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We derive a general expression for the large-scale halo bias, in theories with a scale-dependent linear growth, using the excursion set formalism. Such theories include modified gravity models, and models in which the dark energy clustering…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-22 Kyle Parfrey , Lam Hui , Ravi K. Sheth

In this note we examine the derivation of scale-dependent bias due to primordial non-Gaussianity of the local type in the context of general relativity. We justify the use of the Poisson equation in general relativistic perturbation theory…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 David Wands , Anze Slosar

Several recent studies have shown how to properly calculate the observed clustering of galaxies in a relativistic context, and uncovered corrections to the Newtonian calculation that become significant on scales near the horizon. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Donghui Jeong , Fabian Schmidt , Christopher M. Hirata

We derive an exact analytical solution for the redshift evolution of linear and scale-independent bias, by solving a second order differential equation based on linear perturbation theory. This bias evolution model is applicable to all…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-08 S. Basilakos , M. Plionis , A. Pouri

Although general relativity underlies modern cosmology, its applicability on cosmological length scales has yet to be stringently tested. Such a test has recently been proposed, using a quantity, EG, that combines measures of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-11 Reinabelle Reyes , Rachel Mandelbaum , Uros Seljak , Tobias Baldauf , James E. Gunn , Lucas Lombriser , Robert E. Smith

The $f(R)$ theory of gravitation developed perturbatively around the general theory of relativity with cosmological constant (the \text{$\Lambda$}CDM model) in a flat FLWR geometry is considered. As a result, a general explicit cosmological…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Pham Van Ky , Nguyen Thi Hong Van , Nguyen Anh Ky

Fry (1996) showed that galaxy bias has the tendency to evolve towards unity, i.e. in the long run, the galaxy distribution tends to trace that of matter. Generalizing slightly Fry's reasoning, we show that his conclusion remains valid in…

Astrophysics · Physics 2008-11-26 Lam Hui , Kyle P. Parfrey

Deviations from general relativity, such as could be responsible for the cosmic acceleration, would influence the growth of large scale structure and the deflection of light by that structure. We clarify the relations between several…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Scott F. Daniel , Eric V. Linder , Tristan L. Smith , Robert R. Caldwell , Asantha Cooray , Alexie Leauthaud , Lucas Lombriser

The proper general relativistic description of the observed galaxy power spectrum is substantially different from the standard Newtonian description on large scales, providing a unique opportunity to test general relativity on horizon…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-17 Jaiyul Yoo , Nico Hamaus , Uros Seljak , Matias Zaldarriaga

A strictly linear evolution of the cosmological scale factor is surprisingly an excellent fit to a host of cosmological observations. Any model that can support such a coasting presents itself as a falsifiable model as far as classical…

Astrophysics · Physics 2007-05-23 Savita Gehlaut , Pranav Kumar , Geetanjali , Daksh Lohiya

High-energy extensions to General Relativity modify the Einstein-Hilbert action with higher-order curvature corrections and theory-specific coupling constants. The order of these corrections imprints a universal curvature dependence on…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Ethan Payne , Maximiliano Isi , Katerina Chatziioannou , Luis Lehner , Yanbei Chen , Will M. Farr

General relativity as one the pillar of modern cosmology has to be thoroughly tested if we want to achieve an accurate cosmology. We present the results from such a test on cosmological scales using cosmic shear and galaxy clustering…

Observables of cosmic structures are usually not the underlying matter field but biased tracers of matter, such as galaxies or halos. We show how the bias found in Newtonian N-body simulations can be interpreted in terms of the weak-field…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-26 Christian Fidler , Nils Sujata , Cornelius Rampf

When dealing with observables, one needs to generalize the bias relation between the observed galaxy fluctuation field to the underlying matter distribution in a gauge-invariant way. We provide such relation at second-order in perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-20 N. Bartolo , S. Matarrese , A. Riotto

Deviations from general relativity in order to explain cosmic acceleration generically have both time and scale dependent signatures in cosmological data. We extend our previous work by investigating model independent gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-23 Scott F. Daniel , Eric V. Linder

By means of the present geometrical and dynamical observational data, it is very hard to establish, from a statistical perspective, a clear preference among the vast majority of the proposed models for the dynamical dark energy and/or…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-07 Tomasz Denkiewicz , Vincenzo Salzano

We present a general relativistic description of galaxy clustering in a FLRW universe. The observed redshift and position of galaxies are affected by the matter fluctuations and the gravity waves between the source galaxies and the…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-29 Jaiyul Yoo , A. Liam Fitzpatrick , Matias Zaldarriaga

Length scales probed by large scale structure surveys are becoming closer to the horizon scale. Further, it has been recently understood that non-Gaussianity in the initial conditions could show up in a scale dependence of the bias of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Tobias Baldauf , Uros Seljak , Leonardo Senatore , Matias Zaldarriaga

We study cosmological evolution in a flat FLRW spacetime in the context of modified STEGR gravity or $f(Q)$, using an exponential two-parameter model which represents a smooth perturbative expansion around the $\Lambda$CDM model. The…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Ivan R. Vasquez , A. Oliveros

Extremely large surveys with future experiments like Euclid and the SKA will soon allow us to access perturbation modes close to the Hubble scale, with wavenumbers $k \sim \mathcal{H}$. If a modified gravity theory is responsible for cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-03 Tessa Baker , Philip Bull
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