Timeline for Geodesic Incompleteness and the Kretschmann Scalar
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 10, 2023 at 20:58 | comment | added | Bruno Le Floch | @Everiana Geodesics are well-defined with just an affine connection: math.stackexchange.com/questions/3729415 OTOH, computing the Kretschmann scalar requires contracting indices of the Riemann tensor in a way that requires a metric. | |
| Mar 11, 2020 at 16:42 | history | edited | Qmechanic♦ | CC BY-SA 4.0 |
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| Mar 11, 2020 at 13:47 | answer | added | Slereah | timeline score: 3 | |
| Mar 9, 2020 at 15:18 | answer | added | Void | timeline score: 2 | |
| Mar 9, 2020 at 15:14 | comment | added | KayS | @Everiana Thanks for the comment. My question is about the singularities of a given metric, and if my understanding is correct, singularities of a metric are 'defined' by geodesic (in-)completeness. Therefore, it is more than natural to consider the Levi-Civita connection and the curvature computed by it. It is obvious that singularities and curvature are some-what related. My confusion is 'to what extent?' | |
| Mar 9, 2020 at 14:48 | comment | added | Evangeline A. K. McDowell | I believe they can be unrelated in the following sense: definition of curvature only depends on the affine connection, but this does not require a metric on the manifold, so one may not even have a notion of geodesics. Of course, usually we compute Kretschmann scalar using the metric, so this point is not always clear. | |
| Mar 9, 2020 at 14:29 | history | asked | KayS | CC BY-SA 4.0 |