Seminar by Alec Yonika

 

 

Talk time and date:

Jan 11th at 11:30 AM in Nicholson 241

 

 

 

 

 

 

 

 

Title: Numerical Analysis of the Schwarzschild Interior

Abstract: Loop quantum cosmology (LQC) is a theory attempting to unite the fields of quantum theory and general relativity. In these unification attempts, LQC takes the continuous spacetime of general relativity and makes it discrete. This discretization yields some interesting results; namely, the emergence of finite-difference (FD) equations where partial difference equations usually present. FD equations present some opportunities for analysis that are not normally present. This opportunity is that of numerical analysis. Largely, numerical analysis of LQC schemes has been ignored. To rectify this, we present a method of analyzing LQC schemes. We take the example of the scheme presented in Corichi and Singh [1]. However, the methods presented herein may be used in the general case.