General Relativity
Faculteit  Science and Engineering 
Jaar  2022/23 
Vakcode  WMPH00905 
Vaknaam  General Relativity 
Niveau(s)  master 
Voertaal  Engels 
Periode  semester I a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  General Relativity  
Leerdoelen  By the end of the course the students should be able to: 1. Perform basic operations in differential geometry: transform tensors under change of coordinates, compute Christoffel symbols and curvature tensors from metric, explain notions of manifolds, geodesics, parallel transport etc. 2. Compute motion of particles and light in curved spacetime, derive the nonrelativistic limit of General Relativity. 3. Be familiar with the Einstein equations and able to apply them and verify that specific metrics obey the equations. Be able to derive gravitational wave solutions from Einstein equations. 4. Describe the physics of local observers and compute the motion of particles in the vicinity of black holes. 5. Derive the basic cosmological models from the Einstein equations and describe their physical properties. 

Omschrijving  These lectures will study Einstein's theory of gravity. The module starts with an introduction to the geometry that is required tounderstand the relationship between gravity and the geometrical properties of space and time. In the remaining part of the module we will study three classes of solutions to Einstein's theory: (1) black hole solutions such as the Schwarzschild black hole. We will use these solutions to calculate the perihelion shift of Mercury, one of the predictions of general relativity (2) gravitational wave solutions. We will discuss the detection of gravitational waves (3) cosmological solutions such as the FriedmanLemaitreRobertsonWalker cosmology. We will discuss the Big Bang with which the universe started. At the end of the course we will introduce the precise mathematical form of the Einstein equations describing the gravitational interactions.  
Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)
(24 LC, 12 T, 38 ASM, 66 selfstudy) 

Toetsvorm  Opdracht (AST), Schriftelijk tentamen (WE)  
Vaksoort  master  
Coördinator  prof. dr. E.A. Bergshoeff  
Docent(en)  prof. dr. E.A. Bergshoeff  
Verplichte literatuur 


Entreevoorwaarden  The students should have sufficient knowledge of the Bachelor courses Special Relativity; Classic Mechanics and Electromagnetism.  
Opmerkingen  WE 80 % =The written exam consists of a number of exercises, 20% AST Some selected assigned (sub)exercise will be graded. the final grade should be higher than 5.5 This course was registered last year with course code NAGR08 

Opgenomen in 
