CUDA Assisted Swampland and Black Hole Thermodynamics

TL;DR

This paper uses CUDA-based numerical methods to explore black hole solutions within the swampland program, analyzing scalar potentials, extremal limits, and stability conditions in a string theory-inspired context.

Contribution

It introduces CUDA-accelerated techniques to study charged black holes in a scalar potential, revealing new relationships and stability criteria relevant to the swampland conjectures.

Findings

Derived relationships between charge and mass of black holes.

Identified conditions for black hole instability and disintegration.

Explored scalar field effects on black hole thermodynamics.

Abstract

Motivated by string theory activities, we investigate the swampland program in the black hole context via CUDA numerical computations. Precisely, we study charged black hole solutions submerged in a hypergeometric inflationary potential extracted from Gauss-Bonnet scalar couplings to the Einstein-Maxwell-Hilbert action. Exploiting CUDA enabled parallel programming techniques, we examine the scalar potential behaviors permitting to derive the physically relevant roots of the black hole metric function. Equipped with more powerful CUDA techniques, we explore the effects of the parametric quantities on such roots supporting a swampland investigation. Accordingly, we establish a relationship between the charge $Q$ and the mass $M$ of a charged black hole allowing to approach the extremal limit and the cosmic horizon behaviors. Furthermore, we highlight the implications of the scalar field related to swampland conjectures including the moduli distance. Employing certain developed CUDA techniques to extract criticality conditions via black hole thermodynamics, we establish a relationship between the scalar moduli and the charge $Q$, enabling to show at what stage black holes can become unstable disintegrating into light states associated with the ratio $\frac{Q}{M}>2\sqrt{\pi}$.