Cumulative Dragging - An Intrinsic Characteristic of Stationary Axisymmetric Spacetime

TL;DR

This paper generalizes the Cumulative Drag Index to include centrifugal acceleration and analyzes its behavior in Kerr and Neugebauer-Meinel metrics, revealing it as an intrinsic property of rotating spacetimes.

Contribution

It extends the Cumulative Drag Index to include centrifugal effects and demonstrates its intrinsic nature across different rotating spacetime models.

Findings

Index behavior is similar in full and approximate models.

Index analysis suggests constraints on parameters.

Index characterizes intrinsic rotation properties of spacetime.

Abstract

The Cumulative Drag Index defined recently by Prasanna has been generalised to include the centrifugal acceleration. We have studied the behaviour of the drag index for the Kerr metric and the Neugebauer-Meinel metric representing a self-gravitating rotating disk and their Newtonian approximations. The similarity of the behaviour of the index for a given set of parameters both in the full and approximated forms, suggests that the index characterises an intrinsic property of spacetime with rotation. Analysing the index for a given set of parameters shows possible constraints on them.