E. L. B. Junior, J. T. S. S. Junior, F. S. N. Lobo, M. E. Rodrigues, L. F. D. da Silva, H. A. Vieira
Abstract
The framework of General Relativity (GR) has recently been expanded through the introduction of Cotton Gravity (CG), a theoretical extension proposed by J. Harada. This modified approach integrates the Cotton tensor into the gravitational field equations, naturally encompassing all conventional GR solutions while allowing the cosmological constant to emerge as an integration constant. In this study, we delve into the implications of CG when coupled with nonlinear electrodynamics (NLED), constructing and analyzing three distinct static, spherically symmetric configurations. Our investigation centers on the horizon structure, metric characteristics, and the underlying NLED Lagrangian density of each model. We also confront the theoretical predictions with observational data by comparing the calculated shadow radii of these solutions to constraints imposed by the Event Horizon Telescope's (EHT) measurements of Sgr A*. The results reveal an extensive spectrum of spacetime geometries, ranging from multi-horizon structures to naked singularities. Furthermore, the agreement between the predicted shadow sizes and EHT observations reinforces the viability of these models in describing the astrophysical image of Sgr A* within certain parameter bounds.
Keywords
Black hole solutions / Modified gravity / Cotton Gravity / Nonlinear electrodynamics / General Relativity and Quantum Cosmology / Cosmology and Nongalactic Astrophysics / High Energy Physics - Theory
Physics of the Dark Universe
Volume 49, Number 102028, Page 12
2025 September
