Speaker
Description
In this dissertation we intend to study the background related to the memory effect that leads to "gravitational-wave memory effect" and two types of memory effect:(1) We intend to study a whole outline of what is memory effect.(2) We intend to solve the linear memory for N Gravitationally Unbound Particles where we will study different kinds of spherical harmonics,mass quadrapole leading to linear memory effect.\begin{equation}
\boxed{ {\Delta{h^{TT}{jk}}}=\triangle{{\sum{A=1}^{N}}}{\frac{4M_{A}}{r{\sqrt{1-v^{2}{A}}}}[\frac{v^{j}{A}v^{k}{A}}{1-{{v{A}.N}}}]^{TT}}}
\end{equation}(3)Then we try to examine the memory effect for the individual radiated neutrinos\cite{mukhopadhyay2021memory}
\begin{equation}
{h^{xx}{TT}}={h(r,t)}={\frac{2G}{rc^{4}}{\int^{t-r/c}{{-\infty}}}dt'L_{\nu}(t')}{\alpha(t')}
\end{equation}
(4) Then we will discuss briefly about the introduction of non linear memory effect.
