Geometric Proca with Matter in Metric-Palatini Gravity
arXiv:2211.00991 · doi:10.1140/epjc/s10052-022-10986-7
Abstract
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.
11 pages, 6 figures. v2: Added references
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Cited by in corpus (10)
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- Probing Geometric Proca in Metric-Palatini Gravity with Black Hole Shadow and Photon Motion
- Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
- Constraints on Metric-Palatini Gravity from QPO Data
- Gauge and Poincare properties of the UV cutoff and UV completion in quantum field theory
- Action principle of Galilean relativistic Proca theory
- Primordial Gravitational Waves in Generalized Palatini Gravity
- Spinning Particles around Einstein-Geometric Proca AdS Compact Objects
- Inflation in Symmergent Metric-Palatini Gravity
- Thermodynamics of Einstein-Geometric Proca AdS compact objects