A bstract In this paper, we investigate, in the framework of the topological approach to black
hole thermodynamics, using the generalized off-shell Helmholtz free energy, the topological …

In a recent study, Wei et al.(2024)[96] proposed a universal classification scheme that
interprets black hole solutions, including the four-dimensional Schwarzschild, Reissner …

In this work, we propose a common vector field to study the thermodynamic topology of the
Davies type and Hawking-Page phase transitions. Existing literature has shown that …

In this paper, we investigate the thermodynamic topology of four and five-dimensional
Hořava-Lifshitz (HL) black holes within Hořava gravity. To analyze their thermodynamic …

The topology of black hole thermodynamics is a fascinating area of study that explores the
connections between thermodynamic properties and topological features of black holes …

In this paper, we extend our previous work [D. Wu, Phys. Rev. D 108, 084041 (2023)] to
more general cases by including a rotation parameter. We investigate the topological …

The aim of this paper is to explore the thermodynamic topology of topological charged
dilatonic black holes. To achieve this, our study will begin by examining the characteristics of …

We investigate, in the framework of the topological approach to black hole thermodynamics,
using the generalized off-shell Helmholtz free energy, the topological numbers of the static …

Non-commutative black holes (NCBH), due to the non-commutativity of spacetime
coordinates, lead to a modification of the spacetime metric. By replacing the Dirac delta …

We derive novel black hole solutions in a modified gravity theory, namely the Hu–Sawicki
model of f (R) gravity. After obtaining the black hole solution, we study the horizon radius of …