The gravitational field of the SdS space-time

TL;DR

This paper analyzes the gravitational field of Schwarzschild-de Sitter space-time by examining its curvature invariants and tensor characteristics to classify the nature of its gravitational field.

Contribution

It introduces a canonical form and curvature invariants specific to SdS space-time, enhancing understanding of its gravitational properties.

Findings

Identification of the type of gravitational field via the λ-tensor

Expression of Gaussian curvature in terms of curvature invariants

Characterization of SdS space-time's gravitational field

Abstract

The goal of this paper is to study SdS space-time and its gravitational field with consideration of the canonical form and invariants of the curvature tensor. The characteristic of $\lambda$-tensor identifies the type of gravitational field. Gaussian curvature quantities enunciated in terms of curvature invariants.