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Einsteins hole dilemma and gauge freedom

2012/12/23 by S. M. Kozyrev, Sergey M. Kozyrev, Kozyrev, Sergey M. +3
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1212.5814

15 pges. arXiv admin note: text overlap with arXiv:1207.2934

arxiv created 2012/12/23 · openalex publication_date 2012/12/23 · arxiv updated 2012/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The issue of the physical equivalence between the different coordinate system in Einstein theory is revised. Gauge fixing influences results of measurements and physics are different in two different coordinate system. Spacetime metric generated by static spherically symmetric distribution of matter can be matched with wide family of vacuum solution and the exterior spacetime geometry could not be deduced directly from the interior perfect fluid solution, without reference to a gauge fixing or viceversa. The property of sollutions in general relativity is indeed an observer dependent concept.

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