The solutions to the linearized Einstein equation in de Sitter spacetime are explicitly written
down. Their group-theoretical properties are examined with an emphasis on the way these …

For pt. I see ibid., vol. 8, no. 11, p. 1961 (1991). The requirement of de Sitter invariance of
physical states in linearized gravity in de Sitter spacetime leads to an apparent paradox …

It is known that all the physical states in linearized gravity are required to be invariant under
the continuous isometries of the background spacetime if it is spatially compact. For …

The effects of de Sitter transformations on linearized quantum gravity in a de Sitter space
background are worked out explicitly. It is shown that the linearized solutions are closed …

We demonstrate that the linearized Einstein gravity in de Sitter (dS) spacetime besides the
evident symmetries also possesses the additional (local) symmetry h μ ν→ h μ ν+ E μ ν χ …

Three classes of constant curvature solutions to Einstein's equations with bare cosmological
constant Λ0 coupled to N conformally invariant quantum fields are found: the semiclassical …

The local geometrical structure of general relativity is analyzed in detail from the standpoint
of a formulation of gravity as a gauge theory of the de Sitter group SO (3, 2). In order to …

The graviton propagator in a de Sitter background is found to be divergent. We show that as
a consequence of this divergence, de Sitter space is not a solution of the equations of …

As recent observational data clearly favors a positive acceleration of the present universe,
the de Sitter dS model represents an appealing first approximation of the background space …

We discuss quantizing the perturbations of a symmetrical background space-time and are
led to study the quantum analogue of linearization instabilities. We outline the derivation of …