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In this short paper we determine the effects of structure on the cosmological consistency relation which is valid in a perfect Friedmann Universe. We show that within $\Lambda$CDM the consistency relation is violated by about 1.5% for…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-18 Varun Rustagi , Ruth Durrer

In this paper we compute the sizes of equilateral and orthogonal shape bispectrum for the general Lorentz invariant single-field inflation. The stability of field theory implies a non-negative square of sound speed which leads to a…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Qing-Guo Huang

(abridged version) The separate universe conjecture states that in General Relativity a density perturbation behaves locally (i.e. on scales much smaller than the wavelength of the mode) as a separate universe with different background…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 Liang Dai , Enrico Pajer , Fabian Schmidt

After reviewing the modified Newtonian dynamics (MOND) proposal, we advocate that the associated phenomenology may actually not result from a modification of Newtonian gravity, but from a mechanism of "gravitational polarization" of some…

Astrophysics · Physics 2008-07-09 Luc Blanchet , Alexandre Le Tiec

Cosmological soft theorems (or consistency relations) provide a powerful probe for the physics of inflation. These relations rely on minimal assumptions and hold very generally. Consequently, any violation of these relations would rule out…

High Energy Physics - Theory · Physics 2026-04-14 Farman Ullah

We systematically derive the consistency relations associated to the non-linearly realized symmetries of theories with spontaneously broken conformal symmetry but with a linearly-realized de Sitter subalgebra. These identities relate…

High Energy Physics - Theory · Physics 2013-04-12 Paolo Creminelli , Austin Joyce , Justin Khoury , Marko Simonović

Observational constraints guide one forcefully to examine models in which the matter density is substantially less than critical density. Particularly noteworthy are those which are consistent with inflation. For these models, microwave…

Astrophysics · Physics 2007-05-23 J. P. Ostriker , Paul J. Steinhardt

The consistency relations in large scale structure relate the lower-order correlation functions with their higher-order counterparts. They are direct outcome of the underlying symmetries of a dynamical system and can be tested using data…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-23 Dipak Munshi , Donough Regan

Notoriously, the two main problems of the standard $\Lambda$CDM model of cosmology are the cosmological constant $\Lambda$ and the cold dark matter, CDM. This essay shows that both the $\Lambda$ and the CDM arise as integration constants in…

General Relativity and Quantum Cosmology · Physics 2021-03-11 Priidik Gallagher , Tomi Koivisto

The latest cosmological observables analyses seem to converge to a concordant view of the cosmological model: namely the power law Lambda-CDM. The recent WMAP results comfort this new standard model. Nevertheless, some degeneracy in the CMB…

Astrophysics · Physics 2007-05-23 Marian Douspis

We study the symmetries of the post-recombination cosmological magnetohydrodynamical equations which describe the evolution of dark matter, baryons and magnetic fields in a self-consistent way. This is done both at the level of fluid…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 P. Berger , A. Kehagias , A. Riotto

We consider first-order conservative systems of particles with binary Coulomb interactions in the mean-field scaling regime in dimensions $d\geq 3$. We show that if at some time, the associated sequence of empirical measures converges in a…

Analysis of PDEs · Mathematics 2020-10-21 Matthew Rosenzweig

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

The single-field consistency conditions and the local ansatz have played separate but important roles in characterizing the non-Gaussian signatures of single- and multifield inflation respectively. We explore the precise relationship…

High Energy Physics - Theory · Physics 2017-03-08 Roland de Putter , Olivier Doré , Daniel Green , Joel Meyers

We study soft limits of correlation functions for the density and velocity fields in the theory of structure formation. First, we re-derive the (resummed) consistency conditions at unequal times using the eikonal approximation. These are…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-25 Ido Ben-Dayan , Thomas Konstandin , Rafael A. Porto , Laura Sagunski

We study the cosmological implications of gravity models which break diffeomorphisms (Diff) invariance down to transverse diffeomorphisms (TDiff). We start from the most general gravitational action involving up to quadratic terms in…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Antonio G. Bello-Morales , Antonio L. Maroto

The standard model of cosmology LCDM assumes general relativity, flat space, and the presence of a positive cosmological constant. We relax these assumptions allowing spatial curvature, time-dependent effective dark energy equation of…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Lucas Lombriser

We point out the existence of a consistency relation involving the 3-point function of scalar perturbations which is valid in any inflationary model, independently of the inflaton Lagrangian under the assumption that the inflaton is the…

Astrophysics · Physics 2009-11-10 Paolo Creminelli , Matias Zaldarriaga

We discuss the cosmological phenomenology of biscalar-tensor models displaying a maximally symmetric Einstein-frame kinetic sector and constructed on the basis of scale symmetry and volume-preserving diffeomorphisms. These theories contain…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-20 Santiago Casas , Georgios K. Karananas , Martin Pauly , Javier Rubio

The distance-redshift relation depends on the amount of matter of each type in the universe. Measurements at different redshifts constrain differing combinations of these matter densities and thus may be used in combination to constrain…

Astrophysics · Physics 2009-08-18 Martin White