Exact barotropic distributions in Einstein-Gauss-Bonnet gravity

Understand

New exact solutions to the field equations in the Einstein--Gauss--Bonnet modified theory of gravity for a 5--dimensional spherically symmetric static distribution of a perfect fluid is obtained.

• The Frobenius method is used to obtain this solution in terms of an infinite series.
• Exact solutions are generated in terms of polynomials from the infinite series.
• The 5--dimensional Einstein solution is also found by setting the coupling constant to be zero.