Einstein's Equations, Cosmology and Astrophysics

TL;DR

This paper provides a clear overview of general relativity's role in cosmology and astrophysics, discussing uniform models, spherically symmetric equations, and emerging ideas like extra dimensions.

Contribution

It offers a pedagogical review with new insights into extra dimensions and their implications for cosmology and astrophysics.

Findings

Discussion of the cosmological constant in uniform models

Simplified equations for spherically symmetric systems

Introduction of new research ideas involving extra dimensions

Abstract

I give a compact, pedagogical review of our present understanding of the universe as based on general relativity. This includes the uniform models, with special reference to the cosmological 'constant'; and the equations for spherically-symmetric systems, in a particularly convenient form that aids their application to astrophysics. New ideas in research are also outlined, notably involving extra dimensions.