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In this paper we lay down the foundations for a purely Newtonian theory of cosmology, valid at scales small compared with the Hubble radius, using only Newtonian point particles acted on by gravity and a possible cosmological term. We…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-05 Gary W Gibbons , George F R Ellis

We study the phenomenological consequences of the recently proposed idea of a running gravitational coupling on macroscopic scales. When applied to the rotation curves of galaxies, we find that their flatness requires the presence of…

Astrophysics · Physics 2010-11-01 Orfeu Bertolami , Juan Garcia-Bellido

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

We compare the cosmological first-order post-Newtonian (1PN) approximation with the relativistic cosmological linear perturbation theory in a zero-pressure medium with the cosmological constant. We compare equations and solutions in several…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Hyerim Noh , Jai-chan Hwang

Chameleon and similar (symmetron and dilation) theories of gravity can exhibit new and interesting features on cosmological scales whilst screening the modifications on small scales thereby satisfying solar system tests of general…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-17 Jeremy Sakstein

We discuss a covariant generalization of the parametrized post-Newtonian (PPN) formalism in a class of scalar-tensor theories of gravity. It includes an exact construction of a set of global and local (Fermi-like) references frames for an…

General Relativity and Quantum Cosmology · Physics 2009-01-14 Sergei Kopeikin , Igor Vlasov

We study the implications of a combined analysis of cosmic standard candles and standard rulers on the viability of cosmological models beyond the cosmological concordance model. To this end, we employ well-established data in the form of…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-19 Manfred Lindner , Kevin Max , Moritz Platscher , Jonas Rezacek

A major challenge at the interface of quantum gravity and cosmology is to explain the emergence of the large-scale structure of the Universe from Planck scale physics. In this letter, we extract the dynamics of scalar isotropic cosmological…

General Relativity and Quantum Cosmology · Physics 2024-08-23 Alexander F. Jercher , Luca Marchetti , Andreas G. A. Pithis

The Euclid mission has the potential to understand the fundamental physical nature of late-time cosmic acceleration and, as such, of deviations from the standard cosmological model, LCDM. In this paper, we focus on model-independent methods…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-04 Euclid Collaboration , I. S. Albuquerque , N. Frusciante , Z. Sakr , S. Srinivasan , L. Atayde , B. Bose , V. F. Cardone , S. Casas , M. Martinelli , J. Noller , E. M. Teixeira , D. B. Thomas , I. Tutusaus , M. Cataneo , K. Koyama , L. Lombriser , F. Pace , A. Silvestri , N. Aghanim , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Biviano , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , J. Carretero , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , L. Corcione , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , S. de la Torre , G. De Lucia , A. M. Di Giorgio , H. Dole , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , A. Ealet , S. Escoffier , M. Farina , S. Farrens , F. Faustini , S. Ferriol , F. Finelli , P. Fosalba , S. Fotopoulou , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Gillis , C. Giocoli , J. Gracia-Carpio , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , S. Ilić , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , M. Moresco , L. Moscardini , R. C. Nichol , S. -M. Niemi , J. W. Nightingale , C. Padilla , S. Paltani , F. Pasian , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , D. Sapone , B. Sartoris , J. A. Schewtschenko , M. Schirmer , T. Schrabback , A. Secroun , E. Sefusatti , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , E. A. Valentijn , L. Valenziano , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , S. Matthew , N. Mauri , A. Pezzotta , M. Pöntinen , C. Porciani , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , V. Allevato , S. Alvi , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , M. Ballardini , D. Bertacca , A. Blanchard , L. Blot , S. Borgani , M. L. Brown , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , A. R. Cooray , S. Davini , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , A. G. Ferrari , I. Ferrero , A. Finoguenov , A. Fontana , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , A. Gregorio , M. Guidi , C. M. Gutierrez , S. Hemmati , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , S. Lee , J. Le Graet , L. Legrand , M. Lembo , J. Lesgourgues , T. I. Liaudat , A. Loureiro , J. Macias-Perez , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Migliaccio , M. Miluzio , P. Monaco , C. Moretti , G. Morgante , C. Murray , S. Nadathur , K. Naidoo , Nicholas A. Walton , K. Paterson , L. Patrizii , A. Pisani , V. Popa , D. Potter , I. Risso , P. -F. Rocci , M. Sahlén , E. Sarpa , A. Schneider , M. Schultheis , D. Sciotti , E. Sellentin , M. Sereno , L. C. Smith , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , C. Valieri , D. Vergani , F. Vernizzi , G. Verza , P. Vielzeuf

This paper is concerned with theories of gravity that contain a scalar coupled both conformally and disformally to matter through the metric. By systematically deriving the non-relativistic limit, it is shown that no new non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-10 Jeremy Sakstein

One of the most powerful cosmological datasets when it comes to constraining neutrino masses is represented by galaxy power spectrum measurements, $P_{gg}(k)$. The constraining power of $P_{gg}(k)$ is however severely limited by…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-18 Elena Giusarma , Sunny Vagnozzi , Shirley Ho , Simone Ferraro , Katherine Freese , Rocky Kamen-Rubio , Kam-Biu Luk

Applying the recently developed dynamical perturbation formalism on cosmological background to scalar-tensor theory, we provide a solid theoretical basis and a rigorous justification for phenomenological models of orbital dynamics that are…

General Relativity and Quantum Cosmology · Physics 2017-07-13 Andrei Galiautdinov , Sergei M. Kopeikin

The Cosmological Principle (CP) -- the notion that the Universe is spatially isotropic and homogeneous on large scales -- underlies a century of progress in cosmology. It is conventionally formulated through the…

Some time ago Mbelek and Lachieze-Rey proposed that the discrepancy between the results of the various measurements of Newton's constant could be explained by introducing a gravielectric coupling between the Earth's gravitational and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andreas Rathke

Massive neutrinos and $f(R)$ modified gravity have degenerate observational signatures that can impact the interpretation of results in galaxy survey experiments, such as cosmological parameter estimations and gravity model tests. Because…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-22 Renate Mauland , Øystein Elgarøy , David Fonseca Mota , Hans Arnold Winther

We develop a new approach to building cosmological models, in which small pieces of perturbed Minkowski space are joined together at reflection-symmetric boundaries in order to form a global, dynamical space-time. Each piece of this…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Viraj A. A. Sanghai , Timothy Clifton

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

This paper is a pedagogical introduction to models of gravity and how to constrain them through cosmological observations. We focus on the Horndeski scalar-tensor theory and on the quantities that can be measured with a minimum of…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-27 Luca Amendola , Dario Bettoni , Ana Marta Pinho , Santiago Casas

A minimal model based on the Co-varying Physical Couplings (CPC) framework for gravity is proposed. The CPC framework is based on the assumptions of a metric-compatible four-dimensional Riemannian manifold where a covariantly conserved…

General Relativity and Quantum Cosmology · Physics 2023-01-03 R. R. Cuzinatto , R. F. L. Holanda , S. H. Pereira

Scalar-tensor theories of gravity modify General Relativity by introducing a scalar field that couples non-minimally to the metric tensor, while satisfying the weak-equivalence principle. These theories are interesting because they have the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 David Anderson , Nicolas Yunes
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