Timeline for Learning roadmap for Lorentzian geometry
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| May 26, 2021 at 15:59 | comment | added | Pedro Lauridsen Ribeiro | O'Neill's reference is really meant as a starting point, especially considering your stated background, as I said above. Before delving into anti-de Sitter geometry, one needs to be acquainted with Lorentzian geometry proper, specially regarding what makes it different from Riemannian geometry. O'Neill's book is as good a place for that as any. | |
| May 26, 2021 at 15:54 | comment | added | Pedro Lauridsen Ribeiro | The behavior of constant curvature in Lorentz signature has some resemblances with the Riemannian case, but also many differences. The behavior of timelike geodesics, for instance, is reversed - de Sitter timelike geodesics drift away exponentially fast from each other (as they would in hyperbolic space), whereas anti-de Sitter timelike geodesics tend to refocus back (as they would in a sphere). O'Neill's book explains these differences beautifully and thoroughly. Moreover, any book on Lorentzian geometry is bound to relate to GR, as it's both its source and main field of applications. | |
| May 26, 2021 at 15:29 | comment | added | user2022 | The ch. 4 of the book by Barrett O'Neill, Semi-Riemannian Geometry and MSE question give an introduction toward general relativity. But, I am more interested in learning the hyperbolic geometric aspects of the subject, namely, its relation with Hyperbolic manifolds and Teichmuller theory. | |
| May 26, 2021 at 15:04 | history | answered | Pedro Lauridsen Ribeiro | CC BY-SA 4.0 |