Theory of General Relativity
Collegejaar:  20182019 

Studiegidsnummer:  4403TGR64 
Docent(en): 

Voertaal:  Engels 
Blackboard:  Ja 
EC:  6 
Niveau:  400 
Periode:  Semester 1 
Onderwijstijd in uren (excl. zelfstudie): 
168:00 uur 
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Admission Requirements
BSc physics, BSc astronomy, BSc mathematics. An introductory bachelor course in gravity such as the "Introduction to general relativity and astrophysical applications" offered in Leiden is strongly recommended.
Description
The classical theory of gravity can be interpreted as the geometry of spacetime.It combines the language of field theory with the language of differential geometry onmanifolds. The basic concepts of these subjects will be introduced and it will be shown how they are used to describe gravitational phenomena, from relativistic corrections to orbits of planets and stars, to gravitational waves, black holes and the evolution of the universe at large.
Topics:
 Review of newtonian gravity
 Review of Special Relativity
 Differential geometry on manifolds, including the concepts of metric, connection and curvature
 Equivalence principle, geodesic motion
 Einstein equations, variational principle
 Gravitational waves
 Schwarzschild solution, stars and black holes
 Cosmology of a homogeneous and isotropic universe
Course objectives
This course provides the basis for work in relativistic astronomy, cosmology, quantum gravity and applications. It will:
 acquaint you with the concepts of field theory and differential geometry
 teach you to use these concepts to solve problems of gravitational physics and cosmology
 prepare you for advanced courses on gravitational physics and cosmology
 allow you to access the scientific literature on these topics and understand the recent progress in experimental and observational research
Timetable
Mode of instruction
Class room lectures will introduce the material. Homework problems are provided to practice mathematical methods and gain experience in their application to gravitational physics.
Assessment method
A midterm and a final written exam will together determine the grading of the course, the weight of the midterm exam being 40% and of the final exam 60% of the final grade.
Blackboard
Course material is on Blackboard.
To have access to Blackboard you need a ULCNaccount.Blackboard UL
Reading list
Primary text book:
S. Carroll, Spacetime and Geometry, an Introduction to General Relativity (Benjamin Cummings, 2003).
Recommended background reading:
J.B. Hartle, an introduction to Einstein's general relativity, (AddisonWesley, 2003). A bachelor level introductory text stressing the physical concepts.
R. Wald, General Relativity (Univ. Chicago Press, 1984). High level treatise of the relevant differential geometry.
C. Misner, K. Thorne, J.A. Wheeler, Gravitation (Freeman, 1973). Standard text on the professional level
Contact
Lecturer: Prof.dr.J. W.van Holten (Jan Willem)
Maakt deel uit van  Soort opleiding  Semester  Blok 

Astronomy and Cosmology  Master  1  
Physics  Master  1  
Physics: Research in Physics, Cosmology  Master  1  
Physics: Research in Physics, Theoretical Physics  Master  1 