Cosmology from Newton–Chern–Simons gravity
S. Lepe (Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Valparaíso, Chile); G. Rubio (Departamento of Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile); P. Salgado (Departamento of Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile, Facultad de Ciencias, Universidad Arturo Prat de Iquique, Av. Arturo Prat Chacón 2120, Iquique, Chile)
We study a five-dimensional non-relativistic gravity theory whose action is composed of a gravitational sector and a sector of matter where the gravitational sector is given by the so called Newton–Chern–Simons gravity and where the matter sector is described by a perfect fluid. At time to do cosmology, the obtained field equations shows a close analogy with the projectable version of the Hořava–Lifshitz theory in -dimensions. Solutions and their asymptotic limits are found. In particular a phantom solution with a future singularity reminiscent of a Litlle Big Rip future singularity is obtained.