On the meaning of Painlevé–Gullstrand synchronization

Following on from two recent papers, here we examine the relationship between Newtonian gravitation and general relativity in more depth. This allows us to define a scalar potential which is just the proper time of the vector potential when the latter is interpreted as the geodesic velocity field. T...

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Bibliographic Details
Published in:General relativity and gravitation 2015-12, Vol.47 (12), Article 152
Main Authors: Jaén, Xavier, Molina, Alfred
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Flat synchronization
Física
Generalized Newtonian theory
Gravitació
Gravitation
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativitat (Física)
Relativity (Physics)
Relativity Theory
Research Article
Rigid motion symmetry
Theoretical
Àrees temàtiques de la UPC
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Summary:Following on from two recent papers, here we examine the relationship between Newtonian gravitation and general relativity in more depth. This allows us to define a scalar potential which is just the proper time of the vector potential when the latter is interpreted as the geodesic velocity field. The results are closely related to spacetimes that admit Painlevé–Gullstrand synchronization.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-015-1994-1