In this study, in context of general relativity we consider Einstein, Bergmann-Thomson, Møller and Landau-Lifshitz energy momentum definitions and we compute the total energy distribution (due to matter and fields including gravitation) of the universe based on Szekeres class I and class II space-times. We show that Einstein and Bergmann-Thomson definitions of the energy-momentum complexes give...

Let (M, g) be a compact Kähler-Einstein manifold with c1 > 0. Denote by K → M the canonical line-bundle, with total space X, and X0 the singular space obtained by blowing down X along its zero section. We employ a construction by Page and Pope and discuss an interesting multi-parameter family of Poincaré–Einstein metrics on X. One 1-parameter subfamily {gt}t>0 has the property that as t ↘ 0, gt...

einstein, möbius, and proper velocity gyrogroups are relativistic gyrogroups that appear as three different realizations of the proper lorentz group in the real minkowski space-time $bbb{r}^n$. using the gyrolanguage we study their gyroharmonic analysis. although there is an algebraic gyroisomorphism between the three models we show that there are some differences between them. our study focus ...

A generalized flag manifold is a homogeneous space of the form G/K, where K is the centralizer of a torus in a compact connected semisimple Lie group G. We classify all flag manifolds with four isotropy summands by the use of t-roots. We present new G-invariant Einstein metrics by solving explicity the Einstein equation. We also examine the isometric problem for these Einstein metrics. 2000 Mat...

The present research paper consists of the study an η1-Einstein soliton in general relativistic space-time with a torse-forming potential vector field. Besides this, we try to evaluate characterization metrics when semi-symmetric energy-momentum tensor admits soliton, whose field is torse-forming. In adition, certain curvature conditions on that admit are explored and build up importance Laplac...

In this paper we study the static Einstein–Maxwell space when it is conformal to an n-dimensional pseudo-Euclidean space, which invariant under action of $$(n-1)$$ -dimensional translation group. We also provide a complete classification such space.