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A review will be presented on the algebraic extension of the standard Theory of Relativity (GR) to the pseudo-complex formulation (pc-GR). The pc-GR predicts the existence of a dark energy outside and inside the mass distribution,…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Peter O. Hess

Model-independent parametrisations of modified gravity have attracted a lot of attention over the past few years and numerous combinations of experiments and observables have been suggested to constrain the parameters used in these models.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Daniel B. Thomas , Carlo R. Contaldi

Magnification bias, an observational effect of gravitational lensing in the weak regime, allows testing the cosmological model through angular correlations of sources at different redshifts. This effect has been observed in various…

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

In recent years, significant progress has been made in building new galaxy clusters samples, at low and high redshifts, from wide-area surveys, particularly exploiting the Sunyaev--Zel'dovich (SZ) effect. A large effort is underway to…

General Relativity (GR) remains the cornerstone of gravitational physics, providing remarkable success in describing a wide range of astrophysical and cosmological phenomena. However, several challenges underscore the urgent need to explore…

General Relativity and Quantum Cosmology · Physics 2025-02-12 Susobhan Mandal , S. Shankaranarayanan

We examine the prospects for measuring the dark energy equation of state parameter w within the context of any uncertain redshift evolution of galaxy cluster structure (building on Majumdar and Mohr, 2003) and show that including the…

Astrophysics · Physics 2008-11-26 Subhabrata Majumdar , Joseph J. Mohr

As confirmed by tests performed in the solar system, General Relativity (GR) presently represents the best description of gravitation. It is however challenged by observations at very large length scales, and already at the solar system…

General Relativity and Quantum Cosmology · Physics 2014-09-16 Marc-Thierry Jaekel , Serge Reynaud

We review the quantitative science that can be and has been done with redshift and peculiar velocity surveys of galaxies in the nearby universe. After a brief background setting the cosmological context for this work, the first part of this…

Astrophysics · Physics 2016-08-30 Michael A. Strauss , Jeffrey A. Willick

Planned efforts to probe the largest observable distance scales in future cosmological surveys are motivated by a desire to detect relic correlations left over from inflation, and the possibility of constraining novel gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-11 Caroline Guandalin , Julian Adamek , Philip Bull , Chris Clarkson , L. Raul Abramo , Louis Coates

We investigate, using simulated galaxy catalogues, the completeness of searches for massive clusters of galaxies in redshift surveys or imaging surveys with photometric redshift estimates, i.e. what fraction of clusters (M>10^14/h Msun) are…

Astrophysics · Physics 2008-11-26 Martin White , C. S. Kochanek

Peculiar velocities arise from gravitational instability, and thus are linked to the surrounding distribution of matter. In order to understand the motion of the Local Group with respect to the Cosmic Microwave Background, a deep all-sky…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Guilhem Lavaux , Michael J. Hudson

We present a Markov chain Monte Carlo pipeline which can be used for unbiased large-scale tests of gravity using galaxy cluster observations. The pipeline, which currently uses cluster number counts to constrain the present-day background…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-28 Myles A. Mitchell

We critically investigate current statistical tests applied to high redshift clusters of galaxies in order to test the standard cosmological model and describe their range of validity. We carefully compare a sample of high-redshift,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Ben Hoyle , Raul Jimenez , Licia Verde , Shaun Hotchkiss

In this contribution we review the large body of work carried out over the past two decades to probe the dark matter in the local universe using redshift survey and peculiar velocity data. While redshift surveys have evolved rapidly over…

Astrophysics · Physics 2007-05-23 L. da Costa

Cosmography and galaxy clusters are discussed in the framework of f(R)-gravity giving a comprehensive review of recent results.

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 S. Capozziello , V. Salzano

Future large scale structure surveys will provide increasingly tight constraints on our cosmological model. These surveys will report results on the distance scale and growth rate of perturbations through measurements of Baryon Acoustic…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-07 Martin White

Rich and massive clusters of galaxies at intermediate redshift are capable of magnifying and distorting the images of background galaxies. A comparison of different mass estimators among these clusters can provide useful information about…

Astrophysics · Physics 2009-10-30 Xiang-Ping Wu , Tzihong Chiueh , Li-Zhi Fang , Yan-Jie Xue

The Beyond Horndeski class of alternative gravity theories allow for Self-accelerating de-Sitter cosmologies with no need for a cosmological constant. This makes them viable alternatives to $\Lambda$CDM and so testing their small-scale…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-08 Jeremy Sakstein , Harry Wilcox , David Bacon , Kazuya Koyama , Robert C. Nichol

General relativity (GR) has been well tested up to solar system scales, but it is much less certain that standard gravity remains an accurate description on the largest, that is, cosmological, scales. Many extensions to GR have been studied…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-07 Austin Peel , Valeria Pettorino , Carlo Giocoli , Jean-Luc Starck , Marco Baldi
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