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We present an elementary account of mathematical cosmology through a series of important unsolved problems. We introduce the fundamental notion of `a cosmology' and focus on the issue of singularities as a theme unifying many current,…

General Relativity and Quantum Cosmology · Physics 2016-01-28 Spiros Cotsakis

Two fundamental laws are needed for prediction in the universe: (1) a basic dynamical law and (2) a law for the cosmological initial condition. Quantum cosmology is the area of basic research concerned with the search for a theory of the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 James B. Hartle

The $\rm\Lambda$CDM cosmological model is remarkable: with just 6 parameters it describes the evolution of the Universe from a very early time when all structures were quantum fluctuations on subatomic scales to the present, and it is…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-07 Michael S. Turner

This lecture is an introduction to cosmological tests with clusters of galaxies. Here I do not intend to provide a complete review of the subject, but rather to describe the basic procedures to set up the fitting machinery to constrain…

Astrophysics · Physics 2008-11-26 Paolo Tozzi

An introduction to solutions of the Einstein equations defining cosmological models with accelerated expansion is given. Connections between mathematical and physical issues are explored. Theorems which have been proved for solutions with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Alan D. Rendall

In this paper we will list a few important goals that need to be addressed in the next decade, also taking into account the current discordances between the different cosmological probes, such as the disagreement in the value of the Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-10 Elcio Abdalla , Guillermo Franco Abellán , Amin Aboubrahim , Adriano Agnello , Ozgur Akarsu , Yashar Akrami , George Alestas , Daniel Aloni , Luca Amendola , Luis A. Anchordoqui , Richard I. Anderson , Nikki Arendse , Marika Asgari , Mario Ballardini , Vernon Barger , Spyros Basilakos , Ronaldo C. Batista , Elia S. Battistelli , Richard Battye , Micol Benetti , David Benisty , Asher Berlin , Paolo de Bernardis , Emanuele Berti , Bohdan Bidenko , Simon Birrer , John P. Blakeslee , Kimberly K. Boddy , Clecio R. Bom , Alexander Bonilla , Nicola Borghi , François R. Bouchet , Matteo Braglia , Thomas Buchert , Elizabeth Buckley-Geer , Erminia Calabrese , Robert R. Caldwell , David Camarena , Salvatore Capozziello , Stefano Casertano , Angela Chen , Geoff C. F. Chen , Hsin-Yu Chen , Jens Chluba , Anton Chudaykin , Michele Cicoli , Craig J. Copi , Fred Courbin , Francis-Yan Cyr-Racine , Bozena Czerny , Maria Dainotti , Guido D'Amico , Anne-Christine Davis , Javier de Cruz Pérez , Jaume de Haro , Jacques Delabrouille , Peter B. Denton , Suhail Dhawan , Keith R. Dienes , Eleonora Di Valentino , Pu Du , Dominique Eckert , Celia Escamilla-Rivera , Agnès Ferté , Fabio Finelli , Pablo Fosalba , Wendy L. Freedman , Noemi Frusciante , Enrique Gaztañaga , William Giarè , Elena Giusarma , Adrià Gómez-Valent , Will Handley , Ian Harrison , Luke Hart , Dhiraj Kumar Hazra , Alan Heavens , Asta Heinesen , Hendrik Hildebrandt , J. Colin Hill , Natalie B. Hogg , Daniel E. Holz , Deanna C. Hooper , Nikoo Hosseininejad , Dragan Huterer , Mustapha Ishak , Mikhail M. Ivanov , Andrew H. Jaffe , In Sung Jang , Karsten Jedamzik , Raul Jimenez , Melissa Joseph , Shahab Joudaki , Mark Kamionkowski , Tanvi Karwal , Lavrentios Kazantzidis , Ryan E. Keeley , Michael Klasen , Eiichiro Komatsu , Léon V. E. Koopmans , Suresh Kumar , Luca Lamagna , Ruth Lazkoz , Chung-Chi Lee , Julien Lesgourgues , Jackson Levi Said , Tiffany R. Lewis , Benjamin L'Huillier , Matteo Lucca , Roy Maartens , Lucas M. Macri , Danny Marfatia , Valerio Marra , Carlos J. A. P. Martins , Silvia Masi , Sabino Matarrese , Arindam Mazumdar , Alessandro Melchiorri , Olga Mena , Laura Mersini-Houghton , James Mertens , Dinko Milakovic , Yuto Minami , Vivian Miranda , Cristian Moreno-Pulido , Michele Moresco , David F. Mota , Emil Mottola , Simone Mozzon , Jessica Muir , Ankan Mukherjee , Suvodip Mukherjee , Pavel Naselsky , Pran Nath , Savvas Nesseris , Florian Niedermann , Alessio Notari , Rafael C. Nunes , Eoin Ó Colgáin , Kayla A. Owens , Emre Ozulker , Francesco Pace , Andronikos Paliathanasis , Antonella Palmese , Supriya Pan , Daniela Paoletti , Santiago E. Perez Bergliaffa , Leadros Perivolaropoulos , Dominic W. Pesce , Valeria Pettorino , Oliver H. E. Philcox , Levon Pogosian , Vivian Poulin , Gaspard Poulot , Marco Raveri , Mark J. Reid , Fabrizio Renzi , Adam G. Riess , Vivian I. Sabla , Paolo Salucci , Vincenzo Salzano , Emmanuel N. Saridakis , Bangalore S. Sathyaprakash , Martin Schmaltz , Nils Schöneberg , Dan Scolnic , Anjan A. Sen , Neelima Sehgal , Arman Shafieloo , M. M. Sheikh-Jabbari , Joseph Silk , Alessandra Silvestri , Foteini Skara , Martin S. Sloth , Marcelle Soares-Santos , Joan Solà Peracaula , Yu-Yang Songsheng , Jorge F. Soriano , Denitsa Staicova , Glenn D. Starkman , István Szapudi , Elsa M. Teixeira , Brooks Thomas , Tommaso Treu , Emery Trott , Carsten van de Bruck , J. Alberto Vazquez , Licia Verde , Luca Visinelli , Deng Wang , Jian-Min Wang , Shao-Jiang Wang , Richard Watkins , Scott Watson , John K. Webb , Neal Weiner , Amanda Weltman , Samuel J. Witte , Radosław Wojtak , Anil Kumar Yadav , Weiqiang Yang , Gong-Bo Zhao , Miguel Zumalacárregui

This is a broad and in places unconventional overview of the strengths and shortcomings of our standard models of fundamental physics and of cosmology. The emphasis is on ideas that have accessible experimental consequences. It becomes…

Astrophysics · Physics 2009-11-10 Frank Wilczek

We summarise the current status of cosmic microwave background spectrum and anisotropy measurements, and their theoretical interpretation. This is the update of the mini-review for the 1997 web-version of the Review of Particle Properties.

Astrophysics · Physics 2007-05-23 George Smoot , Douglas Scott

Modern cosmology has created a tight link between particle physics / field theory and a wealth of new observational data on the structure of the Universe. These lecture notes focus on some of the most important aspects concerning the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert H. Brandenberger

The first section discusses a recalibration of the luminosity-linewidth technique and its use in a determination of H_0. The recalibration introduces (i) new cluster calibration data, (ii) new corrections for reddening as a function of…

Astrophysics · Physics 2007-05-23 R. Brent Tully

A cosmological model is proposed for the current Universe consisted of non-interacting baryonic matter and interacting dark components. The dark energy and dark matter are coupled through their effective barotropic indexes, which are…

Astrophysics · Physics 2009-06-15 Luis P. Chimento , Monica Forte , Gilberto M. Kremer

In these lectures the present status of the so-called standard cosmological model, based on the hot Big Bang theory and the inflationary paradigm is reviewed. Special emphasis is given to the origin of the cosmological perturbations we see…

High Energy Physics - Phenomenology · Physics 2017-01-26 A. Riotto

Cosmological observations are a powerful probe of neutrino properties, and in particular of their mass. In this review, we first discuss the role of neutrinos in shaping the cosmological evolution at both the background and perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Massimiliano Lattanzi , Martina Gerbino

We review current theoretical cosmology, including fundamental and mathematical cosmology and physical cosmology (as well as cosmology in the quantum realm), with an emphasis on open questions.

General Relativity and Quantum Cosmology · Physics 2020-05-26 A. A. Coley , G. F. R. Ellis

Cosmological observations are beginning to reach a level of precision that allow us to test some of the most fundamental assumptions in our working model of the Universe. One such an assumption is that gravity is governed by the General…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-11 Pedro G. Ferreira

We overview our recent studies of cosmological models with expansion and global rotation. Problems of the early rotating models are discussed, and the class of new viable cosmologies is described in detail. Particular attention is paid to…

General Relativity and Quantum Cosmology · Physics 2016-10-26 V. A. Korotky , Yu. N. Obukhov

The flat matter dominated Universe that dominated cosmological model building for much of the past 20 years does not correspond to the Universe in which we live. This has profound implications both for our understanding of dark matter, and…

Astrophysics · Physics 2007-05-23 Lawrence M. Krauss

Simple functional relations amongst standard model couplings, including gravitional, are conjectured. Possible implications for cosmology and future theory are discussed.

High Energy Physics - Phenomenology · Physics 2009-11-07 James. D. Bjorken

The current standard cosmological model is constructed within the framework of general relativity with a cosmological constant $\Lambda$, which is often associated with dark energy, and phenomenologically explains the accelerated cosmic…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Jiamin Hou , Julian Bautista , Maria Berti , Carolina Cuesta-Lazaro , César Hernández-Aguayo , Tilman Tröster , Jinglan Zheng