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In the non-relativistic theory of gravitation recently proposed by Horava, the Hamiltonian constraint is not a local equation satisfied at each spatial point but an equation integrated over a whole space. The global Hamiltonian constraint…

高能物理 - 理论 · 物理学 2011-09-29 Shinji Mukohyama

In Horava's theory of gravity, Lorentz symmetry is broken in exchange for renormalizability, but the original theory has been argued to be plagued with problems associated with a new scalar mode stemming from the very breaking of Lorentz…

高能物理 - 理论 · 物理学 2015-05-18 Tsutomu Kobayashi , Yuko Urakawa , Masahide Yamaguchi

We investigate the interplay between Horava-Lifshitz (HL) gravity and more general theories where the local Hamiltonian constraint is lost, for example due to the time variability of the Lagrangian (e.g. via its parameters) where time is…

广义相对论与量子宇宙学 · 物理学 2025-02-11 Paolo M Bassani , Joao Magueijo , Shinji Mukohyama

Horava and Melby-Thompson recently proposed a new version of the Horava-Lifshitz theory of gravity, in which the spin-0 graviton is eliminated by introducing a Newtonian pre-potential $\phi$ and a local U(1) gauge field $A$. In this paper,…

高能物理 - 理论 · 物理学 2011-02-23 Anzhong Wang , Yumei Wu

We present a fully nonlinear study of long wavelength cosmological perturbations within the framework of the projectable Horava-Lifshitz gravity, coupled to a single scalar field. Adopting the gradient expansion technique, we explicitly…

高能物理 - 理论 · 物理学 2013-05-30 A. Emir Gumrukcuoglu , Shinji Mukohyama , Anzhong Wang

We discuss the evolution of linear perturbations about a Friedmann-Robertson-Walker background metric, using only the local conservation of energy-momentum. We show that on sufficiently large scales the curvature perturbation on spatial…

天体物理学 · 物理学 2009-10-31 David Wands , Karim A. Malik , David H. Lyth , Andrew R. Liddle

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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 2010-04-06 Anzhong Wang , Roy Maartens

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…

高能物理 - 理论 · 物理学 2010-03-12 Shinji Mukohyama

In this note, we compare two different definitions for the cosmological perturbation $\zeta$ which is conserved on large scales, and study their non-conservation on small scales. We derive an equation for the time evolution of the curvature…

广义相对论与量子宇宙学 · 物理学 2023-02-22 Chia-Min Lin

A conserved cosmological perturbation is associated with each quantity whose local evolution is determined entirely by the local expansion of the Universe. It may be defined as the appropriately normalised perturbation of the quantity,…

天体物理学 · 物理学 2008-11-26 David H Lyth , David Wands

The linear cosmological perturbation theory of an almost homogeneous and isotropic perfect fluid universe is reconsidered and formally simplified by introducing new covariant and gauge-invariant variables with physical interpretations on…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Winfried Zimdahl

The tension between the Hubble constant obtained from the local measurements and from cosmic microwave background (CMB) measurements motivated us to consider the cosmological model beyond $\Lambda$CDM one. We investigate the cosmology in…

广义相对论与量子宇宙学 · 物理学 2022-06-15 Jing Li , Yongxiang Zhou , Xun Xue

We consider the evolution of perturbed cosmological spacetime with multiple fluids and fields in Einstein gravity. Equations are presented in gauge-ready forms, and are presented in various forms using the curvature (\Phi or \phi_\chi) and…

天体物理学 · 物理学 2010-05-28 J. Hwang , H. Noh

We define fully non-perturbative generalizations of the uniform density and comoving curvature perturbations, which are known, in the linear theory, to be conserved on sufficiently large scales for adiabatic perturbations. Our non-linear…

天体物理学 · 物理学 2009-11-10 David Langlois , Filippo Vernizzi

Precise understanding of nonlinear evolution of cosmological perturbations during inflation is necessary for the correct interpretation of measurements of non-Gaussian correlations in the cosmic microwave background and the large-scale…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Naonori S. Sugiyama , Eiichiro Komatsu , Toshifumi Futamase

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.…

高能物理 - 理论 · 物理学 2012-03-01 Tao Zhu , Fu-Wen Shu , Qiang Wu , Anzhong Wang

Horava-Lifshitz theory of gravity with detailed balance is plagued by the presence of a negative bare (or geometrical) cosmological constant which makes its cosmology clash with observations. We argue that adding the effects of the large…

高能物理 - 理论 · 物理学 2014-11-20 Corrado Appignani , Roberto Casadio , S. Shankaranarayanan

This study explores the impact of cosmic curvature on structure formation through general relativistic first-order perturbation theory. We analyze continuity and Euler equations, incorporating cosmic curvature into Einstein equations.…

宇宙学与河外天体物理 · 物理学 2025-05-29 Bikash R. Dinda

We present a method for constructing gauge-invariant cosmological perturbations which are gauge-invariant up to second order. As an example we give the gauge-invariant definition of the second-order curvature perturbation on uniform density…

天体物理学 · 物理学 2009-11-10 Karim A Malik , David Wands
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