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In this paper we investigate tensor fluctuations of the metric at the end of a Higgs inflationary period in the context of a recently introduced complex geometrical scalar-tensor theory of gravity. In our model the Higgs field has a…

General Relativity and Quantum Cosmology · Physics 2024-04-16 José Edgar Madriz Aguilar , A. Bernal , F. Aceves de la Cruz , J. A. Licea

We study quantum fluctuations of a free massless scalar field during inflation in the presence of a point, line, or plane defect such as a black hole, cosmic string, or domain wall, using a perturbative expansion in powers of small defect…

High Energy Physics - Theory · Physics 2015-06-19 Hing-Tong Cho , Kin-Wang Ng , I-Chin Wang

We study the fluctuations of the stress tensor for a massless scalar field in two and four-dimensional Minkowski spacetime in the vacuum state. Covariant expressions for the stress tensor correlation function are obtained as sums of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. H. Ford , Thomas A. Roman

Quantum gravitational effects in loop quantum cosmology lead to a resolution of the initial singularity and have the potential to solve the horizon problem and generate a quasi scale-invariant spectrum of density fluctuations. We consider…

Astrophysics · Physics 2008-11-26 Joao Magueijo , Parampreet Singh

Electrostatic correlations and fluctuations in ionic systems can be described within an extended Poisson-Boltzmann theory using a Gaussian variational form. The resulting equations are challenging to solve because they require the solution…

Computational Physics · Physics 2015-06-17 Zhenli Xu , A. C. Maggs

A thermal squeezed state representation of inflaton is constructed for a flat Friedmann-Robertson-Walker background metric and the phenomenon of particle creation is examined during the oscillatory phase of inflaton, in the semiclassical…

General Relativity and Quantum Cosmology · Physics 2009-11-10 P. K. Suresh

We calculate the quantum gravitational corrections to the Mukhanov-Sasaki equation obtained by the canonical quantization of the inflaton-gravity system. Our approach, which is based on the Born-Oppenheimer decomposition of the resulting…

General Relativity and Quantum Cosmology · Physics 2020-02-05 A. Y. Kamenshchik , A. Tronconi , G. Venturi

A second-order expansion for the quantum fluctuations of the matter field was considered in the framemork of the warm inflation scenario. The friction and Hubble parameters were expanded by means of a semiclassical approach. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mauricio Bellini

We investigate when effective theories of a scalar field on (quasi-)de Sitter background break down through the stochastic formalism. We derive the Fokker-Planck equation leaving the second order time derivative of the scalar field.…

General Relativity and Quantum Cosmology · Physics 2019-05-10 Rio Saitou

We investigate the scalar sector of linear cosmological perturbations in quadratic gravity. Working in the Einstein frame, we derive the equations of motion in a gauge-independent manner and express them in terms of three sets of…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Adrian Palomares , Ying-li Zhang , Jinsu Kim

We calculate quantum fluctuations of a free scalar field in the Schwarzschild-de Sitter space-time, adopting the planar coordinates that is pertinent to the presence of a black hole in an inflationary universe. In a perturbation approach,…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-18 Hing-Tong Cho , Kin-Wang Ng , I-Chin Wang

Exponentially expanding space-times play a central role in contemporary cosmology, most importantly in the theory of inflation and in the Dark Energy driven expansion in the late universe. In this work, we give a complete list of de Sitter…

General Relativity and Quantum Cosmology · Physics 2023-05-05 Hanno Gottschalk , Nicolai Rothe , Daniel Siemssen

We analyze the non--Gaussian primordial fluctuations which are inescapably contributed by scalar fields $\Phi$ with vanishing expectation values, $\langle\Phi\rangle=0$, present during inflation in addition to the inflaton field. For…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Harald F. Muller , Christoph Schmid

Because of the non-linearity of the Einstein equations, the cosmological fluctuations which are generated during inflation on a wide range of wavelengths do not evolve independently. In particular, to second order in perturbation theory,…

Astrophysics · Physics 2009-11-11 Patrick Martineau , Robert Brandenberger

We study primordial perturbations generated from quantum fluctuations of an inflaton based on the formalism of stochastic gravity. Integrating out the degree of freedom of the inflaton field, we analyze the time evolution of the correlation…

High Energy Physics - Theory · Physics 2008-11-26 Yuko Urakawa , Kei-ichi Maeda

We examine the effect of the stress tensor of a quantum matter field, such as the electromagnetic field, on the spectrum of primordial gravity waves expected in inflationary cosmology. We find that the net effect is a small reduction in the…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Jen-Tsung Hsiang , L. H. Ford , Kin-Wang Ng , Chun-Hsien Wu

Recently, we introduced an ekpyrotic model based on a single, canonical scalar field that generates nearly scale invariant curvature fluctuations through a purely "adiabatic mechanism" in which the background evolution is a dynamical…

High Energy Physics - Theory · Physics 2011-06-13 Justin Khoury , Paul J. Steinhardt

In the framework of chaotic inflation we study the case of a massive scalar field using a semiclassical approach. We derive the energy density fluctuations in the infrared sector generated by matter field and gauge-invariant metric…

General Relativity and Quantum Cosmology · Physics 2010-11-11 F. Lara , F. Astorga , M. Bellini

We propose a new approach for calculating the curvature perturbations produced during inflation in the stochastic formalism. In our formalism, the fluctuations of the e-foldings are directly calculated without perturbatively expanding the…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-06 Tomohiro Fujita , Masahiro Kawasaki , Yuichiro Tada , Tomohiro Takesako

Recently it has become clear that the resonant amplification of quantum field fluctuations at preheating must be accompanied by resonant amplification of scalar metric perturbations, since the two are united by Einstein's equations.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bruce A. Bassett , Fabrizio Tamburini , David I. Kaiser , Roy Maartens