MG14 - Talk detail

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A natural generalisation of the standard general relativity is quasilinear Einstein-Gauss-Bonnet gravity. 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 are obtained. The Frobenius method is used to obtain this solution in terms of an infinite series. For a particular choice of parameter solutions in terms of polynomials are generated. The 5-dimensional Einstein solution is also found by setting the coupling constant to be zero. All models admit a barotropic equation of state. Linear equations of state are admitted in particular models with the energy density profile of isothermal distributions. We examine the physicality of the solution by studying graphically the isotropic pressure and the energy density. The model is well behaved in the interior and the weak, strong and dominant energy conditions are satisfied.

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