Exact barotropic distributions in EinsteinGaussBonnet gravity
Abstract
New exact solutions to the field equations in the EinsteinGaussBonnet modified theory of gravity for a fivedimensional 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. Exact solutions are generated in terms of polynomials from the infinite series. The fivedimensional Einstein solution is also found by setting the coupling constant to 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.
 Publication:

Physical Review D
 Pub Date:
 April 2015
 DOI:
 10.1103/PhysRevD.91.084049
 arXiv:
 arXiv:1512.08972
 Bibcode:
 2015PhRvD..91h4049M
 Keywords:

 04.20.Jb;
 04.40.Nr;
 04.70.Bw;
 Exact solutions;
 EinsteinMaxwell spacetimes spacetimes with fluids radiation or classical fields;
 Classical black holes;
 General Relativity and Quantum Cosmology
 EPrint:
 15 pages, submitted for publication