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Galaxy models are fundamental to exploiting surveys of our Galaxy. There is now a significant body of work on axisymmetric models. A model can be defined by giving the DF of each major class of stars and of dark matter. Then the…

Astrophysics of Galaxies · Physics 2018-06-13 James Binney

We provide a consistent framework for estimating galaxy counts and variances in wide-field images for a range of photometric bands. The variances include both Poissonian noise and variations due to large scale structure. We demonstrate that…

Astrophysics · Physics 2008-11-26 S. C. Ellis , J. Bland-Hawthorn

Perturbations in a universe with matter and cosmological constant are computed in terms of the primordial scalar perturbation up to second order. The calculation is easy -- a generalization of the spherical dust solution. Our expression…

Astrophysics · Physics 2007-05-23 Andrei Gruzinov

We use the calculations derived in a previous paper (M\'era, Chabrier and Schaeffer, 1997), based on observational constraints arising from star counts, microlensing experiments and kinematic properties, to determine the amount of dark…

Astrophysics · Physics 2007-05-23 D. Méra , G. Chabrier , R. Schaeffer

Reconstructing the matter density field from galaxy counts is a problem frequently addressed in current literature. Two main sources of error are shot noise from galaxy counts and insufficient knowledge of the correct galaxy position caused…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Cornelius Weig , Torsten Ensslin

We study the second-order gauge-invariant adiabatic and isocurvature perturbations in terms of the scalar fields present during inflation, along with the related fully non-linear space gradient of these quantities. We discuss the relation…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-01 Eleftheria Tzavara , Bartjan van Tent

The bulge is a region of the Galaxy of tremendous interest for understanding galaxy formation. However measuring photometry and kinematics in it raises several inherent issues, such as severe crowding and high extinction in the visible.…

Astrophysics · Physics 2008-12-22 C. Reyle , D. J. Marshall , M. Schultheis , A. C. Robin

Homogeneous isotropic models with two torsion functions built in the framework of the Poincare gauge theory of gravity based on general expression of gravitational Lagrangian by certain restrictions on indefinite parameters are analyzed…

General Relativity and Quantum Cosmology · Physics 2015-03-19 A. S. Garkun , V. I. Kudin , A. V. Minkevich , Yu. G. Vasilevsky

Gravitational-wave astronomy provides a unique new way to study the expansion history of the Universe. In this work, we investigate the impact future gravitational-wave observatories will have on cosmology. Third-generation observatories…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-03 Zhi-Qiang You , Xing-Jiang Zhu , Gregory Ashton , Eric Thrane , Zong-Hong Zhu

We demonstrate that accurate and precise cosmological information can be extracted from the cell count analysis of the 3D spatial clustering of galaxies once the second-order ratio between one- and two-point moments of the smoothed galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-13 J. Bel , C. Marinoni

We study Einstein's equations with matter in hydrostatic equilibrium in the nonstandard gauge which was recently investigated in the vacuum case. We obtain spherically symmetric solutions for any given rotation curve. These solutions can be…

General Relativity and Quantum Cosmology · Physics 2012-12-04 Günter Scharf

In this paper we compute the quantity which is truly measured in a large galaxy survey. We take into account the effects coming from the fact that we actually observe galaxy redshifts and sky positions and not true spatial positions. Our…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Camille Bonvin , Ruth Durrer

In this paper we present a new formulation of the change of gauge formulas in second order cosmological perturbation theory which unifies and simplifies known results. Our approach is based on defining new second order scalar perturbation…

General Relativity and Quantum Cosmology · Physics 2019-01-23 Claes Uggla , John Wainwright

We present a theoretical formalism to predict the two-point clustering statistics (the power spectrum and the two-point correlation function), simultaneously taking account of the linear velocity distortion, the nonlinear velocity…

Astrophysics · Physics 2015-06-24 Yasushi Suto , Hiromitsu Magira , Kazuhiro Yamamoto

We study the power spectrum of galaxies in redshift space, with third order perturbation theory to include corrections that are absent in linear theory. We assume a local bias for the galaxies: i.e. the galaxy density is sampled from some…

Astrophysics · Physics 2009-10-30 A. F. Heavens , S. Matarrese , L. Verde

We present the first computation of the cosmological perturbations generated during inflation up to second order in deviations from the homogeneous background solution. Our results, which fully account for the inflaton self-interactions as…

Astrophysics · Physics 2010-04-05 V. Acquaviva , N. Bartolo , S. Matarrese , A. Riotto

Along the general framework of the gauge invariant perturbation theory developed in the papers [K. Nakamura, Prog. Theor. Phys. {\bf 110} (2003), 723; {\it ibid}, {\bf 113} (2005), 481.], we formulate the second order gauge invariant…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kouji Nakamura

We consider a recent approach to the construction of gauge-invariant relational observables in gravity in the context of cosmological perturbation theory. These observables are constructed using a field-dependent coordinate system, which we…

General Relativity and Quantum Cosmology · Physics 2022-01-20 Markus B. Fröb , William C. C. Lima

In this paper we present for the first time the angular power spectra $C_\ell(z,z')$ for number counts from relativistic N-body simulations. We use the relativistic N-body code gevolution with its exact integration of lightlike geodesics…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-14 Francesca Lepori , Julian Adamek , Ruth Durrer

Galaxy clustering is a standard cosmological probe that is commonly analysed through two-point statistics. In observations, the estimation of the two-point correlation function crucially relies on counting pairs in a random catalogue. The…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-10 Michel-Andrès Breton , Sylvain de la Torre
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