Homogeneous cosmologies from the quasi-Maxwell formalism
Joao Costa, Jose Natario
TL;DR
This paper demonstrates how to derive solutions to Einstein's field equations for homogeneous cosmologies using the quasi-Maxwell formalism, focusing on Einstein's universe, Godel's universe, and Ozsvath-Farnsworth-Kerr class I solutions in stationary frames.
Contribution
It introduces a method to obtain homogeneous cosmological solutions via the quasi-Maxwell formalism in stationary observer frames.
Findings
Derived explicit solutions for Einstein's universe, Godel's universe, and Ozsvath-Farnsworth-Kerr class I.
Showed the applicability of the quasi-Maxwell formalism to homogeneous cosmologies.
Provided a unified approach to analyze these cosmologies in stationary frames.
Abstract
We show how to use the quasi-Maxwell formalism to obtain solutions of Einstein's field equations corresponding to homogeneous cosmologies - namely Einstein's universe, Godel's universe and the Ozsvath-Farnsworth-Kerr class I solutions - written in frames for which the associated observers are stationary.
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