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We examine models in which the accelerated expansion of the universe is driven by a scalar field rolling near an inflection point in the potential. For the simplest such models, in which the potential is of the form V(\phi) = V_0 + V_3…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Hui-Yiing Chang , Robert J. Scherrer

We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we compute dynamical properties of the static patch de Sitter…

High Energy Physics - Theory · Physics 2023-01-31 Dionysios Anninos , Damián A. Galante , Beatrix Mühlmann

It is well known that all curvature invariants of the order zero vanish for type-III and type-N vacuum spacetimes. We briefly summarize properties of higher order curvature invariants for these spacetimes.

General Relativity and Quantum Cosmology · Physics 2017-08-23 V. Pravda , J. Bicak

We employ the semiclassical approximation to the Wheeler-DeWitt equation in the spatially flat de Sitter Universe to investigate the dynamics of a minimally coupled scalar field near the Planck scale. We find that, contrary to naive…

General Relativity and Quantum Cosmology · Physics 2008-11-07 Corrado Appignani , Roberto Casadio

In this work we show that universal gauge vector fields can be localized on the recently proposed 5D thick tachyonic braneworld which involves a de Sitter cosmological background induced on the 3-brane. Namely, by performing a suitable…

High Energy Physics - Theory · Physics 2014-04-22 Alfredo Herrera-Aguilar , Alma D. Rojas , Eli Santos-Rodriguez

Motivated by the possibility to use Bose-Einstein condensates as quantum simulators for spacetime curvature, we study a massless relativistic scalar quantum field in spatially curved Friedmann-Lema\^itre-Robertson-Walker universes with…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Natalia Sánchez-Kuntz , Álvaro Parra-López , Mireia Tolosa-Simeón , Tobias Haas , Stefan Floerchinger

Quasinormal modes describe the relaxation of perturbed black holes and relate ringdown observables to the background geometry. In this work we study the problem in a de Sitter setting within a generalized Proca branch that generates an…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zainab Malik

We investigate a natural analog to Lutwak's $p$-affine surface area in $d$-dimensional spherical, hyperbolic and de Sitter space. In particular, we show that these curvature measures appear naturally as the volume derivative of floating…

Metric Geometry · Mathematics 2023-11-07 Florian Besau , Elisabeth M. Werner

We put forward new explicit realisations of dS/CFT that relate ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific supersymmetric Vasiliev theories in four-dimensional de Sitter…

High Energy Physics - Theory · Physics 2025-03-13 Thomas Hertog , Gabriele Tartaglino-Mazzucchelli , Thomas Van Riet , Victoria Venken

Quantum fluctuations for a massless scalar field in the background metric of spherical impulsive gravitational waves through Minkowski and de Sitter spaces are investigated. It is shown that there exist finite fluctuations for de Sitter…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Y. Enginer , M. Hortacsu , N. Ozdemir

We discuss a gauge invariant approach to the theory of cosmological perturbations in a higher-dimensonal background. We find the normal modes which diagonalize the perturbed action, for a scalar field minimally coupled to gravity, in a…

General Relativity and Quantum Cosmology · Physics 2010-04-30 M. Gasperini , M. Giovannini

The generic embedding of the $R+R^2$ higher curvature theory into old-minimal supergravity leads to models with rich vacuum structure in addition to its well-known inflationary properties. When the model enjoys an exact R-symmetry, there is…

High Energy Physics - Theory · Physics 2015-06-23 I. Dalianis , F. Farakos , A. Kehagias , A. Riotto , R. von Unge

We study a scalar field on a noncommutative model of spacetime, the fuzzy de Sitter space, which is based on the algebra of the de Sitter group $SO(1,d)$ and its unitary irreducible representations. We solve the Klein-Gordon equation in…

High Energy Physics - Theory · Physics 2024-03-19 Bojana Brkic , Ilija Buric , Maja Buric , Dusko Latas

In this paper we study the effects of quantum scalar field vacuum fluctuations on scalar test particles in an analog model for the Friedmann-Robertson-Walker spatially flat geometry. In this scenario, the cases with one and two perfectly…

High Energy Physics - Theory · Physics 2017-05-03 C. H. G. Bessa , V. B. Bezerra , E. R. Bezerra de Mello , H. F. Mota

In de Sitter ambient space formalism, the linear gravity can be written in terms of a minimally coupled scalar field and a polarization tensor. In this formalism, the massless minimally coupled scalar field can be quantized on Bunch-Davies…

General Relativity and Quantum Cosmology · Physics 2017-08-21 M. V. Takook , S. Rouhani

We investigate a recent proposal for a distinguished vacuum state of a free scalar quantum field in an arbitrarily curved spacetime, known as the Sorkin-Johnston (SJ) vacuum, by applying it to de Sitter space. We derive the associated…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Siavash Aslanbeigi , Michel Buck

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

We show how quantum fields can be used to measure the curvature of spacetime. In particular, we find that knowledge of the imprint that spacetime curvature leaves in the correlators of quantum fields suffices, in principle, to reconstruct…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Mehdi Saravani , Siavash Aslanbeigi , Achim Kempf

The phase structure associated with the chiral symmetry is thoroughly investigated in de Sitter spacetime in the supersymmetric Nambu-Jona-Lasinio model with supersymmetry breaking terms. The argument is given in the three and four…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Hashida , S. Mukaigawa , T. Muta , K. Ohkura , K. Yamamoto

We show that the vacuum energy of a free quantized field of very low mass can significantly alter the recent expansion of the universe. The effective action of the theory is obtained from a non-perturbative sum of scalar curvature terms in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Leonard Parker , Alpan Raval