Local observers in stationary axisymmetric dust spacetimes
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908865632665600 |
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| author | Fontana, Matteo Cacciatori, Sergio Luigi Peron, Roberto |
| author_facet | Fontana, Matteo Cacciatori, Sergio Luigi Peron, Roberto |
| contents | In this work, we construct a locally inertial reference system adapted to a geodesic observer in stationary, axisymmetric dust solutions of the Einstein equations employed as effective models of a portion of a galactic disc. To ensure a consistent spatial orientation among different local observers, we also introduce the radially locked reference system, in which one spatial axis is aligned with the radial direction defined by null geodesics passing through the galactic center. Within this framework, we analyze how the dust configuration is described by such observers by computing the frequency shift of photons exchanged between pairs of dust geodesics. Building on this construction, we outline a procedure to reconstruct spectroscopic and astrometric relative velocities with respect to locally inertial observers, providing a coherent foundation for the study of galactic kinematics in a fully general relativistic context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03924 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local observers in stationary axisymmetric dust spacetimes Fontana, Matteo Cacciatori, Sergio Luigi Peron, Roberto General Relativity and Quantum Cosmology In this work, we construct a locally inertial reference system adapted to a geodesic observer in stationary, axisymmetric dust solutions of the Einstein equations employed as effective models of a portion of a galactic disc. To ensure a consistent spatial orientation among different local observers, we also introduce the radially locked reference system, in which one spatial axis is aligned with the radial direction defined by null geodesics passing through the galactic center. Within this framework, we analyze how the dust configuration is described by such observers by computing the frequency shift of photons exchanged between pairs of dust geodesics. Building on this construction, we outline a procedure to reconstruct spectroscopic and astrometric relative velocities with respect to locally inertial observers, providing a coherent foundation for the study of galactic kinematics in a fully general relativistic context. |
| title | Local observers in stationary axisymmetric dust spacetimes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.03924 |