Volume 126, Number 2, April 2019
|Number of page(s)||6|
|Section||Geophysics, Astronomy and Astrophysics|
|Published online||29 May 2019|
New metrics of a spherically symmetric gravitational field passing classical tests of general relativity
Jerusalem College of Technology, Department of Physics, The Extended Relativity Research Center P.O.B. 16031 Jerusalem 91160, Israel
Received: 18 December 2018
Accepted: 23 April 2019
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.
PACS: 95.30.Sf – Relativity and gravitation / 04.20.Fy – Canonical formalism, Lagrangians, and variational principles / 04.50.Kd – Modified theories of gravity
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