Title of article :
Bulk Viscous Bianchi Type V I0 Cosmological Model in the Self-creation Theory of Gravitation and in the General Theory of Relativity
Author/Authors :
Hegazy, E.A Mathematics Department - Faculty of Science - Minia University, 61519 El-Minia, Egypt
Abstract :
In the second self-creation theory of gravitation and in the general theory
of relativity, Bianchi type V I0 cosmological model in the presence of viscous
uid is
studied. An exact solution of the field equations is given by considering the cosmological
model yields a constant decelerations parameter q=constant and the coecoffcients of the
metric are taken as A(t) = [c1t + c2]
3L
(q+1)(L+1) ; B(t) = [c1t + c2]
3
2(q+1)(L+1) ; C(t)=
[c1t + c2]
3
2(q+1)(L+1) ,where c1; c2 and L are constants . Effiect of the viscosity on the
entropy of the universe is given by a composition of the second law of thermodynamics
with the the energy momentum tensor Ti
j with bulk viscous term in a conservative
manner. We obtained a formula for calculating the entropy of the universe in term of
the viscosity and used it to study and compare the Entropy, Enthalpy, Gibbs energy
and Helmholtz energy of the universe in the presence of viscosity term in the self-
creation theory of gravitation and in the general theory of relativity. The physical and
geometrical properties of the obtained models are discussed.
Keywords :
Entropy , Viscosity , Bianchi type VI0 cosmological models , Einstein field equations , General theory of relativity