
TL;DR
This paper derives linearized general relativity from gravitational considerations, introducing string-like structures through gauge invariance and differential geometry, linking gravitation to string concepts.
Contribution
It presents a novel derivation of linearized general relativity emphasizing string-like structures emerging from gauge invariance and differential geometry.
Findings
String concepts naturally arise from gravitational considerations.
Gauge invariance is characterized by a second-order covariant derivative.
String-like constructions are linked to parallelism and transport in the geometric framework.
Abstract
It is shown that the string concept results naturally from considerations of gravitation. This paper describes a derivation of linearized general relativity based upon the hypotheses of special covariance and the existence of a gravitational potential. The gravitational field possesses gauge invariance given by a second-order covariant derivative defining an associated differential geometry. The concepts of parallelism and parallel transport lead to string-like constructions.
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Taxonomy
TopicsComputational Physics and Python Applications · Pulsars and Gravitational Waves Research · Scientific Research and Discoveries
