Constraints on Kalb-Ramond Gravity from EHT Observations of Rotating Black Holes in Traceless Conformal Electrodynamics

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Main Authors: Sekhmani, Yassine, Boshkayev, Kuantay, Azreg-Aïnou, Mustapha, Maurya, Sunil K., Altanji, Mohamed, Urazalina, Ainur
Format: Preprint
Published: 2025
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author Sekhmani, Yassine
Boshkayev, Kuantay
Azreg-Aïnou, Mustapha
Maurya, Sunil K.
Altanji, Mohamed
Urazalina, Ainur
author_facet Sekhmani, Yassine
Boshkayev, Kuantay
Azreg-Aïnou, Mustapha
Maurya, Sunil K.
Altanji, Mohamed
Urazalina, Ainur
contents We present a phenomenological study of rotating, charged black holes in Einstein gravity coupled to a traceless (conformal) matter sector formed by ModMax nonlinear electrodynamics and a Kalb-Ramond two-form that spontaneously breaks local Lorentz symmetry. Starting from a family of obtained static, Schwarzschild-like solutions with a traceless Kalb-Ramond sector, we construct the stationary, axisymmetric counterpart via the Newman-Janis algorithm. The resulting Newman-Kerr-like metric depends on four intrinsic parameters: the electric charge $Q$, the ModMax nonlinearity $γ$, the Lorentz-violation amplitude $\ell$ and the spin $a$. We analyze horizon structure and separatrices in parameter space, derive the null geodesic equations and obtain the photon capture boundary that defines the black hole shadow. Using ray-tracing, we compute shadow silhouettes and a suite of shadow observables (areal radius, characteristic radius $R_s$, distortion $δ$, oblateness $D$) and show how $γ$ and $\ell$ produce qualitatively distinct effects: $γ$ acts as a screening factor for the electromagnetic imprint, while $\ell$ introduces angular-dependent metric rescalings that deform shadow shape beyond simple size rescaling. We confront model predictions with EHT angular-radius measurements for M87$^*$ and Sgr A$^*$ and derive conservative bounds on the combinations of $(Q,γ,\ell,a)$. Our results identify an effective charge combination $Q_{\rm eff}\simeq e^{-γ}Q^{2}/(1-\ell)^{2}$ and demonstrate that modest $Q_{\rm eff}$ remains compatible with current EHT images while large $Q_{\rm eff}$ is progressively disfavored.
format Preprint
id arxiv_https___arxiv_org_abs_2509_16782
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Constraints on Kalb-Ramond Gravity from EHT Observations of Rotating Black Holes in Traceless Conformal Electrodynamics
Sekhmani, Yassine
Boshkayev, Kuantay
Azreg-Aïnou, Mustapha
Maurya, Sunil K.
Altanji, Mohamed
Urazalina, Ainur
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
We present a phenomenological study of rotating, charged black holes in Einstein gravity coupled to a traceless (conformal) matter sector formed by ModMax nonlinear electrodynamics and a Kalb-Ramond two-form that spontaneously breaks local Lorentz symmetry. Starting from a family of obtained static, Schwarzschild-like solutions with a traceless Kalb-Ramond sector, we construct the stationary, axisymmetric counterpart via the Newman-Janis algorithm. The resulting Newman-Kerr-like metric depends on four intrinsic parameters: the electric charge $Q$, the ModMax nonlinearity $γ$, the Lorentz-violation amplitude $\ell$ and the spin $a$. We analyze horizon structure and separatrices in parameter space, derive the null geodesic equations and obtain the photon capture boundary that defines the black hole shadow. Using ray-tracing, we compute shadow silhouettes and a suite of shadow observables (areal radius, characteristic radius $R_s$, distortion $δ$, oblateness $D$) and show how $γ$ and $\ell$ produce qualitatively distinct effects: $γ$ acts as a screening factor for the electromagnetic imprint, while $\ell$ introduces angular-dependent metric rescalings that deform shadow shape beyond simple size rescaling. We confront model predictions with EHT angular-radius measurements for M87$^*$ and Sgr A$^*$ and derive conservative bounds on the combinations of $(Q,γ,\ell,a)$. Our results identify an effective charge combination $Q_{\rm eff}\simeq e^{-γ}Q^{2}/(1-\ell)^{2}$ and demonstrate that modest $Q_{\rm eff}$ remains compatible with current EHT images while large $Q_{\rm eff}$ is progressively disfavored.
title Constraints on Kalb-Ramond Gravity from EHT Observations of Rotating Black Holes in Traceless Conformal Electrodynamics
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2509.16782