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World-line observables and clocks in General Relativity

Hossein Farajollahi
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Abstract

A proposal for the issue of time and observables in any parameterized theory such as general relativity is addressed. Introduction of a gauge potential 3-form A in the theory of relativity enables us to define a gauge-invariant quantity which can be used by observers as a clock to measure the passage of time. This dynamical variable increases monotonically and continuously along a world line. Then we define world line observables to be any covariantly defined quantity obtained from the field configurations on any such causal past with dynamical time T.

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Hossein Farajollahi. 2005-11-20. World-line observables and clocks in General Relativity. https://arxiv.org/abs/gr-qc/0406024

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