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.
arXiv comment11 pages, 6 figures. v2: Added references
References in corpus (48)
- f(R) Theories Of Gravity
- The Cosmology of Generalized Modified Gravity Models
- Metric-affine f(R) theories of gravity
- Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
- Wormholes supported by hybrid metric-Palatini gravity
- Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
- Higgs-Palatini Inflation and Unitarity
- Hybrid metric-Palatini gravity
- Cosmology of hybrid metric-Palatini f(X)-gravity
- Ghosts in metric-affine higher order curvature gravity
- The virial theorem and the dark matter problem in hybrid metric-Palatini gravity
- A New Class of Ghost and Tachyon Free Metric Affine Gravities
- Further Exact Cosmological Solutions to Higher-Order Gravity Theories
- f(R) theories of gravity in Palatini approach matched with observations
- Thermal imaging of dust hiding the black hole in the Active Galaxy NGC 1068
- The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
- Einstein static Universe in hybrid metric-Palatini gravity
- The dynamics of metric-affine gravity
- Galactic rotation curves in hybrid metric-Palatini gravity
- Universality of Einstein Equations for the Ricci Squared Lagrangians
- Dynamical Aspects of Generalized Palatini Theories of Gravity
- The minimal U(1)' extension of the MSSM
- Black Holes with Weyl Charge and Non-Riemannian Waves
- Ghosts in pure and hybrid formalisms of gravity theories: a unified analysis
- An exact solution of the metric-affine gauge theory with dilation, shear, and spin charges
- Non-Riemannian Gravity and the Einstein-Proca System
- The role of nonmetricity in metric-affine theories of gravity
- The dynamics of generalized Palatini Theories of Gravity
- An axially symmetric solution of metric-affine gravity
- On The Existence Of Anisotropic Cosmological Models In Higher-Order Theories Of Gravity
- Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
- Palatini Actions and Quantum Gravity Phenomenology
- Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
- Symmergent Gravity, Seesawic New Physics, and their Experimental Signatures
- Emergent Gravity as the Eraser of Anomalous Gauge Boson Masses, and QFT-GR Concord
- Vacuum Energy as the Origin of the Gravitational Constant
- Stress-Energy Connection and Cosmological Constant Problem
- Riemann-Eddington theory: Incorporating matter, degravitating the cosmological constant
- Geometric Dark Matter
- Updated constraints on and bosons decaying into bosonic and leptonic final states using the Run 2 ATLAS data
- Weak-field regime of the generalized hybrid metric-Palatini gravity
- Dirac equation in spacetimes with torsion and non-metricity
- Conformal Transformations in Metric-Affine Gravity and Ghosts
- A numeric solution for metric-affine gravity and Einstein's gravitational theory with Proca matter
- Einstein--Proca model: spherically symmetric solutions
- Uniqueness theorems for static black holes in metric-affine gravity
- Generalized Reissner-Nordström solution in Metric-Affine Gravity
- e^+e^-\to (h A)\to bbbb in Abelian Extended Supersymmetric Standard Model
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- Quasinormal modes and greybody factors of symmergent black hole
- 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