A Lean and Mean Introduction to Modern General Relativity

Fuente: arXiv
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Autor principal: Hayman, Peter
Formato: Preprint
Publicado: 2024
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author Hayman, Peter
author_facet Hayman, Peter
contents Notes prepared for the introductory general relativity course PHYSICS 748 at The University of Auckland. They are designed to introduce general relativity to upper-year undergraduate students directly using the modern language of differential geometry but in a physically motivated way, and throughout keeping a logical flow from section to section and chapter to chapter. In doing so, they necessarily cover a number of topics either not normally treated in an introductory course, or from a novel perspective. These include for example: affine spaces, comparing and contrasting rank-2 tensors with matrices, integration on manifolds, the Rindler metric, including a proper near-source boundary condition for the Schwarzschild metric, approaching Kruskal-Szekeres coordinates from a Rindler perspective, and more.
format Preprint
id arxiv_https___arxiv_org_abs_2412_08026
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Lean and Mean Introduction to Modern General Relativity
Hayman, Peter
General Relativity and Quantum Cosmology
Notes prepared for the introductory general relativity course PHYSICS 748 at The University of Auckland. They are designed to introduce general relativity to upper-year undergraduate students directly using the modern language of differential geometry but in a physically motivated way, and throughout keeping a logical flow from section to section and chapter to chapter. In doing so, they necessarily cover a number of topics either not normally treated in an introductory course, or from a novel perspective. These include for example: affine spaces, comparing and contrasting rank-2 tensors with matrices, integration on manifolds, the Rindler metric, including a proper near-source boundary condition for the Schwarzschild metric, approaching Kruskal-Szekeres coordinates from a Rindler perspective, and more.
title A Lean and Mean Introduction to Modern General Relativity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2412.08026