Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications

Abstract

We explore the thermodynamic and optical properties of Einstein-Dyonic-ModMax (EDM) black holes (BHs), incorporating quantum gravity corrections and plasma effects. The ModMax theory promotes the classical Maxwell theory to a non-linear electrodynamics with a larger symmetry structure (electromagnetic duality plus conformal invariance), and provides dyonic BH solutions characterized by both electric and magnetic charges modulated by the nonlinearity parameter $\gamma$. Using the Hamilton-Jacobi tunneling formalism, we derive the Hawking radiation spectrum and demonstrate how the Generalized Uncertainty Principle (GUP) modifies the thermal emission, potentially leading to stable remnants. Our analysis of gravitational lensing employs the Gauss-Bonnet theorem to compute light deflection angles in both vacuum and plasma environments, revealing strong dependencies on the ModMax parameter and plasma density. We extend this to axion-plasmon environments, uncovering frequency-dependent modifications that could serve as dark matter signatures. The photon motion analysis in plasma media shows how the exponential damping term $e^{-\gamma }$ affects electromagnetic backreaction on spacetime geometry. We compute quantum-corrected thermodynamic quantities, including internal energy, Helmholtz free energy, pressure, and heat capacity, using exponentially modified entropy models. The heat capacity exhibits second-order phase transitions with critical points shifting as functions of $\gamma$, indicating rich thermodynamic phase structures. The energy condition analysis shows that classical ModMax electrodynamics satisfies the null and weak energy conditions, while the observed near-horizon violations arise only after incorporating quantum-corrected entropy effects.

24 pages,11 figures, and 3 tables, v2. Published version

References in corpus (43)

• Calculating black hole shadows: Review of analytical studies
• Discreteness of Space from the Generalized Uncertainty Principle
• Regular black holes with a nonlinear electrodynamics source
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• A non-linear duality-invariant conformal extension of Maxwell's equations
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Frequency-dependent effects of gravitational lensing within plasma
• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Introductory Notes on Non-linear Electrodynamics and its Applications
• Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow
• Black hole thermodynamics with generalized uncertainty principle
• Nonlinear electrodynamics with the maximum allowable symmetries
• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Black holes and gravitational waves sourced by non-linear duality rotation-invariant conformal electromagnetic matter
• Axion-plasmon or magnetized plasma effect on an observable shadow and gravitational lensing of a Schwarzschild black hole
• Exponential corrections to black hole entropy
• Two families of astrophysical diverging lens models
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Accelerated Black Holes beyond Maxwell's Electrodynamics
• Topical Review: Greybody Factors and Quasinormal Modes for Black Holes in Various Theories -- Fingerprints of Invisibles
• Constraints on singularity resolution by nonlinear electrodynamics
• Magnetic black holes with generalized ModMax model of nonlinear electrodynamics
• Particle motion around generic black holes coupled to non-linear electrodynamics
• Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Quantum Gravitational Corrections to the Entropy of a Reissner-Nordström Black Hole
• An Effective Field Theory of Quantum Mechanical Black Hole Horizons
• Quantum gravity correction to Hawking radiation of the 2+1 dimensional wormhole
• Hamiltonian analysis of ModMax nonlinear electrodynamics in the first order formalism
• Light Propagation in the vicinity of the ModMax black hole
• Rotating Black Hole in Kalb-Ramond Gravity: Constraining Parameters by Comparison with EHT Observations of Sgr A* and M87*
• Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields
• Exact multiblack hole spacetimes in Einstein-ModMax theory
• Nonlinearly charging the conformally dressed black holes preserving duality and conformal invariance
• Dyonic and magnetized black holes based on nonlinear electrodynamics
• Einstein-Maxwell fields as solutions of higher-order theories
• GUP corrected Casimir Wormholes with Electric Charge in $f(R,L_m)$ Gravity
• Non-perturbative correction to thermodynamics of conformally dressed 3D black hole
• Black hole solutions in theory of ModMax-dRGT-like massive gravity
• Scattering and absorption of massless scalar waves by a ModMax black hole
• Linear-Quadratic GUP and Thermodynamic Dimensional Reduction