An approximate global stationary axisymmetric solution of the Einstein equations
J. Martin-Martin, A. Molina, E. Ruiz
TL;DR
This paper presents an approximate solution to Einstein's equations modeling the gravitational field of a rotating, axisymmetric, self-gravitating body, contributing to understanding complex gravitational systems.
Contribution
It introduces a novel approximate global solution for the Einstein equations tailored to rotating, axisymmetric bodies, advancing theoretical modeling in general relativity.
Findings
Provides an explicit approximate metric for rotating bodies.
Enhances understanding of gravitational fields in stationary, axisymmetric systems.
Lays groundwork for more accurate astrophysical modeling.
Abstract
In this work we present an approximate solution of the Einstein equations describing a global model for the gravitational field generated by a bounded, self-gravitating stationary and axisymmetric body rotating rigidly with constant angular velocity.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic and Geometric Analysis · Cosmology and Gravitation Theories