On the Energy-Momentum Flux in G\"{o}del-type Models
S. C. Ulhoa, A. F. Santos, R.G.G. Amorim
TL;DR
This paper investigates the energy-momentum flux in G"odel-type solutions within TEGR, focusing on gravitational pressure and its relation to fluid pressure using a stationary observer framework.
Contribution
It introduces a method to compute gravitational pressure in G"odel-type models within TEGR, linking it to fluid pressure and clarifying the role of gravitational flux.
Findings
Derived expressions for gravitational pressure in G"odel-type models.
Identified the relationship between gravitational and fluid pressure.
Provided a framework for analyzing energy-momentum flux in these models.
Abstract
In this paper we work in the context of Teleparallelism Equivalent to General Relativity (TEGR) in order to construct the energy-momentum flux for G\"odel-type solutions of Einstein's equations. We use an stationary observer, which is settled by the tetrad choice, to obtain the gravitational pressure for each direction of space in cartesian coordinates. Then we write down the total pressure for each direction in terms of the pressure of the fluid, thus we are able to identify role of the gravitational pressure.
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