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We derive evolution and constraint equations for second order perturbations of flat dust homogeneous and isotropic solutions to the Einstein field equations using all scalar, vector and tensor perturbation modes. We show that the…

Mathematical Physics · Physics 2015-05-19 Filipe C. Mena

The Euclidean or Bunch-Davies O(4,1) invariant 'vacuum' state of quantum fields in global de Sitter space is shown to be unstable to small perturbations, even for a massive free field with no self-interactions. There are perturbations of…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Paul R. Anderson , Emil Mottola

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Yanwen Shang

We prove a no charged scalar hair theorem for static black holes in de-Sitter spacetime in the region between the event horizon and the cosmological horizon. The proof does not depend on the assumption of spherical symmetry. It allows for…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Yu-Ping An , Li Li

The gravitational entropy and no-hair conjectures seems to predict contradictory future states of our Universe. The growth of the gravitational entropy is associated with the growth of inhomogeneity, while the no-hair conjecture argues that…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Krzysztof Bolejko

In this paper I continue the investigation in \cite{1,1b} concerning my proposal on the nature of the cosmological constant. In particular, I study both mathematically and physically the quantum Planckian context and I provide, in order to…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Stefano Viaggiu

We quantize linearized Einstein-Hilbert gravity on de Sitter backgrounds in a covariant gauge. We verify the existence of a maximally-symmetric (i.e.de Sitter-invariant) Hadamard state $\Omega$ for all globally hyperbolic de Sitter…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Ian A. Morrison

A well-established result in quantum field theory in four-dimensional de Sitter space is that the vacuum state of a massless scalar field breaks the de Sitter isometry group, leading to time-dependent (secular) growth in correlation…

High Energy Physics - Theory · Physics 2025-09-09 Gonzalo A. Palma , Spyros Sypsas , Danilo Tapia

We consider implications of the quantum extension of the inflationary no hair theorem. We show that when the quantum state of inflation is picked to ensure the validity of the EFT of fluctuations, it takes only ${\cal O}(10)$ efolds of…

High Energy Physics - Theory · Physics 2019-05-24 Nemanja Kaloper , James Scargill

We propose a model of cosmological evolution of the early and late Universe which is consistent with observational data and naturally explains the origin of inflation and dark energy. We show that the de Sitter accelerated expansion of the…

General Physics · Physics 2015-06-03 Leonid Marochnik , Daniel Usikov

The de Sitter conjecture yields a severe bound on possible vacua for a consistent quantum gravity. We extend the de Sitter conjecture by taking into account dynamics of the scalar field. We then apply such an extended de Sitter conjecture…

High Energy Physics - Theory · Physics 2025-12-30 Muneto Nitta , Kunihito Uzawa

The quantum states or Hilbert spaces for the quantum field theory in de Sitter space-time are studied on ambient space formalism. In this formalism, the quantum states are only depended $(1)$ on the topological character of the de Sitter…

General Relativity and Quantum Cosmology · Physics 2016-07-27 M. V. Takook

Recent no-go theorems have ruled out four-dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well-defined Wilsonian effective action and other related phenomena also appear to rule out such…

High Energy Physics - Theory · Physics 2024-10-08 Stephon Alexander , Keshav Dasgupta , Archana Maji , P. Ramadevi , Radu Tatar

We show that global de Sitter space is unstable to particle creation, even for a massive free field theory with no self-interactions. The O(4,1) de Sitter invariant state is a definite phase coherent superposition of particle and…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Paul R. Anderson , Emil Mottola

We discuss a new scenario for early cosmology when the inflationary de Sitter phase emerges dynamically. This genuine quantum effect occurs as a result of dynamics of the topologically nontrivial sectors in a strongly coupled QCD- like…

High Energy Physics - Phenomenology · Physics 2015-08-26 Ariel R. Zhitnitsky

We analyze a simple extension of the Schwinger model, which we refer to as the $p$-Schwinger model, on a de Sitter background. In this theory, the charged massless fermions carry non-unit integer charge $p$. In Minkowski space, the…

High Energy Physics - Theory · Physics 2026-05-05 Jeremias Aguilera-Damia , Dionysios Anninos , Tarek Anous , Johnny Gleeson , Alan Rios Fukelman

Free scalar fields in de Sitter space have a one-parameter family of states invariant under the de Sitter group, including the standard thermal vacuum. We show that, except for the thermal vacuum, these states are unphysical when…

High Energy Physics - Theory · Physics 2009-11-07 Nemanja Kaloper , Matthew Kleban , Albion Lawrence , Stephen Shenker , Leonard Susskind

Backreactions are considered in a de Sitter spacetime whose cosmological constant is generated by the potential of scalar field. The leading order gravitational effect of nonlinear matter fluctuations is analyzed and it is found that the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 B. Losic , W. G. Unruh

Cosmology might turn out to be the study of fluctuations around a "de Sitter equilibrium" state. In this article I review the basic ideas and the attractive features of this framework, and respond to a number common questions raised about…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Andreas Albrecht

In this paper we study a new symmetry argument that results in a vacuum state with strictly vanishing vacuum energy. This argument exploits the well-known feature that de Sitter and Anti- de Sitter space are related by analytic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Gerard 't Hooft , Stefan Nobbenhuis