Some cosmological solutions in Einstein-Chern-Simons gravity

Abstract

In this paper we find new solutions for the so called Einstein-Chern-Simons Friedmann-Robertson-Walker field equations studied in refs. [1,2]. We consider three cases:(i) in the first case we find some solutions of the five-dimensional ChS-FRW field equations when the h a field is a perfect fluid that obeys a barotropic equation of state; (ii) in the second case we study the solutions, for the cases γ = 1/2, 3/4, when the h a field is a five dimensional politropic fluid that obeys the equation P (h) = ω (h) ρ (h)γ ; (iii) in the third case we find the scale factor and the state parameter ω(t) when the h a field is a variable modified Chaplygin gas.We consider also a space-time metric which contains as a subspace to the usual four-dimensional FRW and then we study the same three cases considered in the five-dimensional, namely when(i) the h a field is a perfect fluid, (ii) the h a field is a five dimensional politropic fluid and (iii) the h a field is a variable modified Chaplygin gas.

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Exact solutions in higher-dimensional Lovelock and AdS 5 Chern-Simons gravity

“…[34][35][36][37][38], the Chern-Simons theory is mostly used in String Theory and in Supergravity as a starting point for a full Quantum Gravity theory. In the cosmological framework, Chern-Simons gravity enlarges the predictions provided by GR in higher dimensions [39,40].…”

Late-time constraints on modified Gauss-Bonnet cosmology

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