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Lecture III-A - course description

General information
Course name Lecture III-A
Course ID 13.7-WF-FiAT-W-III-A- 18
Faculty Faculty of Physics and Astronomy
Field of study Physics and Astronom
Education profile academic
Level of studies PhD studies
Beginning semester winter term 2018/2019
Course information
Semester 4
ECTS credits to win 3
Course type obligatory
Teaching language english
Author of syllabus
  • prof. dr hab. Ulrich Geppert
Classes forms
The class form Hours per semester (full-time) Hours per week (full-time) Hours per semester (part-time) Hours per week (part-time) Form of assignment
Lecture 30 2 - - Exam

Aim of the course

Students will gain basic knowledge about the theories of Special Relativity and General Relativity, and their role in theinterpretation of astrophysical phenomena. Students will learn mathematical methods necessary to apply relativistic understanding in application to real astrophysical data concerning compact objects, such as neutron stars or white dwarfs.

Prerequisites

Knowledge of classical mechanics, electrodynamics and calculus at the master of science level.

Scope

  • The rules of Special Relativity and General Relativity. Tensor calculus, Lorentz transformation, relativistic mechanics. , energy-momentum tensor.

  • The equivalence principle.

  • Gravitational redshift.

  • Tensors in Riemann space, covariant differential.

  • Space-time curvature around massive(relativistic) stars.

  • Einstein’s field equations, Schwartzschild metric.

  • Stellar structure equations.

  • Stellar collapse, supernovae.

  • Black holes.

  • Gravitational fields.

Teaching methods

Conventional lecture, discussion and consultaions.

Learning outcomes and methods of theirs verification

Outcome description Outcome symbols Methods of verification The class form

Assignment conditions

Positive grade from an oral exam. Active participation in the duscussions during lectures may influence the outccome of the exam.

Recommended reading

[1] lecture notes

[2] L.D. Landau & E.M. Lifshitz, Course of Theoretical Physics, Vol. 5, Statistical Physics, Pergamon Press

[3] J.B. Hartle, Gravity, Addison Wesley, 2003

Further reading

[1] S.L. Shapiro & S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars – the Physics of Compact Objects, John Wiley & Sons, 1983

[2] V.M. Lipunov, Astrophysics of Neutron Stars, Springer 1987

[3] B.F. Schutz, A First Course in General Relativity, Cambridge University Press, 2016

Notes


Modified by dr Joanna Kalaga (last modification: 30-08-2018 10:44)