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1 - General relativity, kinematics: metric, parallel transport, and general coordinate invariance

Published online by Cambridge University Press:  24 April 2025

Horatiu Nastase
Affiliation:
Universidade Estadual Paulista, São Paulo
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Summary

The kinematics of general relativity is described. General relativity is given by intrinsically curved spacetimes, for non-Euclidean geometry, based on two assumptions, leading to two physical principles for the kinematics (plus one equation for the dynamics). The kinematics is based on the same parallel transport as for gauge theories. The motion of free particles is on geodesics in the curved spacetime.

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General Relativity
A Graduate Course
, pp. 3 - 17
Publisher: Cambridge University Press
Print publication year: 2025

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