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The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We compute the luminosity distance-redshift relation in a perturbed flat matter-dominated Universe, taking into account the presence of…

Astrophysics · Physics 2009-11-10 Enrico Barausse , Sabino Matarrese , Antonio Riotto

Two-parameter perturbation theory (2PPT) is a framework designed to include the relativistic gravitational effects of small-scale nonlinear structures on the large-scale properties of the Universe. In this paper we use the 2PPT framework to…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Christopher S. Gallagher , Timothy Clifton , Chris Clarkson

As the Universe expands, the redshift of distant sources changes with time. Here we discuss gravitational lensing phenomena that are consequence of the redshift drift between lensed source, gravitational lens, and observer. When the source…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-01 Giovanni Covone , Mauro Sereno

The drift in the redshift of objects passively following the cosmological expansion has long been recognized as a key model-independent probe of cosmology. Here, we study the cosmological relevance of measurements of time or redshift…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-29 C. J. A. P. Martins , M. Martinelli , E. Calabrese , M. P. L. P. Ramos

We derive an analytic expression for the two-point correlation function in redshift space which (i) is nonlinear; (ii) is valid on the full sky, i.e. the distant-observer limit is not assumed; (iii) can account for the effect of…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Lawrence Dam , Camille Bonvin

The peculiar velocities of galaxies distort the pattern of galaxy clustering in redshift space, making the redshift space power spectrum anisotropic. In the linear regime, the strength of this distortion depends only on the ratio $\beta…

Astrophysics · Physics 2015-06-24 Shaun Cole , Karl B. Fisher , David H. Weinberg

Measurements of the cosmic redshift drift - the change in redshift of a source over time - will enable independent detection of cosmological expansion thanks to the immense precision soon reached by new facilities such as the Square…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-16 Sofie Marie Koksbang , Asta Heinesen , Hayley J. Macpherson

The relativistic effects in cosmological observables contain critical information about the initial conditions and gravity on large scales. Compared to the matter density fluctuation, some of these relativistic contributions scale with…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Ermis Mitsou , Jaiyul Yoo , Matteo Magi

We investigate the effect of the redshift drift in strong gravitational lensing. The redshift drift produces a time variation of $i)$ the apparent position of a lensed source and $ii)$ the time delay among incoming signals from different…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-17 Oliver F. Piattella , Leonardo Giani

The galaxy bispectrum is affected on equality scales and above by relativistic observational effects, at linear and nonlinear order. These lightcone effects include local contributions from Doppler and gravitational potential terms, as well…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Sheean Jolicoeur , Obinna Umeh , Roy Maartens , Chris Clarkson

We study the frame dependence/independence of cosmological observables under disformal transformations, extending the previous results regarding conformal transformations, and provide the correspondence between Jordan-frame and…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Takeshi Chiba , Fabio Chibana , Masahide Yamaguchi

We present a gauge invariant argument that a nonlocal measure of second-order metric and matter perturbations dominate that of linear fluctuations in its effect on the gravitational field in 'slow-rolling' spacetimes.

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Losic , W. G. Unruh

We present the matter power spectrum in redshift space including two-loop corrections. We follow a strictly perturbative approach incorporating all non-linearities entering both via the redshift-space mapping and within real space up to the…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-25 Petter Taule , Mathias Garny

We present a method for constructing gauge-invariant cosmological perturbations which are gauge-invariant up to second order. As an example we give the gauge-invariant definition of the second-order curvature perturbation on uniform density…

Astrophysics · Physics 2009-11-10 Karim A Malik , David Wands

We apply nonlinear reconstruction to the dark matter density field in redshift space and solve for the nonlinear mapping from the initial Lagrangian position to the final redshift space position. The reconstructed anisotropic field inferred…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-13 Hong-Ming Zhu , Yu Yu , Ue-Li Pen

Redshift drift is the phenomenon whereby the observed redshift between an emitter and observer comoving with the Hubble flow in an expanding FLRW universe will slowly evolve -- on a timescale comparable to the Hubble time. There are…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Francisco S. N. Lobo , Jose Pedro Mimoso , Matt Visser

We present the nonlinear 2D galaxy power spectrum, $P(k,\mu)$, in redshift space, measured from the Dark Sky simulations, using galaxy catalogs constructed with both halo occupation distribution and subhalo abundance matching methods,…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-03 Elise Jennings , Risa H. Wechsler , Samuel W. Skillman , Michael S. Warren

Possible effects are considered which would be caused by a hypothetical superstrong interaction of photons or massive bodies with single gravitons of the graviton background. If full cosmological redshift magnitudes are caused by the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michael A. Ivanov

Recent analyses of large-scale structure and redshift surveys have reported significant dipolar anisotropies in the local Universe that are not straightforwardly attributable to a global kinematic boost. When interpreted within standard…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-05 Erick Pastén

Observations of redshift-space distortions in spectroscopic galaxy surveys offer an attractive method for observing the build-up of cosmological structure. In this paper we develop and test a new statistic based on anisotropies in the…

Astrophysics · Physics 2009-11-13 Will J Percival , Martin White
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