Gravity

Code

PHYS4002

School

Physics and Astronomy

Level

4

Credits

10

Semesters

Autumn UK

Summary

This module provides an introduction to the modern theory of gravitation: Einstein's general theory of relativity. Topics to be covered include:
1) Specifying geometry: Two dimensional surface, coordinates, line element, geodesics, Euler-Lagrange eqns.
2) Special Relativity: Revision of basics, invariant interval, proper time, Doppler effect, 4-vectors, free particle paths as geodesics.
3) Equivalence principle: Inertial and gravitational mass, tidal force, local inertial frames, consequences of EP, light bending, gravitational red-shift.
4) General relativity: Curved spacetime, coordinates, line element, metric, Einstein's equation (sketch), light cones, geodesics, motion in weak gravitational field.
5) Schwarzschild solution: Line element, asymptotic flatness, gravitational red-shift, geodesics. Solar system tests of general relativity, light bending by Sun, perihelion precession of Mercury, Shapiro time delay.
6) Schwarzschild black hole: gravitational collapse, Eddington-Finkelstein coordinates, event horizon, curvature singularity.
 

Target Students

4th Year MSci Physics, CMP and Natural Sciences, MScin Gravity, Particles andFields students.

Classes

This module is based on a regular series of lectures supplemented by workshops.

Assessment

• 100% Coursework 1: Problem Sheet

Assessed by end of autumn semester

Educational Aims

Learning Outcomes

Knowledge and Understanding: 
On successful completion of the module, students will have enhanced their: 

• A1 knowledge and understanding of the inconsistency between Newtonian gravity and special relativity, the equivalence principle and its consequences, the specification of curved spacetimes  
• A2 knowledge and understanding of the scientific method  
• A3 understanding of how the basic principles of general relativity are applied in a range of situations including solar system tests of the theory and black holes 

Intellectual Skills: 
On successful completion of the module, students will have demonstrated their ability to:

• B1 apply theoretical ideas to the quantitative analysis of physical situations  
• B2 apply high levels of numeracy and analysis  
• B3 apply techniques of problem solving

Professional/Practical Skills: 

On successful completion of the module, students will have demonstrated their ability to:

• C1 formulate problems in gravitation using appropriate mathematical language 

Transferable/Key Skills: 
On successful completion of the module, students will have demonstrated their ability to:

• D1 develop appropriate strategies for study, including the use of library, human, and electronic sources of information  
• D3 meet deadlines and manage their time effectively  
• D4 make effective use of general IT tools for acquiring, processing, and presenting information 

Conveners

• Professor Paul Saffin