5 research outputs found
Gauss-Bonnet Gravity with Scalar Field in Four Dimensions
We give all exact solutions of the Einstein-Gauss-Bonnet Field Equations
coupled with a scalar field in four dimensions under certain assumptions.Comment: Latex file, 7 page
Collapsing spherical star in Scalar-Einstein-Gauss-Bonnet gravity with a quadratic coupling
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.Comment: To Appear in EPJ