Abstract
We derive the main classical gravitational tests for a recently found vacuum solution with spin and dilation charges in the framework of Metric-Affine gauge theory of gravity. Using the results of the perihelion precession of the star S2 by the GRAVITY collaboration and the gravitational redshift of Sirius B white dwarf we constrain the corrections provided by the torsion and nonmetricity fields for these effects.
Highlights
Since its inceptions, General Relativity (GR) has been established as the most accurate and successfully tested theory of gravity
In order to avoid cross-interactions from binary systems with multiple spinning sources and given the fact that the current measurements for the masses and gravitational redshifts of isolated neutron stars do not provide independent quantities [29], we focus on the Sirius B white dwarf, whose Doppler shift velocity v = c z associated with the gravitational redshift has been measured by Balmer line techniques, finding [30,31]
In the geometric scheme of Metric-Affine Gauge theory of gravity (MAG), an energy– momentum tensor of matter arises as source of curvature, and a hypermomentum density tensor which operates as source of torsion and nonmetricity
Summary
General Relativity (GR) has been established as the most accurate and successfully tested theory of gravity. We consider recent observations of the perihelion shift of the star S2 around Sagittarius A* (Sgr A*) and the gravitational redshift of Sirius B to constrain the dynamical effects of torsion and nonmetricity under this approach. For this task, we organise this paper as follows. 2, we briefly present the foundations of metric-affine geometry and revisit the recent exact solution with independent dynamical torsion and nonmetricity fields found in [10] This solution constitutes an isolated gravitational system characterised by a metric tensor with spin and dilation charges and allows us to study the phenomenological contributions of both charges in a unified way under the aforementioned approach. Latin and Greek indices run from 0 to 3, and refer to anholonomic and coordinate basis, respectively
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