A 5-Dimensional Spherical Symmetric Solution in Einstein-Yang-Mills Theory With Gauss-Bonnet Term

TL;DR

This paper numerically investigates a 5D spherically symmetric Einstein-Yang-Mills-Gauss-Bonnet solution, revealing how the Gauss-Bonnet term affects the solution's properties and the influence of cosmological constants on singularities and horizons.

Contribution

It provides a novel numerical analysis of 5D Einstein-Yang-Mills-Gauss-Bonnet solutions, highlighting the impact of the Gauss-Bonnet term and cosmological constants on solution behavior.

Findings

Gauss-Bonnet term increases the number of YM field nodes.

Negative cosmological constant leads to no horizon and no singularity.

Positive cosmological constant results in singular behavior.

Abstract

We present a numerical solution on a 5-dimensional spherically symmetric space time, in Einstein-Yang-Mills-Gauss-Bonnet theory using a two point boundary value routine. It turns out that the Gauss-Bonnet contribution has a profound influence on the behaviour of the particle-like solution: it increases the number of nodes of the YM field. When a negative cosmological constant in incorporated in the model, it turns out that there is no horizon and no singular behaviour of the model. For positive cosmological constant the model has singular behaviour.