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These lectures were addressed to nonspecialists willing to learn some basic facts, approaches, tools and observational evidence which conform modern cosmology. The aim is also to try to complement the many excellent treatises that exists on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Emilio Elizalde

Cosmic shear measurements have now improved to the point where they deserve to be treated on par with CMB and galaxy clustering data for cosmological parameter analysis, using the full measured aperture mass variance curve rather than a…

Astrophysics · Physics 2009-10-07 Xiaomin Wang , Max Tegmark , Bhuvnesh Jain , Matias Zaldarriaga

While building up a catalog of Earth orbiting objects, if the available optical observations are sparse, not deliberate follow ups of specific objects, no orbit determination is possible without previous correlation of observations obtained…

Space Physics · Physics 2015-05-20 A. Milani , G. Tommei , D. Farnocchia , A. Rossi , T. Schildknecht , R. Jehn

The cosmic large-scale structure (LSS) provides a unique testing ground for connecting fundamental physics to astronomical observations. Modeling the LSS requires numerical $N$-body simulations or perturbative techniques that both come with…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-20 Florian List , Oliver Hahn , Cornelius Rampf

We examine the constraints of spherically symmetric general relativity with one asymptotically flat region, exploiting both the traditional metric variables and variables constructed from the optical scalars. With respect to the latter…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Jemal Guven , Niall Ó Murchadha

In most approaches to fundamental physics, spacetime symmetries are postulated a priori and then explicitly implemented in the theory. This includes Lorentz covariance in quantum field theory and diffeomorphism invariance in quantum…

Quantum Physics · Physics 2018-03-14 Philipp A. Hoehn , Markus P. Mueller

Independent tests aiming to constrain the value of the cosmological constant $\Lambda$ are usually difficult because of its extreme smallness $\left(\Lambda \simeq 1\times 10^{-52}~\textrm{m}^{-2},~\textrm{or}~2.89\times…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Lorenzo Iorio

Foundation models have transformed language, vision, and time series data analysis, yet progress on dynamic predictions for physical systems remains limited. Given the complexity of physical constraints, two challenges stand out. $(i)$…

Machine Learning · Computer Science 2026-02-05 Haoran Li , Chenhan Xiao , Lihao Mai , Yang Weng , Erik Blasch

We discuss the construction of cosmological models within the framework of Macroscopic Gravity (MG), which is a theory that models the effects of averaging the geometry of space-time on large scales. We find new exact spatially homogeneous…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Timothy Clifton , Alan Coley , Robert van den Hoogen

We consider a cosmology in which a spherically symmetric large scale inhomogeneous enhancement or a void are described by an inhomogeneous metric and Einstein's gravitational equations. For a flat matter dominated universe the inhomogeneous…

Astrophysics · Physics 2008-11-26 J. W. Moffat

Cosmography is a model-independent phenomenological approach to observational cosmology, relying on Taylor series expansions of physical quantities as a function of the cosmological redshift or other analogous variables. A recent work…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-27 C. J. A. P. Martins

Modern cosmological theory is based on the Friedmann--Robertson--Walker (FRW) metric. Often written in terms of co-moving coordinates, this well-known solution to Einstein's equations owes its elegant and highly practical formulation to the…

General Physics · Physics 2018-09-14 Fulvio Melia

Cosmology is most typically analyzed using standard co-moving coordinates, in which the galaxies are (on average, up to presumably small peculiar velocities) "at rest", while "space" is expanding. But this is merely a specific coordinate…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Rudeep Gaur , Matt Visser

Current constraints on spatial curvature show that it is dynamically negligible: $|\Omega_{\rm K}| \lesssim 5 \times 10^{-3}$ (95% CL). Neglecting it as a cosmological parameter would be premature however, as more stringent constraints on…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-13 C. Danielle Leonard , Philip Bull , Rupert Allison

We test the cosmological implications of studying galaxy clustering using a tomographic approach, by computing the galaxy two-point angular correlation function $\omega(\theta)$ in thin redshift shells using a spectroscopic-redshift galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Salvador Salazar-Albornoz , Ariel G. Sánchez , Nelson D. Padilla , Carlton M. Baugh

Cosmological galaxy surveys aim at mapping the largest volumes to test models with techniques such as cluster abundance, cosmic shear correlations or baryon acoustic oscillations (BAO), which are designed to be independent of galaxy bias.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 E. Gaztanaga , M. Eriksen , M. Crocce , F. Castander , P. Fosalba , P. Marti , R. Miquel , A. Cabre

We find new, simple cosmological solutions with flat, open, and closed spatial geometries, contrary to the previous wisdom that only the open model is allowed. The metric and the St\"{u}ckelberg fields are given explicitly, showing…

High Energy Physics - Theory · Physics 2015-06-05 Tsutomu Kobayashi , Masaru Siino , Masahide Yamaguchi , Daisuke Yoshida

The classical procedures which define the relativistic notion of space-time can be implemented in the framework of Quantum Field Theory. Only relying on the conformal symmetries of field propagation, time-frequency transfer and localization…

General Relativity and Quantum Cosmology · Physics 2013-02-27 Marc-Thierry Jaekel , Serge Reynaud

In cosmology, it has been a long-standing problem to establish a \emph{parameter insensitive} evolution from an anisotropic phase to an isotropic phase. On the other hand, it is of great importance to construct a theory having extra…

High Energy Physics - Theory · Physics 2014-05-22 Houwen Wu , Haitang Yang

Strong gravitational lensing along with the distance sum rule method can constrain both cosmological parameters as well as density profiles of galaxies without assuming any fiducial cosmological model. To constrain galaxy parameters and…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-17 Darshan Kumar , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee , Nisha Rani