4–9 Dec 2022
Africa/Cairo timezone
Virtual Conference on Gravitational Physics and Cosmology

The Gravitational Memory Effect

GPA22-36
5 Dec 2022, 13:00
30m

Speaker

Ms DEESHANI MITRA (St Xavier's College(Autonomous),Kolkata)

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.

$${\Delta{h^{TT}_{jk}}=\triangle{{\sum_{A=1}^{N}}}{\frac{4M_{A}}{r{\sqrt{1-v^{2}_{A}}}}[\frac{v^{j}_{A}v^{k}_{A}}{1-{{v_{A}.N}}}]^{TT}}}$$ (3)Then we try to examine the memory effect for the individual radiated neutrinos\cite{mukhopadhyay2021memory} $$ {h^{xx}_{TT}}={h(r,t)}={{\frac{2G}{rc^{4}}}{\int^{t-r/c}_{{-\infty}}}dt'L_{\nu}(t'){\alpha(t')}}$$,where c is the speed of light, t is the time post bounce and G is the universal gravitational constant. ${L_{\nu}} $ is the all-flavors neutrino luminosity $\alpha$ is the time-varying anisotropy parameter as mentioned in \cite{mukhopadhyay2021neutrino}
(4) Then we will discuss briefly about the introduction of non linear memory effect.

Primary author

Ms DEESHANI MITRA (St Xavier's College(Autonomous),Kolkata)

Presentation materials