Wormhole Stability of Charged Black Holes Under the Gravity of f(R)

TL;DR

This paper explores the stability of wormholes in charged black holes within f(R) gravity, linking superradiation phenomena to thermodynamic stability through algebraic and geometric analysis.

Contribution

It introduces a novel approach connecting superradiation, entropy algebra, and thermodynamic geometry to analyze wormhole stability in f(R) gravity.

Findings

Wormhole entropy algebraic expression derived

Thermodynamic geometric analysis conducted

Stability conditions for wormholes identified

Abstract

In this paper, we propose that since Hawking radiation may be a kind of superradiation, the action of superradiation with preset bounds satisfies some higher-dimensional action structure, e.g., bosons in the preset springs of Kerr black hole. The superradiation meets the algebraic system of bosons on Kerr-Schild black holes. We think that the superradiation of bounded fermions to Kerr structure black holes benefits the mapping structure of wormholes. By analogy, we find the entropy algebraic expression of the wormhole in the charged black hole under f(R) gravity and then conduct thermodynamic geometric analysis to find out the stability condition of the wormhole.