A new kind of solutions of the Einstein's field equations with non-vanishing cosmological constant

TL;DR

This paper introduces a novel class of solutions to Einstein's field equations incorporating a non-zero cosmological constant, exploring their physical properties and singularities with illustrative examples.

Contribution

It presents a new type of solutions to Einstein's equations with a cosmological constant, expanding the understanding of possible spacetime geometries.

Findings

Solutions exhibit unique physical properties

Singularities are characterized and analyzed

Examples demonstrate the solutions' features

Abstract

In this paper we construct a new kind of solutions of the Einstein's field equations with non-vanishing cosmological constant, which possess some interesting physical properties. The singularities of this kind of solutions are investigated. According to the general form of this kind of solutions, we give some examples.