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Increasing astronomical evidence indicates that the expansion of the universe is accelerating. By simply solving Einstein equations we show in this letter that a wide class of generic quintessence models leading to eternal acceleration is…

Astrophysics · Physics 2009-11-07 Pedro F. González-Díaz

We study the braneworld theory constructed by multi scalar fields. The model contains a smooth and infinitely large extra dimension, allowing the background fields propagating in it. We give a de Sitter solution for the four-dimensional…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Dong-Yu Li , Zhao-Xiang Wu , Hao Hu , Bao-Min Gu

Minkowski spacetime is transitive under ordinary translations, a transformation that do not have matrix representations. The de Sitter spacetime, on the other hand, is transitive under a combination of translations and proper conformal…

General Relativity and Quantum Cosmology · Physics 2014-02-20 J. G. Pereira , A. C. Sampson , L. L. Savi

Over the years, de Sitter spacetime has been a central focus, in studies involving quantum fields, for its importance in the early and late expansion stages of the universe. While de Sitter spacetime closely mimics characteristics of the…

General Relativity and Quantum Cosmology · Physics 2021-07-12 Sujoy K. Modak

We review various aspects of de Sitter spacetime in string theory: its status as an effective field theory spacetime solution, its relation to the vacuum energy problem in string theory, its (global) holographic definition in terms of two…

High Energy Physics - Theory · Physics 2023-08-30 Per Berglund , Tristan Hübsch , Djordje Minic

The decay rate of the Bunch-Davies state of a massive scalar field in the expanding flat spatial sections of de Sitter space is determined by an analysis of the particle pair creation process in real time. The Feynman definition of particle…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Paul R. Anderson , Emil Mottola , Dillon H. Sanders

Some general remarks are made about the quantum theory of scalar fields and the definition of momentum in curved space. Special emphasis is given to field theory in anti-de Sitter space, as it represents a maximally symmetric space-time of…

High Energy Physics - Theory · Physics 2008-02-03 Simon Davis

Many different forms of the de Sitter metric in different coordinate systems are used in the general relativity literature. Two of them are the most common, the static form and the cosmological (exponentially expanding) form. The staticity…

General Relativity and Quantum Cosmology · Physics 2015-04-01 M. Nouri-Zonoz , J. Koohbor , H. Ramezani-Aval

Starting from the equation of motion of the quantum operator of a real scalar field phi in de Sitter space-time, a simple differential equation is derived which describes the evolution of quantum fluctuations <phi^2> of this field. Full de…

High Energy Physics - Theory · Physics 2009-11-11 Alexander Dolgov , Diego N. Pelliccia

The dynamical generation of a four-dimensional classical universe from nothing but fundamental quantum excitations at the Planck scale is a long-standing challenge to theoretical physicists. A candidate theory of quantum gravity which…

High Energy Physics - Theory · Physics 2009-01-08 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

We investigate the matter-antimatter properties of elementary systems, modeled as free quantum fields, within the global structure of de Sitter spacetime. By leveraging the distinctive causal and analytic properties of de Sitter spacetime,…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Jean-Pierre Gazeau , Hamed Pejhan

Vacuum decay in de Sitter space is a process of great physical interest, as it allows to rule out cosmological models in the early and current Universe. Its rate may be described in terms of an instanton in Euclidean space called bounce and…

General Relativity and Quantum Cosmology · Physics 2022-05-24 Silvia Vicentini

The $S$-matrix formulation indicates that a consistent embedding of de Sitter state in quantum gravity is possible exclusively as an excited quantum state constructed on top of a valid $S$-matrix vacuum such as Minkowski. In the present…

High Energy Physics - Theory · Physics 2025-06-12 Lasha Berezhiani , Gia Dvali , Otari Sakhelashvili

We obtain conditions for the existence and stability of de Sitter attractors in the phase space of spatially homogeneous and isotropic cosmology in generalized theories of gravity (including non-linear and scalar-tensor theories). These…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Valerio Faraoni

We demonstrate that possession of a single negative mode is not a sufficient criterion for an instanton to mediate exponential decay. For example, de Sitter space is generically stable against decay via the Coleman-De Luccia instanton. This…

High Energy Physics - Theory · Physics 2011-10-12 Benjamin Shlaer

In the present lore of cosmology, matter and space-time emerged from a singularity and evolved through four different regimes: inflation, radiation, dark matter and dark energy dominated eras. In the radiation and dark matter dominated…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-13 J. A. S. Lima , S. Basilakos

Classical results and recent developments on the theoretical description of elementary particles with "continuous" spin are reviewed. At free level, these fields are described by unitary irreducible representations of the isometry group…

High Energy Physics - Theory · Physics 2017-09-13 Xavier Bekaert , Evgeny D. Skvortsov

It is shown that, when f'' is non-vanishing, metric f(R) gravity is completely equivalent to a scalar-tensor theory (with zero Brans-Dicke parameter) with respect to perturbations of de Sitter space, contrary to previous expectations.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valerio Faraoni

We investigate the phenomenon of particle production in a Friedmann-Robertson-Walker universe which contains a phase of de Sitter expansion for a finite interval, outside which it reduces to the flat Minkowski spacetime. We compute the…

High Energy Physics - Theory · Physics 2017-01-24 Victor E. Ambrus

We analyze the large-order behavior of the perturbative weak-field expansion of the effective Lagrangian density of a massive scalar in de Sitter and anti de Sitter space, and show that this perturbative information is not sufficient to…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Gerald V. Dunne
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