Carter Constant its Relativistic and Non Relativistic Application

Mukherjee, Sajal (2015) Carter Constant its Relativistic and Non Relativistic Application. Masters thesis, Indian Institute of Science Education and Research Kolkata.

PDF (MS thesis of Sajal Mukherjee (13IP029)) Sajal_Mukherjee-13IP029.pdf - Submitted Version Restricted to Repository staff only Download (347kB)

Abstract

The present work investigates carter constant and its application in both relativistic and non relativistic background.Carter constant is roughly the deviation from Total Angular Momentum and some cases it is nothing but the total angular momentum.our first inves- tigation starts with a classical counterpart of carter constant,then it continues to Kerr black hole.Classically it is found in Electric dipole and in any axially symmetrical poten- tial.Leading towards relativistic regime first we probe into Schwarzschild Metric,and then into Kerr black hole.Both the cases gives rise to some similar form of constant.Now an investigation provided by Penrose and Walker gives an idea of Killing Tensor associated with every Petrov-D classification which gives rise to an conserved quantity. Second part of that article attribute to the separability of Einstein equation,and its con- nection with killing tensor.we have used Geroch Formalism for this purpose.This problem is not completed yet. Our next and final investigation will lead us to another aspect of Carter constant,non equatorial Penrose Process.Here we need to consider this constant,which is 0 for equatorial case.We discuss only the equatorial case.

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