AGQ: Gravity MATHS5083

  • Academic Session: 2024-25
  • School: School of Mathematics and Statistics
  • Credits: 15
  • Level: Level 5 (SCQF level 11)
  • Typically Offered: Either Semester 1 or Semester 2
  • Available to Visiting Students: Yes
  • Collaborative Online International Learning: No

Short Description

Black hole geometries are curious solutions of the general theory of relativity. This course shall study such black hole geometries from both a classical and a quantum perspective. The course will effectively have two parts. In the first half it will discuss different exact but `time-independent' black hole solutions, their causal structures, and symmetries, finally leading to the thermodynamic nature of these black holes.

In the second half the course will attempt to construct dynamical but approximate black hole solutions, the course might study black holes in semi-classical gravity, leading to the topic of Hawking radiation, and the course might contemplate the information paradox.

Timetable

2 hour sessions weekly.

The AGQ program will be setting the timing.

 

Classroom as well as equipment for online delivery to transmit the course to Edinburgh.

Requirements of Entry

This is a non-required course for students in the AGQ programme. With permission from AGQ directors students not enrolled in AGQ may also take this course.

Excluded Courses

none

Co-requisites

none

Assessment

Normally students will complete course work.

Course Aims

This course covers several fundamental topics in Mathematical Physics, providing a solid and broad foundation to the subject and its interactions with algebra, geometry and analysis.

Intended Learning Outcomes of Course

On completion of this course, the student will be able to: • Understand relevant physical models for gravity and relativity, from a mathematical perspective. • Apply physical intuition to solve problems of a combined mathematical/physical nature.

Minimum Requirement for Award of Credits

Students must submit at least 75% by weight of the components (including examinations) of the course's summative assessment.