Probing Geometric Proca in Metric-Palatini Gravity with Black Hole Shadow and Photon Motion

Abstract

Extended metric-Palatini gravity, quadratic in the antisymmetric part of the affine curvature, is known to lead to the general relativity plus a geometric Proca field. The geometric Proca, equivalent of the non-metricity vector in the torsion-free affine connection, qualifies to be a distinctive signature of the affine curvature. In the present work, we explore how shadow and photon motion near black holes can be used to probe the geometric Proca field. To this end, we derive static spherically symmetric field equations of this Einstein-geometric Proca theory, and show that it admits black hole solutions in asymptotically AdS background. We perform a detailed study of the optical properties and shadow of this black hole and contrast them with the observational data by considering black hole environments with and without plasma. As a useful astrophysical application, we discuss constraints on the Proca field parameters using the observed angular size of the shadow of supermassive black holes M87${}^{\ast }$ and Sgr A${}^{\ast }$ in both vacuum and plasma cases. Overall, we find that the geometric Proca can be probed via the black hole observations.

arXiv comment19 pages, 14 figures. To appear in European Physical Journal C

References in corpus (71)

• f(R) Theories Of Gravity
• Weak Gravitational Lensing
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Viewing the Shadow of the Black Hole at the Galactic Center
• Schwarzschild black hole lensing
• Gravitational lensing in the strong field limit
• Calculating black hole shadows: Review of analytical studies
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• Relativistic images of Schwarzschild black hole lensing
• Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant
• Influence of a plasma on the shadow of a spherically symmetric black hole
• Shadow of rotating regular black holes
• Apparent shape of super-spinning black holes
• Shadow of a rotating braneworld black hole
• Metric-affine f(R) theories of gravity
• Null geodesics and shadow of a rotating black hole in extended Chern-Simons modified gravity
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Shadow of five-dimensional rotating Myers-Perry black hole
• Wormholes supported by hybrid metric-Palatini gravity
• Black hole shadow in an asymptotically-flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes
• Shadow of a Kaluza-Klein rotating dilaton black hole
• Optical properties of black hole in the presence of plasma: shadow
• A coordinate-independent characterization of a black hole shadow
• Shadows of Einstein-dilaton-Gauss-Bonnet black holes
• Quasi-Equatorial Gravitational Lensing by Spinning Black Holes in the Strong Field Limit
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Constraining the spin and the deformation parameters from the black hole shadow
• Black hole shadow in an expanding universe with a cosmological constant
• Parameter estimation of hairy Kerr black holes from its shadow and constraints from M87*
• Shadow of Kerr-Taub-NUT black hole
• Light propagation in a plasma on Kerr spacetime: Separation of the Hamilton-Jacobi equation and calculation of the shadow
• Frequency-dependent effects of gravitational lensing within plasma
• Gravitational lensing by black holes in the $4D$ Einstein-Gauss-Bonnet gravity
• Higgs-Palatini Inflation and Unitarity
• Hybrid metric-Palatini gravity
• Analytic Kerr black hole lensing for equatorial observers in the strong deflection limit
• Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Rotating Black Hole Shadow in Perfect Fluid Dark Matter
• Strong field limit analysis of gravitational retro-lensing
• The virial theorem and the dark matter problem in hybrid metric-Palatini gravity
• Lensing and shadow of a black hole surrounded by a heavy accretion disk
• Energetics and optical properties of $6$-dimensional rotating black hole in pure Gauss-Bonnet gravity
• General Relativity and Weyl Geometry
• Horizon structure of rotating Einstein-Born-Infeld black holes and shadow
• Optical properties of Kerr-Newman spacetime in the presence of plasma
• Shadow and weak deflection angle of extended uncertainty principle black hole surrounded with dark matter
• The dynamics of metric-affine gravity
• Axion-plasmon or magnetized plasma effect on an observable shadow and gravitational lensing of a Schwarzschild black hole
• Fourth order Weyl gravity
• Shadow, quasinormal modes and quasiperiodic oscillations of rotating Kaluza-Klein black holes
• Shadow and quasinormal modes of the Kerr-Newman-Kiselev-Letelier black hole
• Black Holes with Weyl Charge and Non-Riemannian Waves
• Shadows and negative precession in non-Kerr spacetime
• Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity
• The role of nonmetricity in metric-affine theories of gravity
• The dynamics of generalized Palatini Theories of Gravity
• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
• An axially symmetric solution of metric-affine gravity
• Shadows of rotating Hayward-de Sitter black holes with astrometric observables
• Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
• Symmergent Gravity, Seesawic New Physics, and their Experimental Signatures
• Emergent Gravity as the Eraser of Anomalous Gauge Boson Masses, and QFT-GR Concord
• Geometric Dark Matter
• Geometric Proca with Matter in Metric-Palatini Gravity
• Naked shell singularities on the brane
• Conformal Transformations in Metric-Affine Gravity and Ghosts
• Singularities in static spherically symmetric configurations of General Relativity with strongly nonlinear scalar fields
• A numeric solution for metric-affine gravity and Einstein's gravitational theory with Proca matter
• Uniqueness theorems for static black holes in metric-affine gravity
• Generalized Reissner-Nordström solution in Metric-Affine Gravity

Cited by in corpus (9)

• Weak gravitational lensing and shadow of a GUP-modified Schwarzschild black hole in the presence of plasma
• Apparent and emergent dark matter around a Schwarzschild black hole
• Constraints on Metric-Palatini Gravity from QPO Data
• Optical Appearance and Shadow of Kalb-Ramond Black Hole: Effects of Plasma and Accretion Models
• Particle dynamics and optical appearance of charged spherically symmetric black holes in bumblebee gravity
• Primordial Gravitational Waves in Generalized Palatini Gravity
• Spinning Particles around Einstein-Geometric Proca AdS Compact Objects
• Onset of chaotic gravitational lensing in non-Kerr rotating black holes with quadrupole mass moment
• Thermodynamics of Einstein-Geometric Proca AdS compact objects