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The linear cosmological perturbation theory of almost homogeneous and isotropic perfect fluid and scalar field universes is reconsidered and formally simplified. Using the existence of a covariant conserved quantity on large perturbation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Winfried Zimdahl

We investigate a systematic formulation of vector-tensor theories based on the effective field theory (EFT) approach. The input of our EFT is that the spacetime symmetry is spontaneously broken by the existence of a preferred timelike…

High Energy Physics - Theory · Physics 2022-02-02 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama , Kazufumi Takahashi

It has long been known that a uniform distribution of matter cannot produce a Poisson distribution of density fluctuations on very large scales $1/k > ct$ by the motion of discrete particles over timescale $t$. The constraint is part of…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 Richard Lieu

In cosmology, long-wavelength modes are related to large-gauge transformations (LGT), i.e. changes of coordinates that modify the physical geometry of the cosmological patch. These LGTs stand as bona-fide symmetries of cosmological…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Jibril Ben Achour , Etera Livine , Vincent Vennin

The separable analytical solution in standard perturbation theory for an Einstein de Sitter (EdS) universe can be generalized to the wider class of such cosmologies (``generalized EdS'', or gEdS) in which a fraction of the pressure-less…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-12 Michael Joyce , Azrul Pohan

Context: Analyzing the large-scale structure (LSS) with galaxy surveys demands accurate structure formation models. Such models should ideally be fast and have a clear theoretical framework to rapidly scan a variety of cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-08 F. -S. Kitaura , F. Sinigaglia , A. Balaguera-Antolínez , G. Favole

We present an approach to cosmological perturbations based on a covariant perturbative expansion between two worldlines in the real inhomogeneous universe. As an application, at an arbitrary order we define an exact scalar quantity which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kari Enqvist , Janne Hogdahl , Sami Nurmi , Filippo Vernizzi

We develop a framework to compute the redshift space power spectrum (PS), with kernels beyond Einstein-de Sitter (EdS), that can be applied to a wide variety of generalized cosmologies. We build upon a formalism that was recently employed…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-16 Alejandro Aviles , Georgios Valogiannis , Mario A. Rodriguez-Meza , Jorge L. Cervantes-Cota , Baojiu Li , Rachel Bean

The Effective Field Theory of Large Scale Structure (EFTofLSS) has found tremendous success as a perturbative framework for the evolution of large scale structure, and it is now routinely used to compare theoretical predictions against…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-18 Caio Nascimento , Drew Jamieson , Matthew McQuinn , Marilena Loverde

We present a formulation of cosmological perturbation theory where the Boltzmann hierarchies that evolve the neutrino phase-space distributions are replaced by integrals that can be evaluated easily with fast Fourier transforms. The…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Lingyuan Ji , Marc Kamionkowski , Jose Luis Bernal

We apply an orthogonalization procedure on the effective field theory of large scale structure (EFT of LSS) shapes, relevant for the angle-averaged bispectrum and non-Gaussian covariance of the matter power spectrum at one loop. Assuming…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-23 Daniele Bertolini , Mikhail P. Solon

We present new perturbation theory (PT) predictions in the Spherical Collapse (SC) model for the 2-point moments of the large-scale distribution of dark matter density in the universe. We assume that these fluctuations grow under gravity…

Astrophysics · Physics 2009-11-07 E. Gaztanaga , P. Fosalba , R. A. C. Croft

We consider the FRW cosmological model in which the matter content of universe (playing a role of inflaton or quintessence) is given by a novel generalization of the massive scalar field. The latter is a scalar version of the recently…

General Relativity and Quantum Cosmology · Physics 2017-09-05 Jakub Mielczarek , Tomasz Trześniewski

In this paper, we explore the nonsingular cosmology within the framework of the Effective Field Theory(EFT) of cosmological perturbations. Due to the recently proved no-go theorem, any nonsingular cosmological models based on the cubic…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Yong Cai , Youping Wan , Hai-Guang Li , Taotao Qiu , Yun-Song Piao

We present a simple numerical scheme for perturbation theory (PT) calculations of large-scale structure. Solving the evolution equations for perturbations numerically, we construct the PT kernels as building blocks of statistical…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-13 Atsushi Taruya

The simplest flavor of the Effective Field Theory of Large Scale Structure is based on Newtonian equations and describes the nonlinear matter density and velocity using Einstein-de-Sitter kernels. Even in the presence of massive neutrinos,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-07 Christian Fidler , Julien Lesgourgues , Antonia Mattes , Azadeh Moradinezhad Dizgah , Simon Neuland

In this paper the scalar-tensor theory is applied to the study of perturbations in a multi-fluid universe, using the 1+3 covariant approach. Both scalar and harmonic decompositions are instituted on the perturbation equations. In…

General Relativity and Quantum Cosmology · Physics 2020-11-30 Joseph Ntahompagaze , Shambel Sahlu , Amare Abebe , Manasse R. Mbonye

We analyze the dark matter power spectrum at three-loop order in standard perturbation theory of large scale structure. We observe that at late times the loop expansion does not converge even for large scales (small momenta) well within the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-18 Diego Blas , Mathias Garny , Thomas Konstandin

We suggest an approach to perturbative calculations of large-scale clustering in the Universe that includes from the start the stream crossing (multiple velocities for mass elements at a single position) that is lost in traditional…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-17 Patrick McDonald , Zvonimir Vlah

Scale transformations have played an extremely successful role in studies of cosmological large-scale structure by relating the non-linear spectrum of cosmological density fluctuations to the linear primordial power at longer wavelengths.…

Astrophysics · Physics 2009-11-13 Jun Pan , Peter Coles , Istvan Szapudi
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