5D Black Holes and Strings with Higher Derivatives

TL;DR

This paper explores five-dimensional supergravity solutions with higher derivative corrections, revealing how these terms can regularize singularities and modify black hole entropy, with implications for string theory and quantum gravity.

Contribution

It provides new asymptotically flat black hole and string solutions in 5D supergravity including higher derivatives, and analyzes their effects on singularities and entropy.

Findings

Higher derivative terms smooth out naked singularities into regular geometries.

Corrections to the entropy of 5D Calabi-Yau black holes are computed.

Fundamental heterotic string solutions are regularized by higher derivatives.

Abstract

We find asymptotically flat black hole and string solutions to 5D supergravity in the presence of higher derivative terms. In some cases, including the fundamental heterotic string solution, the higher derivative terms smooth out naked singularities into regular geometries carrying zero entropy. We also compute corrections to the entropy of 5D Calabi-Yau black holes, and discuss the relation to previous results.