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We have constructed gravity solutions by breaking the Lorentzian symmetry to its subgroup, which means there is Galilean symmetry but without the rotational and boost invariance. This solution shows anisotropic behavior along both the…

高能物理 - 理论 · 物理学 2010-10-26 Shesansu Pal

In the minimal formulation of gravity with Lifshitz-type anisotropic scaling, the gauge symmetries of the system are foliation-preserving diffeomorphisms of spacetime. Consequently, compared to general relativity, the spectrum contains an…

高能物理 - 理论 · 物理学 2014-11-21 Petr Horava , Charles M. Melby-Thompson

We investigate primordial perturbations and non-gaussianities in the Ho\v{r}ava-Lifshitz theory of gravitation. In the UV limit, the scalar perturbation in the Ho\v{r}ava theory is naturally scale-invariant, ignoring the details of the…

高能物理 - 理论 · 物理学 2019-06-26 Xian Gao

Motivated by conventional gauge theories, we consider a theory of gravity in which the Einstein-Hilbert action is replaced by a term that is quadratic in the Riemann tensor. We focus on cosmological solutions to the field equations in flat,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. N. Lasenby , C. J. L. Doran , R. Heineke

Bouncing cosmologies are often proposed as alternatives to standard inflation for the explanation of the homogeneity and flatness of the universe. In such scenarios, the present cosmological expansion is preceded by a contraction phase.…

高能物理 - 理论 · 物理学 2010-04-30 V. Bozza , M. Bruni

We argue that Horava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and dynamical exponent z. First we show that Lifshitz spacetimes are vacuum solutions of HL gravity,…

高能物理 - 理论 · 物理学 2013-03-27 Tom Griffin , Petr Horava , Charles M. Melby-Thompson

We consider an extension of the Ho\v{r}ava-Lifshitz gravity with extra conformal symmetry by introducing a scalar field with higher order curvature terms. Relaxing the exact local Weyl symmetry, we construct an action with three free…

高能物理 - 理论 · 物理学 2015-05-28 Taeyoon Moon , Phillial Oh , Mu-In Park

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…

广义相对论与量子宇宙学 · 物理学 2021-02-25 Fatimah Tavakoli , Babak Vakili , Hossein Ardehali

Recently Ho\v{r}ava proposed a renormalizable quantum gravity, without the ghost problem, by abandoning Einstein's equal-footing treatment of space and time through the anisotropic scaling dimensions. Since then various interesting aspects,…

高能物理 - 理论 · 物理学 2015-06-05 Mu-In Park

We propose a general approach for the construction of modified gravity which is invariant under foliation-preserving diffeomorphisms. Special attention is paid to the formulation of modified $F(R)$ Ho\v{r}ava-Lifshitz gravity (FRHL), whose…

高能物理 - 理论 · 物理学 2012-06-06 Masud Chaichian , Shin'ichi Nojiri , Sergei D. Odintsov , Markku Oksanen , Anca Tureanu

We study cosmological perturbations in Ho\v{r}ava-Lifshitz Gravity. We consider scalar metric fluctuations about a homogeneous and isotropic space-time. Starting from the most general metric, we work out the complete second order action for…

高能物理 - 理论 · 物理学 2010-04-14 Xian Gao , Yi Wang , R. Brandenberger , A. Riotto

We propose a phenomenological approach to the cosmological constant problem based on generally covariant non-local and acausal modifications of four-dimensional gravity at enormous distances. The effective Newton constant becomes very small…

高能物理 - 理论 · 物理学 2007-05-23 Nima Arkani-Hamed , Savas Dimopoulos , Gia Dvali , Gregory Gabadadze

Near the singularity, gravity should be modified to an effective theory, in the same sense as with the Euler-Heisenberg electrodynamics. This effective gravity surmounts to higher derivative theory, and as is well known, a much more reacher…

广义相对论与量子宇宙学 · 物理学 2013-08-02 Daniel Müller

This paper is devoted to the study of various aspects of projectable F(R) Horava-Lifshitz (HL) gravity. We show that some versions of F(R) HL gravity may have stable de Sitter solution and instable flat space solution. In this case, the…

高能物理 - 理论 · 物理学 2011-09-14 Josef Kluson , Shin'ichi Nojiri , Sergei D. Odintsov , Diego Saez-Gomez

We present a novel theory of the very early universe which addresses the traditional horizon and flatness problems of big bang cosmology and predicts a scale invariant spectrum of perturbations. Unlike inflation, this scenario requires no…

高能物理 - 理论 · 物理学 2012-04-24 Kurt Hinterbichler , Justin Khoury

A salient feature of Horava gravity is the anisotropic time variable. We propose an alternative construction of the spacetime manifold which naturally enables time anisotropy. We promote the role of curvature: the Ricci scalar R at a given…

广义相对论与量子宇宙学 · 物理学 2013-02-27 Hoang Ky Nguyen

Recently Horava proposed a model for gravity which is described by the Einstein action in the infrared, but lacks the Lorentz invariance in the high-energy region where it experiences the anisotropic scaling. We test this proposal using two…

广义相对论与量子宇宙学 · 物理学 2009-08-24 G. E. Volovik

We investigate the Hamiltonian structure of linearized extended Ho\v{r}ava- Lifshitz gravity in a flat cosmological background following the Faddeev-Jackiw's Hamiltonian reduction formalism. The Hamiltonian structure of extended…

高能物理 - 理论 · 物理学 2011-02-01 Seoktae Koh , Sunyoung Shin

We present a new stationary solution to the field equations of Ho\v{r}ava-Lifshitz gravity with the detailed balance condition and for any value of the coupling constant \lambda > 1/3 . This is the generalization of the corresponding…

高能物理 - 理论 · 物理学 2016-08-14 Alikram N. Aliev , Çetin Şentürk

The standard formulation of the cosmological constant problem is based on one critical assumption---the spacetime is homogeneous and isotropic, which is true only on cosmological scales. However, this problem is caused by extremely small…

广义相对论与量子宇宙学 · 物理学 2020-08-05 Qingdi Wang