Gravitational fingerprints of a black hole solution in Palatini Kalb-Ramond gravity
Abstract
We investigate particle motion, optical observables, and linear wave propagation around a static black hole in Palatini Kalb Ramond gravity with a vanishing cosmological constant. The analysis distinguishes the conserved mass M from the orbital mass M̅=M/ρ and isolates the radial deformation σ2=1−q/2, where q=ℓ2/(1−ℓ1). At fixed M̅, the photon sphere, critical impact parameter, and innermost stable circular orbit retain their Schwarzschild values. Radial frequency ratios also preserve their Schwarzschild profiles for the same areal release and particle radii, while proper distances, infall times, and accumulated orbital angles depend on σ. For radial fall, the tidal eigenvalues acquire a factor σ−2, and the instability exponent of the photon orbit scales as σ−1. In addition, we examine light deflection in the weak and strong regimes with an explicit account of the conical asymptotics. The shadow comparison with Sgr A* and M87* exhibits a coupling degeneracy when the orbital mass and areal distance are set. Scalar, electromagnetic, and massless Dirac perturbations probe the physical metric, whereas a homogeneous axial gravitational sector with δBμν=0 admits an exact Schwarzschild spectral map. In this sector, both oscillation and attenuation rates scale as σ−1 at fixed M̅. Third order WKB estimates agree with frequencies extracted from time evolution to within 0.7% for the reported fundamental modes.
Related
- An exact rotating black hole solution in Palatini Kalb-Ramond gravity
- Exact black hole solutions in Palatini Kalb-Ramond gravity
- Dyonic black holes in Lorentz-violating gravity with a background Kalb-Ramond field: Quasiperiodic oscillations and radiative properties
- Einstein-Cartan and Palatini-Cartan Gravity from Graded Poisson Geometry
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BibTeX
@misc{pereira2026gravitational,
title = {{Gravitational fingerprints of a black hole solution in Palatini Kalb-Ramond gravity}},
author = {Carlos F. S. Pereira and Araújo Filho and Marcos V. de S. Silva and N. Heidari},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26692},
eprint = {2610.26692},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26692},
}
RIS
TY - UNPB
TI - Gravitational fingerprints of a black hole solution in Palatini Kalb-Ramond gravity
AU - Carlos F. S. Pereira
AU - Araújo Filho
AU - Marcos V. de S. Silva
AU - N. Heidari
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26692
UR - https://arxiv.org/abs/2610.26692
AB - We investigate particle motion, optical observables, and linear wave propagation around a static black hole in Palatini Kalb Ramond gravity with a vanishing cosmological constant. The analysis distinguishes the conserved mass M from the orbital mass M̅=M/ρ and isolates the radial deformation σ^2=1−q/2, where q=ℓ_2/(1−ℓ_1). At fixed M̅, the photon sphere, critical impact parameter, and innermost stable circular orbit retain their Schwarzschild values. Radial frequency ratios also preserve their Schwarzschild profiles for the same areal release and particle radii, while proper distances, infall times, and accumulated orbital angles depend on σ. For radial fall, the tidal eigenvalues acquire a factor σ^−2, and the instability exponent of the photon orbit scales as σ^−1. In addition, we examine light deflection in the weak and strong regimes with an explicit account of the conical asymptotics. The shadow comparison with Sgr A* and M87* exhibits a coupling degeneracy when the orbital mass and areal distance are set. Scalar, electromagnetic, and massless Dirac perturbations probe the physical metric, whereas a homogeneous axial gravitational sector with δB_μν=0 admits an exact Schwarzschild spectral map. In this sector, both oscillation and attenuation rates scale as σ^−1 at fixed M̅. Third order WKB estimates agree with frequencies extracted from time evolution to within 0.7% for the reported fundamental modes.
ER -