Invariants under conformal rescaling of the space-time - A study including consequences for the metric
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2017, Vol 0, Issue 1
Abstract
The conformal transformations play crucial role in the analysis of global structure of the physical space-time. This paper shows some geometrical and physical objects which describe the space-time. There are also given transformation laws for them under conformal rescaling of the metric. The main goal of this article is to check which geometrical and physical objects are invariants under the conformal rescaling of the metric and to present the consequences of the conformal transformation of the metric like creation of the energy and momentum for the gravitional field or creation of the matter.
Authors and Affiliations
Marta Dudek
Keywords
Related Articles
- EP ID EP235840
- DOI 10.26485/0459-6854/2017/67.1/1
- Views 68
- Downloads 0
Nonclassical parameters in kernel estimation
In kernel method, using in estimation as well as in hypothesis testing problems, two parameters should be fixed: kernel function and smoothing parameter. Some methods of kernel estimation and methods of choosing kernel p...
Analysis of a viscoelastic frictionless contact problem with unilateral constraint / Analiza elastycznego kontaktu z uwzględnieniem lepkości w aspekcie jednostronnych więzów
We consider a quasistatic problem which models the contact between a deformable body and a foundation. The material is assumed to have a viscoelastic behavior that we model with a constitutive law with long-term memory;...
The magnetic and electric field produced by a proton bunch from the LHC and project of the chamber for investigations in these fields
This paper describes the estimation method of the spatial distribution of magnetic field induction and electric field intensity produced by a relativistic beam of charged particles. The described method is applied to est...
Some remarks on similar topologies / Pewne uwagi o podobnych topologiach
Let T1, T2 be topologies defined on a set X. Assume that T1 and T2 are similar, that means the families of sets with nonempty interior in topological spaces (X; T1) and (X; T2) are equal. The aim of our paper is to check...
No-hole λ-L (k, k – 1, …, 2,1)-labeling for square grid / BEZLUKOWE λ -L(K;K - 1; : : : ;2;1)-ETYKIETOWANIEKWADRATOWEJ KRATY
-