Programme/Approved Electives for 2025/26
None
Available as a Free Standing Elective
No
One of the triumphs of 20th century physics was Einstein's geometric theory of gravity, that extended Special Relativity by introducing the concept that spacetime could be curved by mass and energy. This "General Relativity"; provides today's most accurate theory for gravitation, that predicts and explains some of the most exotic phenomena seen in the universe. In this module students will receive a grounding in General Relativity and learn how it can be applied, both analytically and computationally, to systems as diverse as the motion of planets in our own solar system to objects orbiting around black holes. Students will also learn how General Relativity predicts the generation and propagation of gravitational waves from various astrophysical sources and how these waves can be detected and interpreted using gravitational wave detectors, whose design and sensitivity will be studied. The module will engage with topics that are at the very forefront of contemporary physics and astrophysics research and throughout there will be an emphasis on making connections with material met at levels 4 and 5.
Aims
The module aims to present the theory of General Relativity in the context of solar system, stellar and black hole astrophysics, a level of mathematical complexity appropriate for level 6 Physics/Astrophysics students. Students will have the opportunity to apply the theory of General Relativity to examples within these arenas and to develop and practise analytical, numerical and problem-solving skills. Students will also apply General Relativity as a tool for understanding the generation of gravitational waves and will study the techniques used for their detection making synoptic links to previously studied (at levels 4 and 5) modules in Optics, Waves, Mechanics and computer programming. Throughout, there will be an emphasis on the forefront nature of these topics by making use of, and choosing examples from, the very latest research in the fields of gravitational wave detection and black hole astrophysics.
Talis Aspire Reading ListAny reading lists will be provided by the start of the course.http://lists.lib.keele.ac.uk/modules/phy-30035/lists
Intended Learning Outcomes
apply the theory of General Relativity to solve problems in solar system, stellar and black hole astrophysics, identifying the appropriate analytical or numerical tools; quantitatively assess when a General Relativistic, rather than Newtonian approach is required: 1,2describe and explain the main planks of evidence for General Relativity and for the existence of black holes: 1,2use General Relativity to explain the existence, propagation and generation of gravitational waves and to solve problems relating to gravitational wave sources using appropriate analytical and numerical techniques: 1,2explain the physical nature and purpose of the design and main components of gravitational wave detectors and quantitatively describe the factors that influence detector design and sensitivity: 1,2engage with, and assimilate knowledge from, original research material and the primary literature: 2
Active Learning Hours:Class room sessions 22 hoursTutorial 11 hoursIndependent Study HoursProblem sheet preparation 42.5 hoursPrivate study 72 hoursExamination 2.5 hours
Description of Module Assessment
1: Exam weighted 70%2.5-hour invigilated, unseen, closed-book examinationExam consists of 5 equal-weight questions. Students are required to answer 3, with a free choice.
2: Problem Sheets weighted 30%Problem SheetsThere will be 3 equally weighted problem sheets issued throughout the semester at regular intervals. Tasks will include problem solving, literature comprehension and computer modelling. Estimated study time to complete will be 10-15 hours per problem sheet.