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TThe Toda-Brumer-Duff (TBD) is an analytical criterion for estimating the local exponential rate of divergence between nearby trajectories in dynamical systems, and it is employed as a test for assessing the existence of chaos therein. It…

混沌动力学 · 物理学 2024-01-30 F. Sattin , L. Salasnich

We consider a general relativistic zero-pressure irrotational cosmological medium perturbed to the third order. We assume a flat Friedmann background but include the cosmological constant. We ignore the rotational perturbation which decays…

广义相对论与量子宇宙学 · 物理学 2009-11-10 J. Hwang , H. Noh

We critically review several recent approaches to solving the two cosmological constant problems. The "old" problem is the discrepancy between the observed value of $\Lambda$ and the large values suggested by particle physics models. The…

高能物理 - 理论 · 物理学 2009-10-31 J. Garriga , A. Vilenkin

In scalar-vector-tensor (SVT) theories with parity invariance, we perform a gauge-ready formulation of cosmological perturbations on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background by taking into account a matter perfect…

广义相对论与量子宇宙学 · 物理学 2018-12-12 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

Cosmology in extended theories of gravity is considered assuming the Palatini variational principle, for which the metric and connection are independent variables. The field equations are derived to linear order in perturbations about the…

天体物理学 · 物理学 2015-06-24 Tomi Koivisto , Hannu Kurki-Suonio

We extend field-level inference to jointly constrain the cosmological parameters $\{A,\omega_{\rm cdm},H_0\}$, in both real and redshift space. Our analyses are based on mock data generated using a perturbative forward model, with noise…

宇宙学与河外天体物理 · 物理学 2025-09-25 Kazuyuki Akitsu , Marko Simonović , Shi-Fan Chen , Giovanni Cabass , Matias Zaldarriaga

We present the growing mode solutions of cosmological perturbations to the second order in the matter dominated era. We also present several gauge-invariant combinations of perturbation variables to the second order in most general fluid…

宇宙学与河外天体物理 · 物理学 2015-06-04 Jai-chan Hwang , Hyerim Noh , Jinn-Ouk Gong

Recently, inhomogeneous generalisations of the Friedmann-Lemaitre-Robertson-Walker cosmological models have gained interest in the astrophysical community and are more often employed to study cosmological phenomena. However, in many papers…

宇宙学与河外天体物理 · 物理学 2011-10-17 Krzysztof Bolejko , Marie-Noëlle Célérier , Andrzej Krasiński

Increasingly accurate observations are driving theoretical cosmology toward the use of more sophisticated descriptions of matter and the study of nonlinear perturbations of FL cosmologies, whose governing equations are notoriously…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Claes Uggla , John Wainwright

We describe inhomogeneities in a {\Lambda}CDM universe with a gradient series expansion and show that it describes the gravitational evolution far into the non-linear regime and beyond the capacity of standard perturbation theory at any…

宇宙学与河外天体物理 · 物理学 2015-03-20 Gerasimos Rigopoulos , Wessel Valkenburg

This work investigates the nonlinearity of the power-law model of F(T) gravity, highlighting the inability of the Boltzmann solver CLASS to handle nonlinear models. As a workaround, a second-order Taylor expansion is applied to the…

广义相对论与量子宇宙学 · 物理学 2025-12-23 Robert Rugg , Shambel Akalu , Amare Abebe

In this paper we attempt to answer to the question: can cosmic acceleration of the Universe have a fractal solution? We give an exact solution of a Lema\^itre-Tolman-Bondi (LTB) Universe based on the assumption that such a smooth metric is…

宇宙学与河外天体物理 · 物理学 2019-01-30 Leonardo Cosmai , Giuseppe Fanizza , Francesco Sylos Labini , Luciano Pietronero , Luigi Tedesco

Many recent studies have highlighted certain failures of the standard Eulerian-space cosmological perturbation theory (SPT). Its problems include (1) not capturing large-scale bulk flows [leading to an O(1) error in the 1-loop SPT…

宇宙学与河外天体物理 · 物理学 2016-01-27 Matthew McQuinn , Martin White

We consider flat Friedmann-Lema\^{\i}tre-Robertson-Walker cosmological models in the framework of general scalar-tensor theories of gravity with arbitrary coupling functions, set in the Jordan frame, in the cosmological epoch when the…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Laur Järv , Piret Kuusk , Margus Saal

Previous papers dealt with the quantization of the Lemaitre-Tolman-Bondi (LTB) model for vanishing cosmological constant $\Lambda$. Here we extend the analysis to the case $\Lambda >0$. Our main goal is to present solutions of the…

广义相对论与量子宇宙学 · 物理学 2010-01-06 Anne Franzen , Sashideep Gutti , Claus Kiefer

Recent observational evidence of axially symmetric anisotropies in the local cosmic expansion rate motivates an investigation of whether they can be accounted for within the Lema\^itre-Tolman-Bondi (LTB) framework with an off-center…

宇宙学与河外天体物理 · 物理学 2026-03-10 Maharshi Sarma , Christian Marinoni , Basheer Kalbouneh , Chris Clarkson , Roy Maartens

We present a novel form of relativistic quantum mechanics and demonstrate how to solve it using a recently derived unitary perturbation theory, within partial wave analysis. The theory is tested on a relativistic problem, with two spinless,…

量子物理 · 物理学 2021-08-11 Scott E. Hoffmann

In view of growing interest in tensor modes and their possible detection, we clarify the definition of tensor modes up to 2nd order in perturbation theory within the Hamiltonian formalism. Like in gauge theory, in cosmology the Hamiltonian…

广义相对论与量子宇宙学 · 物理学 2023-09-19 Guillem Domènech , Misao Sasaki

We apply our tetrad-based approach for constructing spherically-symmetric solutions in general relativity to modelling a void, and compare it with the standard Lema\^itre-Tolman-Bondi (LTB) formalism. In particular, we construct models for…

宇宙学与河外天体物理 · 物理学 2019-07-31 Do Young Kim , Anthony N. Lasenby , Michael P. Hobson

We obtain exact expressions for the effect of primordial non-Gaussianity on the matter density perturbation up to second order in a LambdaCDM cosmology, fully accounting for the general relativistic corrections arising on scales comparable…

宇宙学与河外天体物理 · 物理学 2014-11-20 N. Bartolo , S. Matarrese , O. Pantano , A. Riotto