1,468 research outputs found
Testing some f(R,T) gravity models from energy conditions
We consider theory of gravity, where is the curvature scalar
and the trace of the energy momentum tensor. Attention is attached to the
special case, and two expressions are assumed for the
function , and ,
where , , , , , , , and are input
parameters. We observe that by adjusting suitably these input parameters,
energy conditions can be satisfied. Moreover, an analyse of the perturbations
and stabilities of de Sitter solutions and power-law solutions is performed
with the use of the two models. The results show that for some values of the
input parameters, for which energy conditions are satisfied, de Sitter
solutions and power-law solutions may be stables.Comment: 25 pages, 6 figures. Accepted for publication in Journal of Modern
Physcis (JMP
Troubles with quantum anistropic cosmological models: Loss of unitarity
The anisotropic Bianchi I cosmological model coupled with perfect fluid is
quantized in the minisuperspace. The perfect fluid is described by using the
Schutz formalism which allows to attribute dynamical degrees of freedom to
matter. A Schr\"odinger-type equation is obtained where the matter variables
play the role of time. However, the signature of the kinetic term is
hyperbolic. This Schr\"odinger-like equation is solved and a wave packet is
constructed. The norm of the resulting wave function comes out to be time
dependent, indicating the loss of unitarity in this model. The loss of
unitarity is due to the fact that the effective Hamiltonian is hermitian but
not self-adjoint. The expectation value and the bohmian trajectories are
evaluated leading to different cosmological scenarios, what is a consequence of
the absence of a unitary quantum structure. The consistency of this quantum
model is discussed as well as the generality of the absence of unitarity in
anisotropic quantum models.Comment: Latex file, 18 pages. To appear in General Relativity and Gravitatio
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