The Minkowski metric in non-inertial observer radar coordinates

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dc.creatorMinguzzi, E.
dc.date2004-12-03
dc.date2005-12-20
dc.date.accessioned2026-07-07T06:40:29Z
dc.date.available2026-07-07T06:40:29Z
dc.descriptionWe give a closed expression for the Minkowski (1+1)-dimensional metric in the radar coordinates of an arbitrary non-inertial observer O in terms of O's proper acceleration. Knowledge of the metric allows the non-inertial observer to perform experiments in spacetime without making reference to inertial frames. To clarify the relation between inertial and non-inertial observers the coordinate transformation between radar and inertial coordinates, also is given. We show that every conformally flat coordinate system can be regarded as the radar coordinate system of a suitable observer for a suitable parametrization of the observer worldline. Therefore, the coordinate transformation between arbitrarily moving observers is a conformal transformation and conformally invariant (1+1)-dimensional theories lead to the same physics for all observers, independently of their relative motion.
dc.descriptionRevtex4, 6 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/physics/0412024
dc.identifierhttp://arxiv.org/abs/physics/0412024
dc.identifierAm.J.Phys. 73 (2005) 1117-1121
dc.identifierdoi:10.1119/1.2060716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101407
dc.subjectClassical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectGeneral Physics
dc.titleThe Minkowski metric in non-inertial observer radar coordinates
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