Stringy Corrections to Kaluza-Klein Black Holes

TL;DR

This paper investigates how string theory corrections affect 4D black holes derived from 5D vacuum solutions, revealing that corrections vanish only for extremal solutions and linking mass and charge corrections for non-extremal cases.

Contribution

It provides the first analysis of stringy corrections to Kaluza-Klein black holes, highlighting conditions under which corrections vanish and their relation to black hole properties.

Findings

Corrections vanish only for extremal electric black holes.

Mass and charge corrections are related in non-extremal cases.

Implications for black hole entropy and string state counting are discussed.

Abstract

We consider string theory corrections to 4D black holes which solve the 5D vacuum Einstein equations. We find that the corrections vanish only for the extremal electric solution. We also show that for the non-extremal electric black hole the mass corrections are related to the charge corrections. The implications to string states counting and the correspondence principle for black holes and strings are discussed.