## Cosmology from Newton-Chern-Simons gravity.(English)Zbl 1472.85004

Summary: 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 $$(3+1)$$-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.

### MSC:

 85A40 Astrophysical cosmology 83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) 76E20 Stability and instability of geophysical and astrophysical flows 83C75 Space-time singularities, cosmic censorship, etc.

### Keywords:

Litlle Big Rip future singularity
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### References:

 [1] Cataldo, M.; Crisóstomo, J.; del Campo, S.; Gómez, F.; Quinzcara, C.; Salgado, P., Accelerated FRW solutions in Chern-Simons gravity, Eur. Phys. J. C, 74, 3087 (2014) [2] Izaurieta, F.; Minning, P.; Perez, A.; Rodriguez, E.; Salgado, P., Phys. Lett. B, 678, 213 (2009) [3] Mañes, J.; Stora, R.; Zumino, B., Algebraic study of chiral anomalies, Commun. Math. Phys., 102, 157 (1985) · Zbl 0573.53054 [4] Izaurieta, F.; Rodriguez, E.; Salgado, P., The extended Cartan homotopy formula and a subspace separation method for Chern-Simons supergravity, Lett. Math. Phys., 80, 127-138 (2007) · Zbl 1131.81032 [5] Gómez, F.; Minning, P.; Salgado, P., Standard cosmology in Chern-Simons gravity, Phys. Rev D, 84, Article 063506 pp. (2011) [6] González Albornoz, N. L.; Rubio, G.; Salgado, P.; Salgado, S., Generalized Galilean algebras and Newtonian gravity, Phys. Lett. B, 755, 433-438 (2016) · Zbl 1367.83086 [7] Rubio, G.; Salgado, P., Modified Newtonian dynamics and non-relativistic ChSAS gravity, Phys. Lett. B, 787, 30-35 (2018) · Zbl 1403.83045 [8] Rüede, C.; Straumann, N., On Newton-Cartan cosmology, Helv. Phys. Acta, 70, 318-335 (1997) · Zbl 0868.53071 [9] Dadhich, N., Derivation of the Raychaudhuri equation (2005) [10] Parthasarathy, R., Five dimensional gravity and Big Bang singularity (2015) [11] Lima, J. A.S.; Zanchin, V.; Brandenberger, R., On the Newtonian cosmology equations with pressure, Mon. Not. R. Astron. Soc., 291, L1-L4 (1997) [12] Mukohyama, S., Class. Quantum Gravity, 27, Article 223101 pp. (2010) [13] Devecioǧlu, D. O.; Özdemir, N.; Ozkan, M.; Zorba, U., Class. Quantum Gravity, 35, 11, Article 115016 pp. (2018) [14] Cruz, M.; Lepe, S.; Peña, F., Phys. Rev. D, 92, Article 123511 pp. (2015) [15] Brevik, I.; Elizalde, E.; Nojiri, S.; Odintsov, S. D., Phys. Rev. D, 84, Article 103508 pp. (2011)
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