# Constructing black hole solutions in supergravity theories

## TL;DR

This paper provides a comprehensive analysis of black hole solutions in supergravity theories, including ungauged and gauged models, with explicit examples and a review of related geometric structures.

## Contribution

It offers a detailed construction of black hole solutions in supergravity, including the gauging procedure and explicit models like the STU-model, advancing understanding of their physical properties.

## Key findings

- Explicit black hole solutions in ungauged supergravity models.
- Gauging procedure using embedding tensor formalism.
- Analysis of black holes in gauged supergravity, including the $\mathcal{N}=2$, $D=4$ case.

## Abstract

We perform a detailed analysis of black hole solutions in supergravity models. After a general introduction on black holes in general relativity and supersymmetric theories, we provide a detailed description of ungauged extended supergravities and their dualities. Therefore, we analyze the general form of black hole configurations for these models, their near-horizon behavior and characteristic of the solution. An explicit construction of a black hole solution with its physical implications is given for the STU-model. The second part of this review is dedicated to gauged supergravity theories. We describe a step-by-step gauging procedure involving the embedding tensor formalism, to be used to obtain a gauged model starting from an ungauged one. Finally, we analyze general black hole solutions in gauged models, providing an explicit example for the $\,\mathcal{N}=2$, $\,D=4$ case. A brief review on special geometry is also provided, with explicit results and relations for supersymmetric black hole solutions.