#### Submission Title

029— Calculating Gravitational Waves in a Black Hole Binary System

#### Submission Type

Poster

#### Start Date

4-26-2021

#### Abstract

Our ultimate goal is to compute the gravitational waves in an extreme mass-ratio binary system. Since gravitational perturbations are difficult to calculate, we model the compact object as a point carrying a scalar charge q and moving around a spinning black holes.

In this project, we take advantage of symmetry under rotation around the spin axis in order to separate φ variables and leverage the periodicity of the source to separate t variable with a Fourier series. The remaining differential equations will be solved numerically with an appropriate discretization considering a grid of points in r-θ plane

#### Recommended Citation

Nishimura, Nami, "029— Calculating Gravitational Waves in a Black Hole Binary System" (2021). *GREAT Day*. 47.

https://knightscholar.geneseo.edu/great-day-symposium/great-day-2021/posters-2021/47

029— Calculating Gravitational Waves in a Black Hole Binary System

Our ultimate goal is to compute the gravitational waves in an extreme mass-ratio binary system. Since gravitational perturbations are difficult to calculate, we model the compact object as a point carrying a scalar charge q and moving around a spinning black holes.

In this project, we take advantage of symmetry under rotation around the spin axis in order to separate φ variables and leverage the periodicity of the source to separate t variable with a Fourier series. The remaining differential equations will be solved numerically with an appropriate discretization considering a grid of points in r-θ plane

## Comments

Sponsored by Thomas Osburn