The University of Southampton
Courses

MATH6139 Advanced General Relativity

Module Overview

General relativity is the theory of spacetime and gravity developed by Einstein. This module aims to develop a geometric understanding of general relativity and explore advanced applications of GR. In particular, we will study the physics of black holes (regions of spacetime which are causally disconnected from the rest of the Universe), uncovering their surprising properties.

Aims and Objectives

Module Aims

General relativity is the theory of spacetime and gravity developed by Einstein. This module aims to develop a geometric understanding of general relativity and explore advanced applications of GR. In particular, we will study the physics of black holes (regions of spacetime which are causally disconnected from the rest of the Universe), uncovering their surprising properties.

Learning Outcomes

Learning Outcomes

Having successfully completed this module you will be able to:

  • Understanding of the foundations of general relativity.
  • Assimilation of material from multiple sources to produce a coherent understanding of a topic.
  • Ability to extract key ideas from complex research literature.
  • Understanding of the use of general relativity in describing strong gravity phenomena.

Syllabus

1. Summary of the mathematics of general relativity: manifolds, tensors, covariant derivatives and curvature 2. Lagrangian formulation of general relativity 3. Black holes: causal structure, Penrose diagrams and the event horizon 4. Conserved charges in general relativity 5. The laws of black hole mechanics If time permits, we will also discuss 1. Hawking radiation and information loss 2. Charged black holes and the AdS/CFT correspondence

Learning and Teaching

Teaching and learning methods

Lectures, notes and private study

TypeHours
Tutorial12
Independent Study114
Lecture24
Total study time150

Resources & Reading list

R.M.Wald. General relativity. 

Assessment

Summative

MethodPercentage contribution
Coursework 20%
Exam 80%

Referral

MethodPercentage contribution
Exam 100%

Linked modules

Pre-requisite: MATH3006 Relativity, Blackholes And Cosmology 2016-17

Costs

Costs associated with this module

Students are responsible for meeting the cost of essential textbooks, and of producing such essays, assignments, laboratory reports and dissertations as are required to fulfil the academic requirements for each programme of study.

In addition to this, students registered for this module typically also have to pay for:

Books and Stationery equipment

Course texts are provided by the library and there are no additional compulsory costs associated with the module.

Please also ensure you read the section on additional costs in the University’s Fees, Charges and Expenses Regulations in the University Calendar available at www.calendar.soton.ac.uk.

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