MOTA, C. E.; http://lattes.cnpq.br/8864982972747540; MOTA, Clésio Evangelista.
Resumo:
The solutions of the General Theory of Relativity (TRG) Equations for a Universe
in expansion were first obtained by Alexander Friedmann. He observed
the possibility of the existence of a dynamic Universe, whose behavior would depend
exclusively on how matter and energy were distributed. In this job,
we discussed the deduction of Friedmann's equations, studying some important bases
for the understanding and development of Modern Cosmology. Using an action called Einstein - Hilbert as the path, we find the TRG field equations.
We rewrote the field equations of Gravitation in the Friedmann - Robertson metric
- Walker (FRW), where we get two expressions: one of them of the information about the acceleration of the Universe in terms of energy density p and pressure p; the other shows the
evolution of the Hubble H parameter in terms of the energy density p and the constant
curvature k. They are known as Friedmann's Equations. We insert an example
simplest of a scalar field Ø at Friedmann's equators using the
energy tensor - moment, considering a universe dominated by Dark Energy. THE
from this, it was possible to obtain the energy density, pressure and the equation of motion
of the