Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism

TL;DR

This paper explores static black-hole and black-string solutions in N=2, d=5 supergravity using the H-FGK formalism, providing new methods for solution construction and analyzing horizon area relations.

Contribution

It extends the H-FGK formalism to black strings, offers a systematic way to determine solution parameters, and presents new extremal string solutions in heterotic string theory.

Findings

Transformation of non-extremal to extremal flow equations.

Explicit construction of new extremal string solution.

Product of horizon areas relates to extremal solution area.

Abstract

We study general classes and properties of extremal and non-extremal static black-hole solutions of N=2, d=5 supergravity coupled to vector multiplets using the recently proposed H-FGK formalism, which we also extend to static black strings. We explain how to determine the integration constants and physical parameters of the black-hole and black-string solutions. We derive some model-independent statements, including the transformation of non-extremal flow equations to the form of those for the extremal flow. We apply our methods to the construction of example solutions (among others a new extremal string solution of heterotic string theory on K_3 \times S^1). In the cases where we have calculated it explicitly, the product of areas of the inner and outer horizon of a non-extremal solution coincides with the square of the moduli-independent area of the horizon of the extremal solution with the same charges.