| CODE | MAT5615 | ||||||||
| TITLE | General Relativity | ||||||||
| UM LEVEL | 05 - Postgraduate Modular Diploma or Degree Course | ||||||||
| MQF LEVEL | 7 | ||||||||
| ECTS CREDITS | 15 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | Einstein's equations; Lagrangian formulation The cosmological constant Exterior and interior Schwarzschild solutions; Matching conditions Maximally extended Schwarzschild solution; Penrose diagrams General black holes; Rotating black hole Event horizons and Killing horizons Homogeneous and isotropic cosmology Robertson-Walker metrics; Friedmann universes Study-unit Aims: To give the necessary background in general relativity and cosmology to students intending to pursue research in relativistic astrophysics or cosmology. Learning Outcomes: 1. Knowledge & Understanding: By the end of the study-unit the student will be able to: Describe the different classes of solutions of Einstein's field equations and matching conditions; Find the Penrose diagrams for some of the exact solutions; Underline the relations and differences between event horizons, apparent horizons and Killing horizons; Work with different isotropic and homogeneous cosmological models. 2. Skills: By the end of the study-unit the student will be able to have the necessary background to do research in an area of relativistic astrophysics, such as black hole physics and the physics of compact objects, or cosmology. Main Text/s and any supplementary readings: - S. M. Carroll, "Spacetime and Geometry: An Introduction to General Relativity", Addison Wesley, 2003. - R. M. Wald, "General Relativity", University of Chicago Press, 1984. - J. V. Narlikar, "An Introduction to Cosmology", Cambridge University Press, 2002. |
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| ADDITIONAL NOTES | Pre-requisite Qualifications: B.Sc. with Mathematics as a main area Follows from: MAT3513 |
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| STUDY-UNIT TYPE | Lecture and Independent Study | ||||||||
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| LECTURER/S | Joseph Sultana |
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The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2024/5. It may be subject to change in subsequent years. |
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