Collapsing spherical star in Scalar-Einstein-Gauss-Bonnet gravity with a quadratic coupling

TL;DR

This paper investigates the gravitational collapse of a scalar field in Scalar-Einstein-Gauss-Bonnet gravity with a quadratic coupling, exploring how initial conditions and non-linear dynamics influence the outcome.

Contribution

It introduces a novel analysis of scalar field collapse in Scalar-Einstein-Gauss-Bonnet gravity with polynomial coupling and a self-interaction potential, employing an invertible point transformation method.

Findings

Collapse outcomes depend on coupling strength and potential choice

Non-linear equations are effectively managed using anharmonic oscillator transformations

The study provides insights into scalar field dynamics in modified gravity theories

Abstract

We study the evolution of a self interacting scalar field in Einstein-Gauss-Bonnet theory in four dimension where the scalar field couples non minimally with the Gauss-Bonnet term. Considering a polynomial coupling of the scalar field with the Gauss-Bonnet term, a self-interaction potential and an additional perfect fluid distribution alongwith the scalar field, we investigate different possibilities regarding the outcome of the collapsing scalar field. The strength of the coupling and choice of the self-interaction potential serves as the pivotal initial conditions of the models presented. The high degree of non-linearity in the equation system is taken care off by using a method of invertibe point transformation of anharmonic oscillator equation, which has proven itself very useful in recent past while investigating dynamics of minimally coupled scalar fields.