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Gordon metric revisited

2012/11/21 by M. Novello, Eduardo Bittencourt, E. Bittencourt · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Artificial intelligence #Class (philosophy) #Classical mechanics #Computer science #Engineering #Epistemology #Experimental and Theoretical Physics Studies #Geodesic #Mathematical analysis #Mathematics #Metric (unit) #Motion (physics) #Philosophy #Physics #Property (philosophy) #Pure mathematics #Quantum Electrodynamics and Casimir Effect #gr-qc

paper · pdf · doi:10.1103/physrevd.86.124024

Accepted for Physical Review D

arxiv created 2012/11/21 · openalex publication_date 2012/12/07 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the Gordon metric belongs to a larger class of geometries, which are responsible to describe the paths of accelerated bodies in moving dielectrics as geodesics in a metric \stackrel^q_\ensuremathμ\ensuremathν different from the background one. This map depends only on the background metric and on the motion of the bodies under consideration. As a consequence, this method describes a more general property that concerns the elimination of any kind of force acting on bodies by a suitable change of the substratum metric.

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