On black holes in multidimensional theory with Ricci-flat internal spaces

TL;DR

This paper generalizes black hole solutions to higher dimensions with Ricci-flat internal spaces, showing horizons only occur in trivial cases, and explores p-adic analogs of these solutions.

Contribution

It extends the Tangherlini solution to include multiple Ricci-flat internal spaces and analyzes horizon conditions in higher-dimensional theories.

Findings

Horizon exists only when internal spaces are constant.

Generalized solutions for multiple Ricci-flat internal spaces.

p-adic analogs of the higher-dimensional black hole solutions.

Abstract

A generalization of the Tangherlini solution for the case of n internal Ricci-flat spaces is obtained. It is shown that in the (2+d)-dimensional section a horizon exists only in the trivial case when the internal-space factors are constant. The p-adic analog of the solution is also considered.