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General Relativity for Mathematicians - Part I
Abstract
These notes cover the first part of a course of the same title taught by Filippo Fila-Robattino and Manuel Tecchiolli at the University of Zurich in the Winter Semester of 2025. Topics include variational principles in classical mechanics, special relativity, smooth manifolds and tensor calculus, connections and curvature, geodesic motion, and the derivation of Einstein's equations from the Einstein-Hilbert action. The treatment is aimed at a mathematical audience, combining physical motivation with precise definitions, detailed proofs, and explicit calculations.
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BibTeX
@misc{filarobattino2026general,
title = {{General Relativity for Mathematicians - Part I}},
author = {Filippo Fila-Robattino and Manuel Tecchiolli},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35194},
eprint = {2610.35194},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35194},
}
RIS
TY - UNPB
TI - General Relativity for Mathematicians - Part I
AU - Filippo Fila-Robattino
AU - Manuel Tecchiolli
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35194
UR - https://arxiv.org/abs/2610.35194
AB - These notes cover the first part of a course of the same title taught by Filippo Fila-Robattino and Manuel Tecchiolli at the University of Zurich in the Winter Semester of 2025. Topics include variational principles in classical mechanics, special relativity, smooth manifolds and tensor calculus, connections and curvature, geodesic motion, and the derivation of Einstein's equations from the Einstein-Hilbert action. The treatment is aimed at a mathematical audience, combining physical motivation with precise definitions, detailed proofs, and explicit calculations.
ER -