Lectures on Gravitational Wave Signatures of Primordial Black Holes

TL;DR

This paper offers a comprehensive pedagogical overview of gravitational wave signals from primordial black holes, emphasizing scalar induced gravitational waves, their properties, and current research issues in cosmology.

Contribution

It provides detailed educational material and practical exercises on gravitational waves related to primordial black holes, enhancing understanding and facilitating independent research.

Findings

Highlights key properties of scalar induced gravitational waves

Discusses current issues in secondary gravitational wave research

Includes exercises and public codes for practical understanding

Abstract

We provide a pedagogical approach to gravitational waves in cosmology with focus on gravitational wave signals related to primordial black holes. These lectures notes contain more details than one is able to present in the two two-hour lectures they are meant to and, as such, they should be thought as a complementary material. The main aim of these lectures is that, by the end, one obtains a certain degree of intuition on gravitational waves in cosmology and understands the basic features of scalar induced gravitational waves. We also highlight must-check properties of induced gravitational waves as well as current issues regarding secondary gravitational waves in cosmology. Throughout the lecture we provide exercises, supplementary information and activities with public codes to be ready to derive your own results.