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We investigate the linear cosmological perturbations of Ho\v{r}ava-Lifshitz gravity in a FRW universe without any matter. Our results show that a new gauge invariant dynamical scalar mode emerges, due to the gauge transformation under the…

High Energy Physics - Theory · Physics 2009-09-02 Rong-Gen Cai , Bin Hu , Hong-Bo Zhang

Horava-Lifshitz gravity, a recent proposal for a UV-complete renormalizable gravity theory, may lead to a bouncing cosmology. In this note we argue that Horava-Lifshitz cosmology may yield a concrete realization of the matter bounce…

High Energy Physics - Theory · Physics 2013-05-29 Robert Brandenberger

We study Horava-Lifshitz gravity in the presence of a scalar field. When the detailed balance condition is implemented, a new term in the gravitational sector is added in order to maintain ultraviolet stability. The four-dimensional theory…

High Energy Physics - Theory · Physics 2010-04-06 Gianluca Calcagni

We consider gauge invariant cosmological perturbations in UV-modified, z=3 Horava gravity with one scalar matter field, which has been proposed as a renormalizable gravity theory without the ghost problem in four dimensions. In order to…

High Energy Physics - Theory · Physics 2017-12-27 Sunyoung Shin , Mu-In Park

We revisit gauge invariant cosmological perturbations in UV-modified, z = 3 Horava gravity with one scalar matter field, which has been proposed as a renormalizable gravity theory without the ghost problem in four dimensions. We confirm…

General Relativity and Quantum Cosmology · Physics 2018-01-24 Mu-In Park

In Horava-Lifshitz gravity, the extra dynamical scalar mode could play significant role in cosmology. However it has been pointed out that such a scalar may suffer from the strong coupling problem in IR. We address this issue in this paper.…

High Energy Physics - Theory · Physics 2009-10-05 Bin Chen , Shi Pi , Jin-Zhang Tang

We consider an extended theory of Horava-Lifshitz gravity with the detailed balance condition softly breaking, but without the projectability condition. With the former, the number of independent coupling constants is significantly reduced.…

High Energy Physics - Theory · Physics 2012-03-01 Tao Zhu , Fu-Wen Shu , Qiang Wu , Anzhong Wang

Based on the renormalizable theory of gravitation recently proposed by Horava, we present a simple scenario to generate almost scale-invariant, super-horizon curvature perturbations. The anisotropic scaling with dynamical critical exponent…

High Energy Physics - Theory · Physics 2010-03-12 Shinji Mukohyama

We study the ultraviolet complete non-relativistic theory recently proposed by Horava. After introducing a Lifshitz scalar for a general background, we analyze the cosmology of the model in Lorentzian and Euclidean signature. Vacuum…

High Energy Physics - Theory · Physics 2009-10-02 Gianluca Calcagni

Using the dynamical system approach, properties of cosmological models based on the Horava-Lifshitz gravity are systematically studied. In particular, the cosmological phase space of the Horava-Lifshitz model is characterized. The analysis…

High Energy Physics - Theory · Physics 2015-05-14 Sante Carloni , Emilio Elizalde , Pedro J. Silva

Ho\v{r}ava-Lifshitz gravity is a potentially UV complete theory with important implications for the very early universe. In particular, in the presence of spatial curvature it is possible to obtain a non-singular bouncing cosmology. The…

High Energy Physics - Theory · Physics 2015-05-14 Xian Gao , Yi Wang , Wei Xue , Robert Brandenberger

In the Horava-Lifshitz theory of quantum gravity, two conditions -- detailed balance and projectability -- are usually assumed. The breaking of projectability simplifies the theory, but it leads to serious problems with the theory. The…

High Energy Physics - Theory · Physics 2010-04-06 Anzhong Wang , Roy Maartens

We perform a detailed phase-space analysis of Horava-Lifshitz cosmology, with and without the detailed-balance condition. Under detailed-balance we find that the universe can reach a bouncing-oscillatory state at late times, in which…

High Energy Physics - Theory · Physics 2009-12-15 Genly Leon , Emmanuel N. Saridakis

Using the qualitative theory of differential equations, the global dynamics of a cosmological model based on Horava-Lifshitz gravity is studied in the space with zero curvature in the presence of the non-zero cosmological constant.

General Relativity and Quantum Cosmology · Physics 2021-11-17 Fabao Gao , Jaume Llibre

This article reviews basic construction and cosmological implications of a power-counting renormalizable theory of gravitation recently proposed by Horava. We explain that (i) at low energy this theory does not exactly recover general…

High Energy Physics - Theory · Physics 2010-11-03 Shinji Mukohyama

Detailed balance and projectability conditions are two main assumptions when Horava recently formulated his theory of quantum gravity - the Horava-Lifshitz (HL) theory. While the latter represents an important ingredient, the former often…

High Energy Physics - Theory · Physics 2011-05-09 Ahmad Borzou , Kai Lin , Anzhong Wang

An attempt is made here to extend to the microscopic domain the scale invariant character of gravitation - which amounts to consider expansion as applying to any physical scale. Surprisingly, this hypothesis does not prevent the redshift…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Pierre Midy , Jean-Pierre Petit

In this paper, we study a projectable Ho\v{r}ava-Lifshitz cosmology without the detailed balance condition minimally coupled to a non-linear self-coupling scalar field. In the minisuperspace framework, the super Hamiltonian of the presented…

General Relativity and Quantum Cosmology · Physics 2021-02-25 Fatimah Tavakoli , Babak Vakili , Hossein Ardehali

We study perturbations of a scalar field cosmology in Horava-Lifshitz gravity, adopting the most general setup without detailed balance but with the projectability condition. We derive the generalized Klein-Gordon equation, which is…

High Energy Physics - Theory · Physics 2010-04-27 Anzhong Wang , David Wands , Roy Maartens

In this paper, we investigate the scalar quasinormal modes of Ho\v{r}ava-Lifshitz theory with $U(1)$ symmetry in static Anti-de Sitter spacetime. The static planar and spherical black hole solutions in lower energy limit are derived in…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Kai Lin , Wei-Liang Qian , A. B. Pavan
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