On the Riemann Extension of the Schwarzschild Metric

TL;DR

This paper explores solutions to Einstein's equations within an eight-dimensional Riemann extension of the Schwarzschild metric, aiming to understand higher-dimensional gravitational models.

Contribution

It introduces specific solutions for Einstein's equations in the context of an eight-dimensional Riemann-extended Schwarzschild metric, expanding classical four-dimensional results.

Findings

Identified particular solutions to Einstein's equations in extended dimensions

Analyzed geometric properties of the extended Schwarzschild metric

Provided insights into higher-dimensional gravitational theories

Abstract

Some solutions of the Einstein equations for the eight-dimensional Riemann extension of the classical four-dimensional Schwarzschild metric are considered.