Thermodynamic and Radiative Properties of Euler-Heisenberg AdS Black Holes Surrounded by Quintessence and Dark Matter with a Cloud of Strings

TL;DR

This paper studies the thermodynamic, radiative, and optical properties of Euler-Heisenberg AdS black holes influenced by quintessence, dark matter, and a string cloud, revealing how these factors alter black hole behavior.

Contribution

It introduces a comprehensive analysis of how surrounding matter fields and quantum corrections modify black hole thermodynamics and radiative features.

Findings

Matter fields significantly affect the temperature and stability of black holes.

The critical point location is shifted by the Euler-Heisenberg coupling and surrounding matter.

Hawking radiation sparsity and black hole shadow properties are quantitatively analyzed.

Abstract

We investigate the thermodynamics, criticality, and selected radiative and optical properties of an Euler-Heisenberg AdS black hole surrounded by quintessence, perfect fluid dark matter, and a cloud of strings. Within the extended phase-space formalism, we derive the thermodynamic quantities, verify the modified first law and Smarr relation, and analyze the corresponding equation of state and critical behavior. We show that the Euler--Heisenberg coupling and the surrounding matter fields substantially modify the temperature profile, the stability structure, and the location of the critical point. We also examine the sparsity of Hawking radiation, together with the photon sphere, black hole shadow, and the associated geometric-optics emission rate.