Test of Pc and PCT Invariance in Decay Processes

Shirokov, M. I.

doi:10.1070/pu1963v005n06abeh003467

Cited by 7 publications

(7 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, the equations are suitable for the operation of averaging. Using our formulation we could apply and check the various different averaging prescriptions suggested in the literature [53,54,45].…”

Section: Discussionmentioning

confidence: 99%

Second-order perturbations of the Friedmann world model

2004

View full text Add to dashboard Cite

We consider the instability of the Friedmann world model to second order in perturbations. We present the perturbed set of equations up to second order in the Friedmann background world model with a general spatial curvature and cosmological constant. We consider systems with completely general imperfect fluids, minimally coupled scalar fields, an electromagnetic field, and generalized gravity theories. We also present the case of null geodesic equations, and one based on the relativistic Boltzmann equation. In due time, a decomposition is made for scalar-, vector-, and tensor-type perturbations which couple with each other to second order. A gauge issue is resolved to each order. The basic equations are presented without imposing any gauge condition, and thus in a gauge-ready form so that we can take full advantage of having gauge freedom in analyzing the problems. As an application we show that to second order in perturbation the relativistic pressureless ideal fluid of the scalar type reproduces exactly the known Newtonian result. As another application we rederive the large-scale conserved quantities ͑of the pure scalar and tensor perturbations͒ to second order, first shown by Salopek and Bond, now from the exact equations. Several other applications are shown as well.

show abstract

Section: Discussionmentioning

confidence: 99%

Second-order perturbations of the Friedmann world model

2004

View full text Add to dashboard Cite

show abstract

“…The question of whether an inhomogeneous spacetime behaves on average like a homogeneous solution of Einstein's equations is a long-standing issue, directly related to the problem of averaging general-relativistic spacetimes [332,333]. The reason is the generic nonlinearity of general relativity and the difficulty of establishing a unique and unambiguous way of averaging the spacetime metric, without throwing away crucial information during the process.…”

Section: Spatial Averagingmentioning

confidence: 99%

Relativistic cosmology and large-scale structure

2008

View full text Add to dashboard Cite

General relativity marked the beginning of modern cosmology and it has since been at the centre of many of the key developments in this field. In the present review, we discuss the general-relativistic dynamics and perturbations of the standard cosmological model, the Friedmann-Lemaitre universe, and how these can explain and predict the properties of the observable universe. Our aim is to provide an overview of the progress made in several major research areas, such as linear and non-linear cosmological perturbations, large-scale structure formation and the physics of the cosmic microwave background radiation, in view of current and upcoming observations. We do this by using a single formalism throughout the review, the 1+3 covariant approach to cosmology, which allows for a uniform and balanced presentation of technical information and physical insight.Comment: Several minor changes, typos corrected, references added and updated (Physics Reports in press

show abstract

“…The feature that the average behaviour of an inhomogeneous spacetime is not the same as the behaviour of the corresponding smooth spacetime (that is, one with the same average initial conditions) is called backreaction. In the context of cosmology, the issue was highlighted in [2] (it had been discussed earlier in [3]) as the fitting problem: how do we find the homogeneous and isotropic model which best fits the real inhomogeneous and anisotropic universe?…”

Section: Introductionmentioning

confidence: 99%