A New Rotating Metric that Generalizes the Yilmaz Exponential Metric

TL;DR

This paper introduces a novel rotating metric that extends the Yilmaz exponential metric, incorporating rotation and maintaining key parameters like mass and angular momentum, thus broadening the understanding of rotating spacetime geometries.

Contribution

The authors derive a new ellipsoidally symmetric rotating metric that generalizes the Yilmaz exponential metric, using Dadhich's technique, and reduces to the original when rotation is zero.

Findings

The new metric incorporates rotation with only two free parameters.

It reduces to the Yilmaz exponential metric in the non-rotating limit.

The metric shares properties with the Kerr metric, such as having two free parameters.

Abstract

Using a technique due to Dadhich, we derive an ellipsoidally symmetric rotating metric which reduces to the Yilmaz exponential metric when the rotation parameter is set to zero. Like the Kerr metric, this new metric has only two free parameters, mass and angular momentum.