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In a universe where, according to the standard cosmological models, some 97% of the total mass-energy is still "missing in action" it behooves us to spend at least a little effort critically assessing and exploring radical alternatives.…

General Relativity and Quantum Cosmology · Physics 2017-11-28 Matt Visser

A Gauss-Bonnet dark energy model is considered, which is inspired in string/M-theory and takes also into account quantum contributions. Those are introduced from a conformal quantum anomaly. The corresponding solutions for the Hubble rate,…

General Relativity and Quantum Cosmology · Physics 2009-02-11 Emilio Elizalde , John Quiroga Hurtado , Hector Ivan Arcos

We generalize Buchert's averaged equations [Gen. Rel. Grav. 32, 105 (2000); Gen. Rel. Grav. 33, 1381 (2001)] to LRS class II dust model in the sense that all Einstein equations are averaged, not only the trace part. We derive the relevant…

General Relativity and Quantum Cosmology · Physics 2015-02-17 Petr Kaspar , Otakar Svitek

We explore the quantum cosmology description of the de Sitter (dS) radiation and its backreaction to dS space, inherent in the wave function of the Wheeler-DeWitt equation for pure gravity with a cosmological constant. We first investigate…

General Relativity and Quantum Cosmology · Physics 2012-10-31 Je-An Gu , Sang Pyo Kim , Che-Min Shen

We introduce a spatial averaging scheme and use it to study the evolution of spatial averages in large-scale simulations of cosmological structure formation performed with the Einstein Toolkit. The averages are performed on the spatial…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-15 Alexander Oestreicher , Sofie Marie Koksbang

In this paper, we interpret the dark energy as an effect caused by small scale inhomogeneities of the universe with the use of the spatial averaged approach of Buchert. The model considered here adopts the Chevallier-Polarski-Linder(CPL)…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-25 Yan-Hong Yao , Xin-He Meng

One possible explanation for the present observed acceleration of the Universe is the breakdown of homogeneity and isotropy due to the formation of non-linear structures. How inhomogeneities affect the averaged cosmological expansion rate…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Jose Beltran Jimenez , Alvaro de la Cruz-Dombriz , Peter K. S. Dunsby , Diego Saez-Gomez

We present a solution to the dark energy problem in terms of the Effective Energy Momentum Tensor (EMT) of cosmological perturbations. The approach makes use of the gravitational back-reaction of long wavelength (super-Hubble) fluctuation…

Astrophysics · Physics 2007-05-23 P. Martineau , R. Brandenberger

We consider cosmological backreaction effects in Buchert's averaging formalism on the basis of an explicit solution of the Lema\^itre-Tolman-Bondi (LTB) dynamics which is linear in the LTB curvature parameter and has an inhomogeneous bang…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Eddy G. Chirinos Isidro , Rodrigo M. Barbosa , Oliver F. Piattella , Winfried Zimdahl

In the framework of spatially averaged inhomogeneous cosmologies in classical General Relativity, effective Einstein equations govern the regional and the global dynamics of averaged scalar variables of cosmological models. A particular…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Buchert

We present a formalism for spatial averaging in cosmology applicable to general spacetimes and coordinates, and allowing the easy incorporation of a wide variety of matter sources. We apply this formalism to a…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Iain A. Brown , Juliane Behrend , Karim A. Malik

Smoothing over structures in general relativity leads to a renormalisation of the background, and potentially many other effects which are poorly understood. Observables such as the distance-redshift relation when averaged on the sky do not…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Chris Clarkson , Obinna Umeh

In this paper we shall discuss the backreaction of a massive quantum scalar field on the curvature, the latter treated as a classical field. Furthermore, we shall deal with this problem in the realm of cosmological spacetimes by analyzing…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Nicola Pinamonti

The subject of cosmological backreaction in General Relativity is often approached by coordinate-dependent and metric-based analyses. We present in this letter an averaging formalism for the scalar parts of Einstein's equations that is…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Thomas Buchert , Pierre Mourier , Xavier Roy

We provide a comprehensive analytic study (rigorous and qualitative) of the conditions for the existence of a a positive kinematic back reaction term $\QQ>0$, in the context of Buchert's scalar averaging formalism applied to spherically…

General Relativity and Quantum Cosmology · Physics 2009-12-21 Roberto A. Sussman

We study the backreaction on the mean field geometry due to a non-conformal quantum field in a Robertson-Walker background. In the regime of small mass and small deviation from conformal coupling, we compute perturbatively the expectation…

General Relativity and Quantum Cosmology · Physics 2009-12-02 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

The exact solution of a two-scale Buchert average of the Einstein equations is derived for an inhomogeneous universe which represents a close approximation to the observed universe. The two scales represent voids, and the bubble walls…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David L. Wiltshire

For the study of cosmological backreacktion an avaragng procedure is required. In this work a covariant and gauge invariant averaging formalism for finite volumes will be developed. This averaging will be applied to the scalar parts of…

General Relativity and Quantum Cosmology · Physics 2014-10-27 Juri Smirnov

We study the backreaction of free quantum fields on a flat Robertson-Walker spacetime. Apart from renormalization freedom, the vacuum energy receives contributions from both the trace anomaly and the thermal nature of the quantum state. The…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-29 Claudio Dappiaggi , Thomas-Paul Hack , Jan Möller , Nicola Pinamonti

We investigate anisotropic fluid cosmology in a situation where the spacetime metric back-reacts in a local, time-dependent way to the presence of inhomogeneities. We derive exact solutions to the Einstein field equations describing…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Mariano Cadoni , Andrea P. Sanna