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We review a few off-the-beaten-track ideas in cosmology. They solve a variety of fundamental problems; also they are fun. We start with a description of non-singular dilaton cosmology. In these scenarios gravity is modified so that the…

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

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

Invited contribution to the Encyclopedia of Mathematical Physics (2nd edition), providing an overview over some main ideas and results in quantum cosmology. Key points: Canonical quantisation of homogeneous, isotropic cosmology; discussion…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Steffen Gielen

A non-singular bouncing cosmology is generically obtained in loop quantum cosmology due to non-perturbative quantum gravity effects. A similar picture can be achieved in standard general relativity in the presence of a scalar field with a…

General Relativity and Quantum Cosmology · Physics 2014-03-17 Yi-Fu Cai , Edward Wilson-Ewing

A companion paper provides a proposal for cosmic singularity resolution based upon general features of a bouncing unitary cosmological model in the mini-superspace approximation. This paper analyses novel phenomenology that can be…

General Relativity and Quantum Cosmology · Physics 2018-12-17 Sean Gryb , Karim P. Y. Thébault

Bouncing cosmologies, suggested by String/M-theory, may provide an alternative to standard inflation to account for the origin of inhomogeneities in our universe. The fundamental question regards the correct way to evolve the scalar…

High Energy Physics - Theory · Physics 2009-11-11 V. Bozza

Scenario bouncing can give the cosmology singularity problem a possible way out. Finding a solution for the universe's bouncing model requires proper estimation of the state equation. We present two such state equations that give us the…

General Relativity and Quantum Cosmology · Physics 2020-12-29 C. Swastik , P K Suresh , Barun Maity

The standard model of cosmology has provided a good phenomenological description of a wide range of observations both at astrophysical and cosmological scales for several decades. This concordance model is constructed by a universal…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-26 Eleonora Di Valentino , Jackson Levi Said , Adam Riess , Agnieszka Pollo , Vivian Poulin , Adrià Gómez-Valent , Amanda Weltman , Antonella Palmese , Caroline D. Huang , Carsten van de Bruck , Chandra Shekhar Saraf , Cheng-Yu Kuo , Cora Uhlemann , Daniela Grandón , Dante Paz , Dominique Eckert , Elsa M. Teixeira , Emmanuel N. Saridakis , Eoin Ó Colgáin , Florian Beutler , Florian Niedermann , Francesco Bajardi , Gabriela Barenboim , Giulia Gubitosi , Ilaria Musella , Indranil Banik , Istvan Szapudi , Jack Singal , Jaume Haro Cases , Jens Chluba , Jesús Torrado , Jurgen Mifsud , Karsten Jedamzik , Khaled Said , Konstantinos Dialektopoulos , Laura Herold , Leandros Perivolaropoulos , Lei Zu , Lluís Galbany , Louise Breuval , Luca Visinelli , Luis A. Escamilla , Luis A. Anchordoqui , M. M. Sheikh-Jabbari , Margherita Lembo , Maria Giovanna Dainotti , Maria Vincenzi , Marika Asgari , Martina Gerbino , Matteo Forconi , Michele Cantiello , Michele Moresco , Micol Benetti , Nils Schöneberg , Özgür Akarsu , Rafael C. Nunes , Reginald Christian Bernardo , Ricardo Chávez , Richard I. Anderson , Richard Watkins , Salvatore Capozziello , Siyang Li , Sunny Vagnozzi , Supriya Pan , Tommaso Treu , Vid Irsic , Will Handley , William Giarè , Yukei Murakami , Adèle Poudou , Alan Heavens , Alan Kogut , Alba Domi , Aleksander Łukasz Lenart , Alessandro Melchiorri , Alessandro Vadalà , Alexandra Amon , Alexander Bonilla , Alexander Reeves , Alexander Zhuk , Alfio Bonanno , Ali Övgün , Alice Pisani , Alireza Talebian , Amare Abebe , Amin Aboubrahim , Ana Luisa González Morán , András Kovács , Andreas Papatriantafyllou , Andrew R. Liddle , Andreas Lymperis , Andronikos Paliathanasis , Andrzej Borowiec , Anil Kumar Yadav , Anita Yadav , Anjan Ananda Sen , Anjitha John William Mini Latha , Anne Christine Davis , Anowar J. Shajib , Anthony Walters , Anto Idicherian Lonappan , Anton Chudaykin , Antonio Capodagli , Antonio da Silva , Antonio De Felice , Antonio Racioppi , Araceli Soler Oficial , Ariadna Montiel , Arianna Favale , Armando Bernui , Arrianne Crystal Velasco , Asta Heinesen , Athanasios Bakopoulos , Athanasios Chatzistavrakidis , Bahman Khanpour , Bangalore S. Sathyaprakash , Bartek Zgirski , Benjamin L'Huillier , Benoit Famaey , Bhuvnesh Jain , Biesiada Marek , Bing Zhang , Biswajit Karmakar , Branko Dragovich , Brooks Thomas , Carlos Correa , Carlos G. Boiza , Catarina Marques , Celia Escamilla-Rivera , Charalampos Tzerefos , Chi Zhang , Chiara De Leo , Christian Pfeifer , Christine Lee , Christo Venter , Cláudio Gomes , Clecio Roque De bom , Cristian Moreno-Pulido , Damianos Iosifidis , Dan Grin , Daniel Blixt , Dan Scolnic , Daniele Oriti , Daria Dobrycheva , Dario Bettoni , David Benisty , David Fernández-Arenas , David L. Wiltshire , David Sanchez Cid , David Tamayo , David Valls-Gabaud , Davide Pedrotti , Deng Wang , Denitsa Staicova , Despoina Totolou , Diego Rubiera-Garcia , Dinko Milaković , Dom Pesce , Dominique Sluse , Duško Borka , Ebrahim Yusofi , Elena Giusarma , Elena Terlevich , Elena Tomasetti , Elias C. Vagenas , Elisa Fazzari , Elisa G. M. Ferreira , Elvis Barakovic , Emanuela Dimastrogiovanni , Emil Brinch Holm , Emil Mottola , Emre Özülker , Enrico Specogna , Enzo Brocato , Erik Jensko , Erika Antonette Enriquez , Esha Bhatia , Fabio Bresolin , Felipe Avila , Filippo Bouchè , Flavio Bombacigno , Fotios K. Anagnostopoulos , Francesco Pace , Francesco Sorrenti , Francisco S. N. Lobo , Frédéric Courbin , Frode K. Hansen , Greg Sloan , Gabriel Farrugia , Gabriel Lynch , Gabriela Garcia-Arroyo , Gabriella Raimondo , Gaetano Lambiase , Gagandeep S. Anand , Gaspard Poulot , Genly Leon , Gerasimos Kouniatalis , Germano Nardini , Géza Csörnyei , Giacomo Galloni , Giada Bargiacchi , Giannis Papagiannopoulos , Giovanni Montani , Giovanni Otalora , Giulia De Somma , Giuliana Fiorentino , Giuseppe Fanizza , Giuseppe Gaetano Luciano , Giuseppe Sarracino , Gonzalo J. Olmo , Goran S. Djordjević , Guadalupe Cañas-Herrera , Hanyu Cheng , Harry Desmond , Hassan Abdalla , Houzun Chen , Hsu-Wen Chiang , Hume A. Feldman , Hussain Gohar , Ido Ben-Dayan , Ignacio Sevilla-Noarbe , Ignatios Antoniadis , Ilim Cimdiker , Inês S. Albuquerque , Ioannis D. Gialamas , Ippocratis Saltas , Iryna Vavilova , Isidro Gómez-Vargas , Ismael Ayuso , Ismailov Nariman Zeynalabdi , Ivan De Martino , Ivonne Zavala , J. Alberto Vázquez , Jacobo Asorey , Janusz Gluza , Javier Rubio , Jenny G. Sorce , Jenny Wagner , Jeremy Sakstein , Jessica Santiago , Jim Braatz , Joan Solà Peracaula , John Blakeslee , John Webb , Jose A. R. Cembranos , José Pedro Mimoso , Joseph Jensen , Juan García-Bellido , Judit Prat , Kathleen Sammut , Kay Lehnert , Keith R. Dienes , Kishan Deka , Konrad Kuijken , Krishna Naidoo , László Árpád Gergely , Laur Järv , Laura Mersini-Houghton , Leila L. Graef , Léo Vacher , Levon Pogosian , Lilia Anguelova , Lindita Hamolli , Lu Yin , Luca Caloni , Luca Izzo , Lucas Macri , Luis E. Padilla , Luz Ángela García , Maciej Bilicki , Mahdi Najafi , Manolis Plionis , Manuel Gonzalez-Espinoza , Manuel Hohmann , Marcel A. van der Westhuizen , Marcella Marconi , Marcin Postolak , Marco de Cesare , Marco Regis , Marek Biesiada , Maret Einasto , Margus Saal , Maria Caruana , Maria Petronikolou , Mariam Bouhmadi-López , Mariana Melo , Mariaveronica De Angelis , Marie-Noëlle Célérier , Marina Cortês , Mark Reid , Markus Michael Rau , Martin S. Sloth , Martti Raidal , Masahiro Takada , Masoume Reyhani , Massimiliano Romanello , Massimo Marengo , Mathias Garny , Matías Leizerovich , Matteo Martinelli , Matteo Tagliazucchi , Mehmet Demirci , Miguel A. S. Pinto , Miguel A. Sabogal , Miguel A. García-Aspeitia , Milan Milošević , Mina Ghodsi , Mustapha Ishak , Nelson J. Nunes , Nick Samaras , Nico Hamaus , Nico Schuster , Nicola Borghi , Nicola Deiosso , Nicola Tamanini , Nicolao Fornengo , Nihan Katırcı , Nikolaos E. Mavromatos , Nicholas Petropoulos , Nikolina Šarčević , Nils A. Nilsson , Noemi Frusciante , Octavian Postavaru , Oem Trivedi , Oleksii Sokoliuk , Olga Mena , Paloma Morilla , Paolo Campeti , Paolo Salucci , Paula Boubel , Paweł Bielewicz , Pekka Heinämäki , Petar Suman , Petros Asimakis , Pierros Ntelis , Pilar Ruiz-Lapuente , Pran Nath , Predrag Jovanović , Purba Mukherjee , Radosław Wojtak , Rafaela Gsponer , Rafid H. Dejrah , Rahul Shah , Rasmi Hajjar , Rebecca Briffa , Rebecca Habas , Reggie C. Pantig , Renier Mendoza , Riccardo Della Monica , Richard Stiskalek , Rishav Roshan , Rita B. Neves , Roberto Molinaro , Roberto Terlevich , Rocco D'Agostino , Rodrigo Sandoval-Orozco , Ronaldo C. Batista , Ruchika Kaushik , Ruth Lazkoz , Saeed Rastgoo , Sahar Mohammadi , Salvatore Samuele Sirletti , Sandeep Haridasu , Sanjay Mandal , Saurya Das , Sebastian Bahamonde , Sebastian Grandis , Sebastian Trojanowski , Sergei D. Odintsov , Sergij Mazurenko , Shahab Joudaki , Sherry H. Suyu , Shouvik Roy Choudhury , Shruti Bhatporia , Shun-Sheng Li , Simeon Bird , Simon Birrer , Simone Paradiso , Simony Santos da Costa , Sofia Contarini , Sophie Henrot-Versillé , Spyros Basilakos , Stefano Casertano , Stefano Gariazzo , Stylianos A. Tsilioukas , Surajit Kalita , Suresh Kumar , Susana J. Landau , Sveva Castello , Swayamtrupta Panda , Tanja Petrushevska , Thanasis Karakasis , Thejs Brinckmann , Tiago B. Gonçalves , Tiziano Schiavone , Tom Abel , Tomi Koivisto , Torsten Bringmann , Umut Demirbozan , Utkarsh Kumar , Valerio Marra , Maurice H. P. M. van Putten , Vasileios Kalaitzidis , Vasiliki A. Mitsou , Vasilios Zarikas , Vedad Pasic , Venus Keus , Verónica Motta , Vesna Borka Jovanović , Víctor H. Cárdenas , Vincenzo Ripepi , Vincenzo Salzano , Violetta Impellizzeri , Vitor da Fonseca , Vittorio Ghirardini , Vladas Vansevičius , Weiqiang Yang , Wojciech Hellwing , Xin Ren , Yu-Min Hu , Yuejia Zhai , Abdul Malik Sultan , Adrienn Pataki , Alessandro Santoni , Aliya Batool , Aneta Wojnar , Arman Tursunov , Avik De , Ayush Hazarika , Baojiu Li , Benjamin Bose , Bivudutta Mishra , Bobomurat Ahmedov , Chandra Shekhar Saraf , Claudia Scóccola , Crescenzo Tortora , D'Arcy Kenworthy , Daniel E. Holz , David F. Mota , David S. Pereira , Devon M. Williams , Dillon Brout , Dong Ha Lee , Eduardo Guendelman , Edward Olex , Emanuelly Silva , Emre Onur Kahya , Enzo Brocato , Eva-Maria Mueller , Felipe Andrade-Oliveira , Feven Markos Hunde , F. R. Joaquim , Florian Pacaud , Francis-Yan Cyr-Racine , Pozo Nuñez , F. Gábor Rácz , Gene Carlo Belinario , Geraint F. Lewis , Gergely Dálya , Giorgio Laverda , Guido Risaliti , Guillermo Franco-Abellán , Hayden Zammit , Hayley Camilleri , Helene M. Courtois , Hooman Moradpour , Igor de Oliveira Cardoso Pedreira , Ilí dio Lopes , István Csabai , James W. Rohlf , J. Bogdanoska , Javier de Cruz Pérez , Joan Bachs-Esteban , Joseph Sultana , Julien Lesgourgues , Jun-Qian Jiang , Karem Peñaló Castillo , Kimet Jusufi , Lavinia Heisenberg , Laxmipriya Pati , Léon V. E. Koopmans , Lokesh kumar Duchaniya , Lucas Lombriser , Mahdieh Gol Bashmani Moghadam , María Pérez Garrote , Mariano Domínguez , Marine Samsonyan , Mark Pace , Martin Krššák , Masroor C. Pookkillath , Matteo Peronaci , Matteo Piani , Matthildi Raftogianni , Meet J. Vyas , Melina Michalopoulou , Merab Gogberashvili , Michael Klasen , Michele Cicoli , Michele Moresco , Miguel Quartin , Miguel Zumalacárregui , Milan S. Dimitrijević , Milos Dordevic , Mindaugas Karčiauskas , Morgan Le Delliou , Nastassia Grimm , Nicolás Augusto Kozameh , Nicoleta Voicu , Nicolina Pop , Nikos Chatzifotis , Oliver Fabio Piattella , Paula Boubel , Pedro da Silveira Ferreira , Péter Raffai , Peter Schupp , Pierros Ntelis , Pradyumn Kumar Sahoo , Roberto V. Maluf , Ruth Durrer , S. A. Kadam , Sabino Matarrese , Samuel Brieden , Santiago González-Gaitán , Santosh V. Lohakare , Scott Watson , Shao-Jiang Wang , Simão Marques Nunes , Soumya Chakrabarti , Suvodip Mukherjee , Tajron Jurić , Tessa Baker , Theodoros Nakas , Tiago Barreiro , Upala Mukhopadhyay , Veljko Vujčić , Violetta Sagun , Vladimir A. Srećković , Wangzheng Zhang , Yo Toda , Yun-Song Piao , Zahra Davari

In quantum cosmology, one applies quantum physics to the whole universe. While no unique version and no completely well-defined theory is available yet, the framework gives rise to interesting conceptual, mathematical and physical…

General Relativity and Quantum Cosmology · Physics 2015-01-21 Martin Bojowald

We study a novel class of nonsingular time-symmetric cosmological bounces. In this class of four dimensional models the bounce is induced by a perfect fluid with a negative energy density. Metric perturbations are solved in an analytic way…

High Energy Physics - Theory · Physics 2009-11-10 Fabio Finelli

We present a detailed study of a simple scalar field model that yields non-singular cosmological solutions. We study both the qualitative dynamics of the homogeneous and isotropic background and the evolution of inhomogeneous linear…

Astrophysics · Physics 2009-11-10 Laura E. Allen , David Wands

The big bang singularity could be understood as a breakdown of Einstein's General Relativity at very high energies. Adopting this viewpoint, other theories, that implement Einstein Cosmology at high energies, might solve the problem of the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Jaume Amorós , Jaume de Haro , Sergei D. Odintsov

The paper uses geometrical arguments to derive equations with relevance for cosmology; 5-dimensional spacetime is assumed because it has been shown in other works to provide a setting for significant unification of different areas of…

General Physics · Physics 2008-01-29 Jose B. Almeida

Quantum cosmology in the presence of a fundamental minimal length is analyzed in the context of the flat isotropic and the Taub cosmological models. Such minimal scale comes out from a generalized uncertainty principle and the quantization…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marco Valerio Battisti , Giovanni Montani

Quantum cosmology in general denotes the application of quantum physics to the whole universe and thus gives rise to many realizations and examples, covering problems at different mathematical and conceptual levels. It is related to quantum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald

A cosmological model with a specific form of the Hubble parameter is constructed in a flat homogeneous, and isotropic background in the framework of $f(R, T)$ gravity, where $R$ is the scalar curvature and $T$ is the trace of the…

General Relativity and Quantum Cosmology · Physics 2018-07-04 J. K. Singh , Kazuharu Bamba , Ritika Nagpal , S. K. J. Pacif

Cosmological inflation is a popular paradigm for understanding Cosmic Microwave Background Radiation (CMBR); however, it faces many conceptual challenges. An alternative mechanism to inflation for generating an almost scale-invariant…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-24 S. Mahesh Chandran , S. Shankaranarayanan

I present a streamlined review of how the separate universe approach to cosmological perturbation theory can be used to study the dynamics of long-wavelength scalar perturbations in loop quantum cosmology, and then use it to calculate how…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Edward Wilson-Ewing

When the scale factor of expansion of the universe is written as $ a(t)\equiv Ae^{\alpha(t)}$, with $A$ as some real constant and $\alpha(t)$ a real function, the gravitational action $I_G$ appears in the same form as the matter action…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Moncy Vilavinal John

In this paper, we have presented a bouncing cosmological model of the Universe in an extended theory of gravity. The dynamical behaviour of the model obtained from the flat FLRW space-time along with the violation of null energy condition…

General Relativity and Quantum Cosmology · Physics 2022-04-22 A. S. Agrawal , Francisco Tello-Ortiz , B. Mishra , S. K. Tripathy
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