| CODE | MAT3513 | ||||||||
| TITLE | Tensors and Relativity | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 5 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - Differentiable manifolds; - Maps of manifolds; - Tangent and cotangent spaces; - Bases; - Tensors and tensor algebra; - The metric tensor; - Tensor transformation law; - Tensor fields; - Christoffel symbols; - Covariant derivative; - Parallel propagation and geodesics; - The Riemann tensor and its symmetries; - The Ricci tensor, curvature scalar and Weyl tensor; - The Bianchi identities; - Principle of equivalence; - Gravitation as space-time curvature; - Energy-momentum tensor; - Perfect fluids; - Einstein’s field equations; - Schwarzschild black hole solution. Suggested Reading - Carroll S.M., Spacetime and Geometry: An Introduction to General Relativity, 1st Edition, Addison Wesley, New York, 2003. - Schutz B.F., A first course in General Relativity, Cambridge University Press, Cambridge, 1985. - Camilleri C.J., Tensor Analysis, Malta University Press, Malta, 1999. |
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| ADDITIONAL NOTES | Leads to: MAT5615 | ||||||||
| STUDY-UNIT TYPE | Lecture and Tutorial | ||||||||
| METHOD OF ASSESSMENT |
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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 Units not attracting a sufficient number of registrations may be withdrawn without notice.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 2023/4. It may be subject to change in subsequent years. |
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