Multidimensional Extremal Dilatonic Black Holes in String-like Model with Cosmological Term

TL;DR

This paper extends multi-black-hole solutions in a string-like model with a cosmological constant, analyzing their properties, including temperature behavior, and generalizes previous solutions to Ricci-flat internal spaces.

Contribution

It generalizes the Maki-Shiraishi multi-black-hole solutions to include a cosmological constant and Ricci-flat internal spaces, and examines the temperature characteristics for string-like dilatonic black holes.

Findings

The solution reduces to known extremal black holes when mbda=0.

Hawking temperature is independent of internal space dimension for string dilatonic coupling.

The extremal limit of the solution is characterized and analyzed.

Abstract

A string-like model with the "cosmological constant" $\Lambda$ is considered. The Maki-Shiraishi multi-black-hole solution \cite{MS1} is generalized to space-times with a Ricci-flat internal space. For $\Lambda = 0$ the obtained solution in the one-black-hole case is shown to coincide with the extreme limit of the charged dilatonic black hole solution \cite{BI,BM}. The Hawking temperature $T_H$ for the solution \cite{BI,BM} is presented and its extreme limit is considered. For the string value of dilatonic coupling the temperature $T_H$ does not depend upon the internal space dimension.