New metrics of a spherically symmetric gravitational field passing classical tests of general relativity

A general form of a metric preserving all symmetries of a spherically symmetric gravitational field and angular momentum in spherical coordinates is obtained. Such metric may have . The Newtonian limit uniquely defines g00(r). Geodesic motion under such metric exactly reproduces the precession of a...

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Bibliographic Details
Published in:Europhysics letters 2019-04, Vol.126 (2), p.29001
Main Authors: Friedman, Yaakov, Stav, Shmuel
Format: Article
Language:English
Subjects:
04.20.Fy
04.50.Kd
95.30.Sf
Angular momentum
Gravitational fields
Planetary orbits
Relativity
Spherical coordinates
Time lag
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Summary:A general form of a metric preserving all symmetries of a spherically symmetric gravitational field and angular momentum in spherical coordinates is obtained. Such metric may have . The Newtonian limit uniquely defines g00(r). Geodesic motion under such metric exactly reproduces the precession of a planetary orbit, periastron advance of a binary, deflection of light and Shapiro time delay if the determinant of the time-radial parts of the metric is -1. In this model, the total time for a radial round trip of light is as in the Schwarzschild model, but it allows for light rays to have different speeds propagating toward or from the massive object. The value of g01(r) could be obtained by measuring these speeds. If , the metric does not satisfy Einstein's field equations far from the source.
ISSN:0295-5075
1286-4854
1286-4854
DOI:10.1209/0295-5075/126/29001