Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 2, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2023/02/018
Keywords
astrophysical black holes; Exact solutions; black holes and black hole thermodynamics in GR and beyond; modified gravity; stars
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In the framework of Metric-Affine Gravity, the correspondence between the Einstein tensor and the energy-momentum tensor of matter is extended towards a post-Riemannian description in terms of torsion and nonmetricity fields. The dynamical role of the traceless part of the nonmetricity tensor and its connection with shears are investigated, resulting in a new black hole solution with shear charges. The extension in the presence of dynamical torsion and Weyl vector leads to the broadest family of black hole solutions with spin, dilation, and shear charges in Metric-Affine Gravity so far.
In the framework of Metric-Affine Gravity, the existing correspondence between the Einstein tensor and the energy-momentum tensor of matter provided by General Relativity is extended towards a post-Riemannian description in terms of the torsion and nonmetricity fields, which are sourced by the spin, dilation and shear currents of matter. In this work, we focus on the dynamical role of the traceless part of the nonmetricity tensor and its intrinsic connection with shears, defining a model which encloses a new black hole solution endowed with shear charges. We show that the extension in the presence of dynamical torsion and Weyl vector leads to the broadest family of static and spherically symmetric black hole solutions with spin, dilation and shear charges in Metric-Affine Gravity so far.
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