Geometric Proca with matter in metric-Palatini gravity

Demir, Durmuş Ali and Puliçe, Beyhan (2022) Geometric Proca with matter in metric-Palatini gravity. European Physical Journal C, 82 (11). ISSN 1434-6044 (Print) 1434-6052 (Online)

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In the present work, we study linear, torsion-free metric-Palatini gravity, extended by the quadratics of the antisymmetric part of the Ricci tensor and extended also by the presence of the affine connection in the matter sector. We show that this extended metric-Palatini gravity reduces dynamically to the general relativity plus a geometrical massive vector field corresponding to non-metricity of the connection. We also show that this geometric Proca field couples to fermions universally. We derive static, spherically symmetric field equations of this Einstein-geometric Proca theory. We study possibility of black hole solutions by taking into account the presence of a dust distribution that couples to the geometric Proca. Our analytical and numerical analyses show that the presence of this dust worsens the possibility of horizon formation. We briefly discuss possible roles of this universally-coupled geometric Proca in the astrophysical and collider processes.
Item Type: Article
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Durmuş Ali Demir
Date Deposited: 09 Feb 2023 15:34
Last Modified: 09 Feb 2023 15:34

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