Effective action for the field equations of charged black holes

Understand

In this article, we consistently reduce the equations of motion for the bosonic N = 2 supergravity action, using a multi-centered black hole ansatz for the metric.

• This reduction is done in a general, non-supersymmetric setup, in which we extend concepts of BPS black hole technology.
• First of all we obtain a more general form of the black hole potential, as part of an effective action for both the scalars and the vectors in the supergravity theory.
• Furthermore, we show that there are extra constraints specifying the solution, which we calculate explicitly.