Research Article Higgs Field in Universe: Long-Term Oscillation and Deceleration/Acceleration Phases Vladimir Dzhunushaliev 1,2,3,4 1 Te Teoretical and Nuclear Physics Department, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan 2 IETP, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan 3 Institute for Basic Research, Eurasian National University, Astana 010008, Kazakhstan 4 Institute of Physics of National Academy of Science Kyrgyz Republic, 265 a, Chui Street, Bishkek 720071, Kyrgyzstan Correspondence should be addressed to Vladimir Dzhunushaliev; v.dzhunushaliev@gmail.com Received 1 May 2014; Accepted 8 July 2014; Published 20 July 2014 Academic Editor: Edward Malec Copyright © 2014 Vladimir Dzhunushaliev. Tis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. It is shown that the Einstein gravity and Higgs scalar feld have (a) a long-term oscillation phase; (b) cosmological regular solutions with deceleration/acceleration phases. Te frst has a preceding contracting and subsequent expanding phases and between them there exists an oscillating phase with arbitrary time duration. Te behavior of the second solution near to a fex point is in detail considered. 1. Introduction Te standard cosmological model (for review, see [1]) gives us an accurate description of the evolution of the Universe. In spite of its success, the standard cosmological model has a series of problems such as the initial singularity, the cosmological horizon, the fatness problem, the baryon asymmetry, and the nature of dark matter and dark energy. Under the dynamical laws of general relativity, the stan- dard FLRW cosmology becomes singular at the origin of Universe. Te matter density and geometrical invariants diverge as the volume of the Universe goes to zero. Te Big Bang singularity seems to be an unavoidable aspect of the currently established cosmological model [2] which probably only a full quantum theory of gravity could resolve. A bouncing Universe with an initial contraction to a non- vanishing minimal radius; then subsequently an expanding phase provides a possible solution to the singularity problem of the standard Big Bang cosmology. Bouncing cosmologies, in which the present era of expan- sion is preceded by a contracting phase, have been studied as potential alternatives to infation in solving the problems of standard FRW cosmology. Te frst explicit semianalytic solution for a closed bouncing FRW model flled by a massive scalar feld was found by Starobinskii [3]. Later explicit solutions for a bouncing geometry were obtained by Novello and Salim [4] and Melnikov and Orlov [5]. For the review of the cosmological bounce one can see review [6]. Supernova observations [7, 8] were the frst to suggest that our Universe is currently accelerating. For this acceleration now it is believed that as much as 2/3 of the total density of the Universe is in a form which has large negative pressure and which is usually referred to as dark energy. A number of various models have been proposed aiming at the description of dark energy universe (for review, see [9–11]). It is evident that to have deceleration (where ̈ <0) and acceleration (where ̈ >0) phases it is necessary to have the moment with ̈ =0. Here we would like to show that (a) a Universe bounce can be not only a short time event but also it can be a long-term oscillating process; (b) the gravitating Higgs scalar feld may have cosmological solutions with such property. Such solution exists only with a single value of cosmological constant. 2. Long-Term Bouncing 2.1. Te Statement of the Problem. In this section we will investigate a cosmological solution for a closed Universe flled Hindawi Publishing Corporation Journal of Gravity Volume 2014, Article ID 326749, 6 pages http://dx.doi.org/10.1155/2014/326749