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The back reaction of gravitational perturbations in a homogeneous background is determined by an effective energy-momentum tensor quadratic in the perturbations. We show that this nonlinear feedback effect is important in the case of long…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. R. Abramo , R. H. Brandenberger , V. M. Mukhanov

We study in a Brill-Hartle type of approximation the back-reaction of a superposition of linear gravitational waves in an Einstein-de Sitter background up to the second order in the small wave amplitudes $h_{ik}$. The wave amplitudes are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Dautcourt

The Wightman function and the vacuum expectation values of the field squared and of the energy-momentum tensor are obtained, for a massive scalar field with an arbitrary curvature coupling parameter, in the region between two infinite…

High Energy Physics - Theory · Physics 2013-05-29 E. Elizalde , A. A. Saharian , T. A. Vardanyan

We show that a non-commutative structure arises naturally from perturbative quantum gravity in a de Sitter background metric. Our work builds on recent advances in the construction of observables in highly symmetric background spacetimes…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Markus Fröb , William C. C. Lima , Albert Much , Kyriakos Papadopoulos

The non-local one-loop contribution to the gravitational effective action around de Sitter space is computed using the background field method with pure trace external gravitational fields and it is shown to vanish. The calculation is…

High Energy Physics - Theory · Physics 2009-10-28 I. Antoniadis , J. Iliopoulos , T. N. Tomaras

We consider a massless and minimally coupled self interacting quantum scalar field theory in the inflationary de Sitter background of dimension four. The self interaction potential is taken to be either quartic, $\lambda \phi^4/4!$, or…

High Energy Physics - Theory · Physics 2024-08-13 Sourav Bhattacharya , Sudesh Kumar

The vacuum expectation value of the square of the field fluctuations of a scalar field on a background consisting of {\it two} de Sitter branes embedded in an anti-de Sitter bulk are considered. We apply a dimensional reduction to obtain an…

High Energy Physics - Theory · Physics 2009-10-09 Wade Naylor , Misao Sasaki

We consider the definition of the global vacuum state of a quantum scalar field on $n$-dimensional anti-de Sitter space-time as seen by an observer rotating about the polar axis. Since positive (or negative) frequency scalar field modes…

General Relativity and Quantum Cosmology · Physics 2015-03-16 Carl Kent , Elizabeth Winstanley

Quantum field theory in the $4$-dimensional de Sitter space-time is constructed in the ambient space formalism in a rigorous mathematical framework. This work is based on the group representation theory and the analyticity of the…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Mohammad Vahid Takook

It is shown how metastable de Sitter vacua might arise from heterotic M-theory. The balancing of its two non-perturbative effects, open membrane instantons against gaugino condensation on the hidden boundary, which act with opposing forces…

High Energy Physics - Theory · Physics 2011-07-19 Melanie Becker , Gottfried Curio , Axel Krause

We present a detailed analysis for the classical stability of a four dimensional Anti-de Sitter spacetime (AdS$_4$) by decomposing the first-order perturbations of a spherical symmetric gravitational field into the so called tensor…

High Energy Physics - Theory · Physics 2007-05-23 Ali Nayeri , Tuan Tran

In this paper we have investigated the cosmological dynamics of non-locally corrected gravity involving a function of the inverse d'Alembertian of the Ricci scalar, $f(\Box^{-1} R))$. Casting the dynamical equations into local form, we…

High Energy Physics - Theory · Physics 2008-11-26 S. Jhingan , S. Nojiri , S. D. Odintsov , M. Sami , I Thongkool , S. Zerbini

We propose to compute the action and global charges of the asymptotically de Sitter solutions in Einstein-Gauss-Bonnet theory by using the counterterms method in conjunction with the quasilocal formalism. The general expression of the…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Y. Brihaye , E. Radu

Aim of the paper is to obtain 2d analogue of the backreaction equation which will be useful to study final state of quantum perturbed spherically symmetric curved space times. Thus we take Einstein-massless-scalar $\psi$ tensor gravity…

High Energy Physics - Theory · Physics 2016-09-08 Hossein Ghaffarnejad

We study an inverse resonance problem for the scalar wave equation on the Kerr-de Sitter family. In a compact subextremal slow-rotation regime and at a fixed overtone index, high-frequency quasinormal modes admit semiclassical quantization…

Mathematical Physics · Physics 2026-02-18 Ruiliang Li

We consider scalar field theory in de Sitter space with a general vacuum invariant under the continuously connected symmetries of the de Sitter group. We begin by reviewing approaches to define this as a perturbative quantum field theory.…

High Energy Physics - Theory · Physics 2009-11-10 Kevin Goldstein , David A. Lowe

We present a semiclassical framework in which stress-tensor deformations of a quantum field theory (QFT) reorganize into a gravitational action evaluated at a metric saddle. The deformed partition function can be written as a gravitational…

High Energy Physics - Theory · Physics 2026-04-08 Yun-Ze Li , Yunfei Xie , Song He

We provide an inhomogeneous solution concerning the dynamics of a real self interacting scalar field minimally coupled to gravity in a region of the configuration space where it performs a slow rolling on a plateau of its potential. During…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Imponente , Giovanni Montani

The existence and the stability conditions for some exact relativistic solutions of special interest are studied in a higher-order modified teleparallel gravitational theory. The theory with the use of a Lagrange multiplier is equivalent…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Andronikos Paliathanasis

Massless minimally coupled quantum scalar field with an asymmetric self interaction, $V(\phi)=\lambda \phi^4/4!+ \beta \phi^3/3! $ (with $\lambda >0$) is considered in the $(3+1)$-dimensional inflationary de Sitter spacetime. This potential…

High Energy Physics - Theory · Physics 2022-09-21 Sourav Bhattacharya
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