Undergraduate Course: General Relativity (PHYS11010)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 11 (Year 5 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  General Relativity presents one of the most interesting intellectual challenges of an undergraduate physics degree, but its study can be a daunting prospect. This course treats the subject in a way which should be accessible not just to Mathematical Physicists, by making the subject as simple as possible (but not simpler). The classic results such as light bending and precession of the perihelion of Mercury are obtained from the Schwarzschild metric by variational means. Einstein's equations are developed, and are used to obtain the Schwarzschild metric and the RobertsonWalker metric of cosmology. 
Course description 
Not entered

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2024/25, Available to all students (SV1)

Quota: 0 
Course Start 
Semester 2 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Supervised Practical/Workshop/Studio Hours 11,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
61 )

Assessment (Further Info) 
Written Exam
100 %,
Coursework
0 %,
Practical Exam
0 %

Additional Information (Assessment) 
Degree Examination, 100% 
Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)   2:00  
Learning Outcomes
On completion of this course, the student will be able to:
 Discuss the role of mass in Newtonian physics and inertial forces; state and justify the Principle of Equivalence; define a local inertial frame; define the metric tensor and interpret as gravitational potentials.
 Derive the Geodesic Equation from the Principle of Equivalence; derive the affine connections; derive gravitational time dilation & redshift, precession of Mercury's perihelion, light bending, radar time delays, cosmological redshift, and horizons.
 Show the equivalence of the variational formulation of GR and the Geodesic Equation; derive the EulerLagrange equations; apply them to curved spacetimes to equations of motion; derive and sketch effective potentials and orbits in GR and Newtonian physics.
 State the Correspondence Principle and the Principle of General Covariance; calculate the special relativistic and Newtonian limits of GR equations; define a tensor and use appropriate tensor operations; discuss the need for a covariant derivative and derive it; define parallel transport, curvature tensor; discuss the relation of curvature to gravity and tidal forces; derive the curvature tensor; derive Einstein's equations and justify them in empty space and with matter; discuss and justify the inclusion of a Cosmological Constant.
 Derive the Schwarzschild and RobertsonWalker metrics; solve Einstein's equations to derive the Friedman equations; discuss gravitational waves; derive their wave equation; discuss metric singularities and relate to Black Holes, event horizons and infinite redshift surfaces; apply the general techniques to solve unseen problems, which may include analysis of previously unseen metrics.

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  GenRe 
Contacts
Course organiser  Prof John Peacock
Tel: (0131) 668 8390
Email: John.Peacock@ed.ac.uk 
Course secretary  Mrs Jo Thorpe
Tel:
Email: jthorpe3@ed.ac.uk 

