second half of the quarter we will look at General Relativity.

Theory Program

TOPIC 1: TENSORS AND TENSORIAL FIELDS

TOPIC 2: CONNECTION TO A VARIETY

TOPIC 3: PSEUDO-RIEMANNIAN VARIETIES

TOPIC 4: RELATIVISTIC KINEMATICS

TOPIC 5: RELATIVISTIC DYNAMICS

TOPIC 6: MINKOWSKI SPACE

TOPIC 7: SPACE-TIME

TOPIC 8: MEDIS CONTINUS

TOPIC 9: CAMP EQUATIONS

TOPIC 10: SCHWARZSCHILD SYMMETRY

TOPIC 11: EXPERIMENT VERIFICATIONS

TOPIC 12: GRAVITATIONAL COLLAPSE