… field theory in two-dimensional de Sitter spacetime. (There is … invariance under the de Sitter
group in two dimensions, SO(2, l… linearized gravity in four-dimensional de Sitter spacetime, …

… Finally, it will be very interesting to incorporate nonlinear effects (ie, interactions) and
construct (tree-level) perturbative quantum gravity in de Sitter spacetime using the Hilbert space …

… is any quantum analog for the classical problem of linearization instabilities described above.
… state of the radiation is invariant under the transformations of the de Sitter group. To study …

… (This is a consequence of imposing linearization stability conditions [3-101 in quantum …
states in de Sitter spacetime are required to be invariant under the de Sitter group, SO(4,l) [2]. …

… These latter include the relationship of linearization stability … of the quantum analogue of
the linearization stability problem … first order gravitational perturbations of de Sitter space [2]. …

… models of gravity in cosmological space-times that asymptote to de Sitter (dS) space in the
… Higuchi, “Quantum linearization instabilities of de Sitter space-time. 2,” Class. Quant. Grav. …

… linearization instabilities can be avoided by assuming strict de Sitter invariance of the quantum
states of the linearized … II A and II B we outline our classical gauge-fixing procedure for the …

… static universe background. I show that a linearization instability occurs in Einstein static
spacetimes despite the … In the second, I examine the importance of second order corrections to …

… stability theorems of Freidrich [19] and Anderson [20]. We emphasize that this result holds in
linearized quantum … We begin in §2 by introducing preliminary material needed for our study…

… In this work we will develop a different approach to calculation of the quantum average
value of φ 2 in de Sitter space. We will derive an ordinary differential equation governing the …