# Spherical Radiation as a Model for Gravitational Waves

Dr. Thomas Osburn. Physics & Astronomy Department at SUNY Geneseo

#### Abstract

Our ultimate goal is to model the dynamics of a compact object orbiting a large black hole. However, there is no known exact solution to the Einstein field equation and it requires application of numerous mathematical techniques. Therefore, in this project, we seek to solve the simple differential equation called wave equation in spherical coordinate. This model is analogous to Einstein’s field equation for a black hole binary system and by obtaining a three dimensional wave equation, we take a step toward a theoretical model of gravitational waves from astronomical sources

*This paper has been withdrawn.*

Spherical Radiation as a Model for Gravitational Waves

Our ultimate goal is to model the dynamics of a compact object orbiting a large black hole. However, there is no known exact solution to the Einstein field equation and it requires application of numerous mathematical techniques. Therefore, in this project, we seek to solve the simple differential equation called wave equation in spherical coordinate. This model is analogous to Einstein’s field equation for a black hole binary system and by obtaining a three dimensional wave equation, we take a step toward a theoretical model of gravitational waves from astronomical sources