The metric of general rotating spacetimes

TL;DR

This paper introduces a general metric for rotating spacetimes that are stationary, axially symmetric, and asymptotically flat, applicable to objects like black holes and celestial bodies, with metric functions expanded in power series.

Contribution

It provides a new, generalized metric formulation for rotating spacetimes, including expansions in distance and angle variables, applicable to various astrophysical objects.

Findings

The metric applies to rotating black holes and celestial bodies.

Metric functions are expanded in power series of distance.

Includes angular dependence in the expansion coefficients.

Abstract

We propose the metric for general rotating spacetimes. These spacetimes are stationary, axially symmetric and spatially asymptotically flat. They can be the spacetimes outside of rotating black holes or rotating celestial bodies such as the Sun and the Earth. The metric functions are expanded in power series of distance and the angle variable is included in the expansion coefficients.