Perturbative dynamics and relativistic effects of a dyonic Kalb-Ramond black hole
Abstract
We investigate perturbative dynamics, tidal effects, and relativistic frequency shifts in a dyonic Kalb-Ramond black hole generated by a Lorentz-violating antisymmetric tensor background. The geometry is controlled by the mass M, the electric charge Q, the magnetic charge p, and the Lorentz-violating parameter ℓ, with the dyonic sector entering through the effective combination Pℓ2=Q2/(1−ℓ)2+p2/(1−2ℓ). First, we analyze the gravitational Doppler effect for radial signal exchange between freely falling and static observers, showing how the dyonic charges weaken the redshift by shifting the frequency ratio toward unity. We then compute the radial and angular tidal forces in a freely falling frame and determine the characteristic radii at which the usual stretching and compression patterns are reversed. The gravitational time delay is also evaluated for null trajectories, showing that the electric and magnetic sectors reduce the delay relative to the reference configuration. In the perturbative sector, we study massless scalar, vector, and spinor test fields together with an effective axial metric model, computing sixth-order WKB spectra and independently checking selected modes using the asymptotic iteration method. At fixed mass and charges, increasing the Lorentz-violating parameter raises the tabulated oscillation frequencies and damping rates in the original time coordinate; their interpretation accounts for time normalization and changes in effective parameters. The independent comparisons support the tested higher-multipole fundamental modes. Time-domain evolutions exhibit damped ringdown followed by power-law tails, whose exponents are estimated through fits incorporating finite time corrections and numerical sensitivity checks.
Related
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- Probing Nonlinear Logarithmic Kalb-Ramond Black Holes: Particle Dynamics, Epicyclic Oscillations and Thermodynamic Signatures
BibTeX
@misc{filho2026perturbative,
title = {{Perturbative dynamics and relativistic effects of a dyonic Kalb-Ramond black hole}},
author = {A. A. Araújo Filho},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2605.28580},
eprint = {2605.28580},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.28580},
}
RIS
TY - UNPB
TI - Perturbative dynamics and relativistic effects of a dyonic Kalb-Ramond black hole
AU - A. A. Araújo Filho
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2605.28580
UR - https://arxiv.org/abs/2605.28580
AB - We investigate perturbative dynamics, tidal effects, and relativistic frequency shifts in a dyonic Kalb-Ramond black hole generated by a Lorentz-violating antisymmetric tensor background. The geometry is controlled by the mass M, the electric charge Q, the magnetic charge p, and the Lorentz-violating parameter ℓ, with the dyonic sector entering through the effective combination P_ℓ^2=Q^2/(1−ℓ)^2+p^2/(1−2ℓ). First, we analyze the gravitational Doppler effect for radial signal exchange between freely falling and static observers, showing how the dyonic charges weaken the redshift by shifting the frequency ratio toward unity. We then compute the radial and angular tidal forces in a freely falling frame and determine the characteristic radii at which the usual stretching and compression patterns are reversed. The gravitational time delay is also evaluated for null trajectories, showing that the electric and magnetic sectors reduce the delay relative to the reference configuration. In the perturbative sector, we study massless scalar, vector, and spinor test fields together with an effective axial metric model, computing sixth-order WKB spectra and independently checking selected modes using the asymptotic iteration method. At fixed mass and charges, increasing the Lorentz-violating parameter raises the tabulated oscillation frequencies and damping rates in the original time coordinate; their interpretation accounts for time normalization and changes in effective parameters. The independent comparisons support the tested higher-multipole fundamental modes. Time-domain evolutions exhibit damped ringdown followed by power-law tails, whose exponents are estimated through fits incorporating finite time corrections and numerical sensitivity checks.
ER -