Magnetized hairy black holes of dimensionally continued gravity coupled to double-logarithmic electrodynamics

TL;DR

This paper introduces new magnetized hairy black hole solutions in dimensionally continued gravity coupled with a double-logarithmic nonlinear electrodynamics, analyzing their thermodynamics and stability.

Contribution

It presents novel magnetized hairy black hole solutions in a complex gravity-electrodynamics setup, including thermodynamic properties and stability analysis.

Findings

Derived exact expressions for mass, entropy, temperature, and heat capacity.

Confirmed local thermodynamic stability of the black holes.

Verified the modified Smarr's formula and the first law in this context.

Abstract

A recently proposed model for nonlinear electrodynamics has been minimally coupled to dimensionally continued gravity and the topological black holes in the presence of conformal scalar field were studied. In this setup, the new magnetized hairy black hole solution has been found and its thermodynamic properties have also been analyzed. The exact expressions for mass, entropy, Hawking temperature and heat capacity are derived and local thermodynamic stability for the resulting black holes has been checked. In addition to this, the modified Smarr's formula is constructed and the generalized first law has also been verified. Finally, the hairy magnetized black holes in general Lovelock-scalar gravity have also been studied.