The non-singular model of the Universe i.e. emergent scenario is now very well known in cosmology. In Einstein gravity such type of singularity free solution is possible in the context of non-equilibrium thermodynamical prescription (both in first and 2nd order theory) with particle creation mechanism. Also there are various models of emergent scenario in different gravity theories. The present work is a twofold attempt namely (i) it has been examined whether it is possible to have singularity free solution in Hořava–Lifshitz modified gravity theory, (ii) if such singularity free solution exists then whether such solution is thermodynamically viable. It is found that perfect fluid matter distribution with phantom nature can generate such type of solution for closed and flat model. Finally thermodynamical analysis has been studied both at the apparent horizon and at any arbitrary horizon.

宇宙的非奇异模型，即紧急场景，现在在宇宙学中是众所周知的。在爱因斯坦引力中，在具有粒子生成机制的非平衡热力学处方（一阶和二阶理论）的情况下，这种类型的无奇点解是可能的。在不同的引力理论中，也有各种紧急情况模型。当前的工作是双重尝试，即（i）在Hořava-Lifshitz修正重力理论中已经检查了是否可能具有奇异解，（ii）如果存在这种奇异解，那么该解在热力学上是否可行。发现具有幻像性质的完美流体物质分布可以为封闭和平坦模型生成这种类型的解。