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Advanced General Relativity - MAT00077M

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  • Department: Mathematics
  • Module co-ordinator: Prof. Chris Fewster
  • Credit value: 10 credits
  • Credit level: M
  • Academic year of delivery: 2022-23
    • See module specification for other years: 2021-22

Related modules

Pre-requisite modules

Co-requisite modules

  • None

Prohibited combinations

  • None

Module will run

Occurrence Teaching period
A Spring Term 2022-23

Module aims

Building on the General Relativity module, this module introduces three topics in advanced general relativity, each of which is connected to important areas of research.

Module learning outcomes

Subject content

The module consists of three topics in advanced general relativity, of 6 lectures each. At the end of the module, a student will know and understand the key ideas of each topic and be able to solve unseen problems using these methods. They will also have an appreciation of the wider context and significance of the content.

Academic and graduate skills

  • Academic skills: the topics and methods taught are central in research in General Relativity.

  • Graduate skills: through lectures, examples, classes, students will develop their ability to assimilate, process and engage with new material quickly and efficiently. They develop problem solving-skills and learn how to apply techniques to unseen problems.

Module content

The precise content is subject to change from year to year but will be announced in advance of module choices being made.

Indicative content:

  • Topic 1: Energy conditions and singularity theorems

  • Topic 2: Black holes: Schwarzschild black hole, charged black hole, rotating black hole

  • Topic 3: Initial value problems for the Maxwell and Einstein equations, gauge choice and constraints


Task Length % of module mark
Closed/in-person Exam (Centrally scheduled)
Advanced General Relativity
2 hours 100

Special assessment rules



Task Length % of module mark
Closed/in-person Exam (Centrally scheduled)
Advanced General Relativity
2 hours 100

Module feedback

Current Department policy on feedback is available in the student handbook. Coursework and examinations will be marked and returned in accordance with this policy.

Indicative reading

RM Wald, General Relativity

SW Hawking & GFR Ellis, The Large Scale Structure of Space-Time

The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.