Emergent universe in theories with natural UV cutoffs

Abstract

We investigate the realization of the emergent universe scenario in theories with natural UV cutoffs, namely a minimum length and a maximum momentum, quantified by a new deformation parameter in the generalized uncertainty principle. We extract the Einstein static universe solutions and we examine their stability through a phase-space analysis. As we show, the role of the new deformation parameter is crucial in a twofold way: Firstly, it leads to the appearance of new Einstein static universe critical points, that are absent in standard cosmology. Secondly, it provides a way for a graceful exit from the Einstein static universe into the expanding thermal history, that is needed for a complete and successful realization of the emergent universe scenario.

Einstein static universe, GUP, and natural IR and UV cut-offs

“…The bounds on α b Relevant works to natural cut-offs are reported in Ref. [29] should be a subject of precise cosmological observations, for instance the measurement of the cosmological constant.…”

Emergent universe scenario, bouncing universes, and cyclic universes in degenerate massive gravity

“…Gauss-Bonnet gravity [69,70], Brans-Dicke theory [71][72][73][74][75], Horava-Lifshitz theory [76][77][78], brane world scenario [79][80][81], Einstein-Cartan theory [82], f (R, T ) gravity [83], Eddingtonginspired Born-Infeld theory [84], Horndeski theory [85,86], hybrid metric-Palatini gravity [87] and so on [88][89][90][91][92][93][94][95][96][97][98]. We refer to e.g.…”

Quantum cosmology with dynamical vacuum in a minimal-length scenario

“…Thus, an effective description of the effects of quantum gravity through a phenomenological approach can be obtained by considering a minimal-length scenario [1][2][3][4]. Some results in the literature indicate that the introduction of a minimal length could also solve the problems like the initial singularity (big bang singularity) [5][6][7][8][9][10][11][12][13], the black hole complete evaporation (catastrophic evaporation of a black hole) [3,[14][15][16][17][18], the cosmological constant [12,[19][20][21], the Chandrasekhar limit [4,18,20], the instability of the Einstein static universe (emergent universe) [22], the vanishing of cosmological constant in multiverse theories [19], and so on.…”

“…Many authors have studied effects of a minimal length in cosmology using a classical approach in which the Poisson brackets are modified according to the correspondence principle [10,22,[47][48][49][50][51]. In the vast majority of the GUP formulation the parameter related to the minimal length (deformation parameter) is positive.…”