Regular Article - Theoretical Physics
Collapsing spherical star in Scalar-Einstein-Gauss-Bonnet gravity with a quadratic coupling
Centre for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, 721 302, India
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Accepted: 10 April 2018
Published online: 16 April 2018
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.
© The Author(s), 2018