A Note on Non-BPS Black Holes in 5D

TL;DR

This paper investigates the construction of non-BPS charged black holes in five-dimensional supergravity, revealing that consistent asymptotic solutions are generated by symmetry transformations that preserve the action.

Contribution

It demonstrates the inconsistency of non-BPS solutions beyond the near horizon region and identifies symmetry transformations that produce consistent asymptotic solutions for special prepotentials.

Findings

Non-BPS solutions are inconsistent with second order equations outside the near horizon.

Symmetry transformations can generate asymptotically flat non-BPS solutions.

Consistent solutions are found only for special prepotentials.

Abstract

We study the possibility of constructing non-BPS charged black holes in 5D Poincare supergravity by partially violating superconformal Killing spinor equations. However, solutions to these modified first order equations are inconsistent with the second order equations of motion beyond the near horizon region. Instead we find, for special prepotentials, that the consistent asymptotically flat extension of the non-BPS near horizon solution is generated by a symmetry transformation that leaves the two-derivative action invariant.