Abstract
Chapter 2 begins with the introduction of the metric matrix and the effect of a homogeneous field of gravitation on a mass particle. Then the motion on geodesic lines in a gravitational field is considered. The general transformation of coordinates leads to the Christoffel matrix and the Riemannian curvature matrix. With the help of the Ricci matrix the Theory of General Relativity of Einstein can then be formulated.
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Notes
- 1.
The sum of the products of all elements of a row (or column) with its adjuncts is equal to the determinant’s value: \(\det A = \sum_{j=1}^{n} (-1)^{i+j} \cdot a_{ij} \cdot \det A_{ij}\) (development along the ith row)
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Ludyk, G. (2013). Theory of General Relativity. In: Einstein in Matrix Form. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35798-5_2
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DOI: https://doi.org/10.1007/978-3-642-35798-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35797-8
Online ISBN: 978-3-642-35798-5
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