Exact barotropic distributions in Einstein-Gauss-Bonnet gravity
Abstract
New exact solutions to the field equations in the Einstein-Gauss-Bonnet modified theory of gravity for a five-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. Exact solutions are generated in terms of polynomials from the infinite series. The five-dimensional 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;
- Einstein-Maxwell spacetimes spacetimes with fluids radiation or classical fields;
- Classical black holes;
- General Relativity and Quantum Cosmology
- E-Print:
- 15 pages, submitted for publication