Exact Einstein-Gauss-Bonnet spacetime in six dimensions

A new exact solution to the field equations in the Einstein-Gauss-Bonnet modified theory of gravity, for a six-dimensional spherically symmetric static distribution of a perfect fluid source is presented. The pressure isotropy equation is integrated after a form for the temporal potential proportional to the radius is postulated to close the system of equations. For a specific choice of the coupling parameter it is demonstrated that the matching of the interior and exterior spacetimes is explicitly achievable. The general model has been tested to be physically acceptable in this framework using criteria extrapolated from the standard four dimensional theory and after locating a suitable parameter space through fine-tuning. A vanishing pressure hypersurface signifying a boundary exists and the speed of sound is subluminal throughout the interior of the matter distribution. Furthermore, all energy conditions are satisfied. Finally, the Chandrasekhar adiabatic stability bound is satisfied.