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The linear cosmological perturbation theory of almost homogeneous and isotropic perfect fluid and scalar field universes is reconsidered and formally simplified. Using the existence of a covariant conserved quantity on large perturbation…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Winfried Zimdahl

We present an approach to cosmological perturbations based on a covariant perturbative expansion between two worldlines in the real inhomogeneous universe. As an application, at an arbitrary order we define an exact scalar quantity which…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Kari Enqvist , Janne Hogdahl , Sami Nurmi , Filippo Vernizzi

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

We give a detailed and improved presentation of our recently proposed formalism for non-linear perturbations in cosmology, based on a covariant and fully non-perturbative approach. We work, in particular, with a covector combining the…

天体物理学 · 物理学 2009-11-13 David Langlois , Filippo Vernizzi

Previously defined covariant and gauge-invariant perturbation variables, representing, e.g., the fractional spatial energy density gradient on hypersurfaces of constant expansion, are used to simplify the linear perturbation analysis of a…

天体物理学 · 物理学 2009-10-30 Winfried Zimdahl

In recent years there has been a lot of interest in discussing frame dependences/independences of the cosmological perturbations under the conformal transformations. This problem has previously been investigated in terms of the covariant…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Yunlong Zheng , Yicen Mou , Haomin Rao , Mingzhe Li

It is shown that a first-order cosmological perturbation theory for the open, flat and closed Friedmann-Lema\^itre-Robertson-Walker universes admits one, and only one, gauge-invariant variable which describes the perturbation to the energy…

广义相对论与量子宇宙学 · 物理学 2014-10-02 P. G. Miedema , W. A. van Leeuwen

It is known that some cosmological perturbations are conformal invariant. This facilitates the studies of perturbations within some gravitational theories alternative to general relativity, for example the scalar-tensor theory, because it…

广义相对论与量子宇宙学 · 物理学 2015-10-21 Mingzhe Li , Yicen Mou

The covariant gauge invariant perturbation theory of scalar cosmological perturbations is developed for a general Scalar-Tensor Friedmann-Lemaitre-Robertson-Walker cosmology in a vacuum. The perturbation equations are then solved exactly in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sante Carloni , Peter K. S. Dunsby , Claudio Rubano

We investigate the relativistic cosmological hydrodynamic perturbations. We present the general large scale solutions of the perturbation variables valid for the general sign of three space curvature, the cosmological constant, and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. Hwang , H. Noh

We study the properties of cosmological density perturbations in a multi-component system consisting of a scalar field and a perfect fluid. We discuss the number of degrees of freedom completely describing the system, introduce a full set…

天体物理学 · 物理学 2009-11-10 Nicola Bartolo , Pier-Stefano Corasaniti , Andrew R. Liddle , Michaël Malquarti

We show how gauge-invariant cosmological perturbations may be constructed by an unambiguous choice of hypersurface-orthogonal time-like vector field (i.e., time-slicing). This may be defined either in terms of the metric quantities such as…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Karim A. Malik , David Wands

This is a review on cosmological perturbation theory. After an introduction, it presents the problem of gauge transformation. Gauge invariant variables are introduced and the Einstein and conservation equations are written in terms of these…

天体物理学 · 物理学 2015-06-24 Ruth Durrer

After introducing gauge-invariant cosmological perturbation theory we give an improved set of governing equations for multiple fluids including energy transfer. Having defined adiabatic and entropic perturbations we derive the…

天体物理学 · 物理学 2007-05-23 Karim A. Malik

We consider the evolution of perturbed cosmological spacetime with multiple scalar fields in Einstein gravity. A complete set of scalar-type perturbation equations is presented in a gauge-ready form, and we derived the closed set of…

天体物理学 · 物理学 2009-10-31 J. Hwang , H. Noh

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

In this brief note we present a set of equations describing the evolution of perturbed scalar fields in a cosmological spacetime with multiple scalar fields. We take into account of the simultaneously excited full metric perturbations in…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. Hwang

We investigate gauge invariant cosmological perturbations in a spatially flat Friedman-Robertson-Walker universe with scalar fields. It is well known that the evolution equation for the gauge invariant quantities has exact solutions in the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Yasusada Nambu , Atsushi Taruya

We describe the linear cosmological perturbations of a perfect fluid at the level of an action, providing thus an alternative to the standard approach based only on the equations of motion. This action is suited not only to perfect fluids…

广义相对论与量子宇宙学 · 物理学 2010-04-29 Antonio De Felice , Jean-Marc Gerard , Teruaki Suyama

In this paper we study the evolution of cosmological perturbations through a nonsingular bouncing universe using covariant perturbation theory and examine the validity of linear perturbation theory. The bounce is modeled by a two component…

广义相对论与量子宇宙学 · 物理学 2014-05-16 Atanu Kumar
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