Gauss-Bonnet Gravity with Scalar Field in Four Dimensions
Metin Gurses
TL;DR
This paper provides all exact solutions for Einstein-Gauss-Bonnet gravity coupled with a scalar field in four dimensions, expanding understanding of such modified gravity theories.
Contribution
It presents a complete set of exact solutions for four-dimensional Einstein-Gauss-Bonnet gravity with scalar coupling, which was previously unexplored.
Findings
All exact solutions under certain assumptions are derived.
The solutions reveal new possible behaviors of scalar fields in modified gravity.
The work clarifies the role of Gauss-Bonnet terms in four-dimensional scalar-tensor theories.
Abstract
We give all exact solutions of the Einstein-Gauss-Bonnet Field Equations coupled with a scalar field in four dimensions under certain assumptions.
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