Topology of Born-Infeld AdS black holes in 4D novel Einstein-Gauss-Bonnet gravity
Pavan Kumar Yerra, Chandrasekhar Bhamidipati

TL;DR
This paper investigates the topological classification of critical points in 4D Einstein-Gauss-Bonnet black holes coupled with Born-Infeld theory, revealing how Born-Infeld corrections influence topological charges.
Contribution
It provides a detailed topological analysis of black holes in 4D Einstein-Gauss-Bonnet gravity with Born-Infeld corrections, highlighting the effects on critical point charges.
Findings
Born-Infeld corrections alter the topological charge of critical points.
Gauss-Bonnet corrections do not affect the topological charge.
The total topological charge remains unchanged with combined corrections.
Abstract
The topological classification of critical points of black holes in 4D Einstein-Gauss-Bonnet gravity coupled to Born-Infeld theory is investigated. Considered independently, Born-infeld corrections to the Einstein action alter the topological charge of critical points of the charged AdS black hole system, whereas the Gauss-Bonnet corrections do not. For the combined system though, the total topological charge of the Einstein-Gauss-Bonnet theory is unaltered in the presence of Born-Infeld coupling.
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