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We investigate the Lagrangian perturbation theory of a homogeneous and isotropic universe in the non-relativistic limit, and derive the solutions up to the fourth order. These solutions are needed for example for the next-to-leading order…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-15 Cornelius Rampf , Thomas Buchert

Dark matter (DM) can be composed of a collection of axions, or axion-like particles (ALPs), whose existence is due to the spontaneous breaking of the Peccei-Quinn $U(1)$ symmetry which is the most compelling solution of the strong…

High Energy Physics - Phenomenology · Physics 2023-06-16 Bryan Cordero-Patino , Álvaro Duenas-Vidal , Jorge Segovia

We present a new fast and efficient approach to model structure formation with Augmented Lagrangian Perturbation Theory (ALPT). Our method is based on splitting the displacement field into a long and a short-range component. The long-range…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Francisco-Shu Kitaura , Steffen Heß

We initiate a systematic study of the perturbative nonlinear dynamics of cosmological fluctuations in dark sectors comprising a fraction of non-cold dark matter, for example ultra-light axions or light thermal relics. These mixed dark…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-02 Francesco Verdiani , Emanuele Castorina , Ennio Salvioni , Emiliano Sefusatti

We present a new approach to computing the matter density power spectrum, from large linear scales to small highly nonlinear scales. Instead of explicitly computing a partial series of high-order diagrams, as in perturbative resummation…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-17 Patrick Valageas , Takahiro Nishimichi , Atsushi Taruya

We study cosmological structure formation with ultralight axion dark matter, or "fuzzy dark matter (FDM), using a particle-mesh scheme to account for the quantum pressure arising in the Madelung formulation of the Schr\"odinger-Poisson…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-03 Jan Veltmaat , Jens C. Niemeyer

We have continued the development of Lagrangian, cosmological perturbation theory for the low-order correlators of the matter density field. We provide a new route to understanding how the effective field theory (EFT) of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Zvonimir Vlah , Martin White , Alejandro Aviles

We explore the structure around shell-crossing time of cold dark matter protohaloes seeded by two or three crossed sine waves of various relative initial amplitudes, by comparing Lagrangian perturbation theory (LPT) up to 10th order to…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Shohei Saga , Atsushi Taruya , Stéphane Colombi

The cold dark matter (CDM) scenario has proved successful in cosmology. However, we lack a fundamental understanding of its microscopic nature. Moreover, the apparent disagreement between CDM predictions and subgalactic-structure…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-29 J. A. R. Cembranos , A. L. Maroto , S. J. Núñez Jareño , H. Villarrubia-Rojo

We compute the dark matter velocity dispersion tensor up to third order in perturbation theory using the Lagrangian formalism, revealing growing solutions at the third and higher orders. Our results are general and can be used for any other…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-30 Alejandro Aviles

The nonlinear perturbation theory of gravitational instability is extended to include effects of both biasing and redshift-space distortions, which are inevitable in predicting observable quantities in galaxy surveys. The precise…

Astrophysics · Physics 2014-11-18 Takahiko Matsubara

Ultralight bosonic dark matter has come under increasing scrutiny as a dark matter candidate that has the potential to resolve puzzles in astronomical observation. We demonstrate that high-precision measurements of time variation in the…

High Energy Physics - Phenomenology · Physics 2023-12-08 Joshua Berger , Amit Bhoonah

We describe and test a new method for creating initial conditions for cosmological N-body dark matter simulations based on second-order Lagrangian perturbation theory (2lpt). The method can be applied to multi-mass particle distributions…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Adrian Jenkins

We examine the Lagrangian divergence of the displacement field, arguably a more natural object than the density in a Lagrangian description of cosmological large-scale structure. This quantity, which we denote \psi, quantifies the…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-17 Mark C. Neyrinck

We present a new formulation of Lagrangian perturbation theory which allows accurate predictions of the real- and redshift-space correlation functions of the mass field and dark matter halos. Our formulation involves a non-perturbative…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Jordan Carlson , Beth Reid , Martin White

We study the dynamics of cosmological perturbations in models of dark matter based on ultralight coherent vector fields. Very much as for scalar field dark matter, we find two different regimes in the evolution: for modes with $k^2\ll {\cal…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 J. A. R. Cembranos , A. L. Maroto , S. J. Núñez Jareño

We develop a model-independent approach to lagrangian perturbation theory for the large scale structure of the universe. We focus on the displacement field for dark matter particles, and derive its most general structure without assuming a…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Marco Marinucci , Kevin Pardede , Massimo Pietroni

We solve analytically and numerically the generalized Einstein equations in scalar-tensor cosmologies to obtain the evolution of dark energy and matter linear perturbations. We compare our results with the corresponding results for…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-25 J. C. Bueno Sanchez , L. Perivolaropoulos

As constraints on ultralight axion-like particles (ALPs) tighten, models with multiple species of ultralight ALP are of increasing interest. We perform simulations of two-ALP models with particles in the currently supported range…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-14 Noah Glennon , Nathan Musoke , Chanda Prescod-Weinstein

Disformal transformations have proven to be very useful to devise models of the dark sector. In the present paper we apply such transformation to a single scalar field theory as a way to drive the field into a slow roll phase. The canonical…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-04 M. Zumalacarregui , T. S. Koivisto , D. F. Mota , P. Ruiz-Lapuente