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This review explores modified theories of gravity, particularly $f(R)$ gravity, as extensions to General Relativity (GR) that offer alternatives to dark energy for explaining cosmic acceleration. These models generalize the Einstein-Hilbert…

广义相对论与量子宇宙学 · 物理学 2025-03-05 Rafid H. Dejrah

A type of exponential correction to General Relativity gives viable modified gravity model of dark energy. The model behaves as $R-2\Lambda$ at large curvature where an effective cosmological constant appears, but it becomes zero in flat…

广义相对论与量子宇宙学 · 物理学 2022-01-13 L. N. Granda

The exponential $f(R)$ gravity model provides a theoretically well-motivated extension of General Relativity, introducing a modified gravitational dynamics at late times consistent with a dynamical dark energy scenario, while recovering the…

广义相对论与量子宇宙学 · 物理学 2025-11-11 Simone D'Onofrio , Sergei Odintsov , Tiziano Schiavone

Galaxy clustering is an important probe in the upcoming China Space Station Telescope (CSST) survey to understand the structure growth and reveal the nature of the dark sector. However, it is a long-term challenge to model this biased…

宇宙学与河外天体物理 · 物理学 2025-10-01 Shuren Zhou , Zhao Chen , Yu Yu

One of the most favourable extensions of General Relativity is the $f(R)$ gravity. $f(R)$ gravity in Palatini formalism can be a realistic alternative to the dark energy problem. In this work we study a recently introduced dark energy…

广义相对论与量子宇宙学 · 物理学 2022-05-20 Dhruba Jyoti Gogoi , Umananda Dev Goswami

We present a general parallelized and easy-to-use code to perform numerical simulations of structure formation using the COLA (COmoving Lagrangian Acceleration) method for cosmological models that exhibit scale-dependent growth at the level…

宇宙学与河外天体物理 · 物理学 2017-08-09 Hans A. Winther , Kazuya Koyama , Marc Manera , Bill S. Wright , Gong-Bo Zhao

This thesis explores the cosmological implications of modified gravity, focusing on nonmetricity-based $f(Q)$ gravity as an alternative to the $\Lambda$CDM model in explaining cosmic acceleration. Chapter I lays the theoretical groundwork…

广义相对论与量子宇宙学 · 物理学 2025-04-15 Gaurav N. Gadbail

Several models based on General Relativity and Modified Gravity aim to reproduce the observed universe with precision comparable to the flat-$\Lambda$CDM cosmological model. In this study, we investigate the consistency of some of these…

宇宙学与河外天体物理 · 物理学 2025-12-05 Fernanda Oliveira , Bruno Ribeiro , Wiliam S. Hipólito-Ricaldi , Felipe Avila , Armando Bernui

The clustering ratio $\eta$, a large-scale structure observable originally designed to constrain the shape of the power spectrum of matter density fluctuations, is shown to provide a sensitive probe of the nature of gravity in the…

宇宙学与河外天体物理 · 物理学 2015-05-27 Julien Bel , Philippe Brax , Christian Marinoni , Patrick Valageas

This thesis introduces a set of methods for testing models of modified gravity using galaxy clusters. In particular, a technique for constraining models with a chameleon screening is introduced. In addition, the outlined technique is…

宇宙学与河外天体物理 · 物理学 2020-11-18 Andrius Tamosiunas

We address the cosmological role of an additional ${\cal O}(1)$ eV sterile neutrino in modified gravity models. We confront the present cosmological data with predictions of the FLRW cosmological model based on a variant of $f(R)$ modified…

宇宙学与河外天体物理 · 物理学 2015-05-14 A. S. Chudaykin , D. S. Gorbunov , A. A. Starobinsky , R. A. Burenin

We have investigated the evolution of a homogeneous isotropic background of the Universe and inhomogeneous subhorizon matter density perturbations in viable $f(R)$ models of present dark energy and cosmic acceleration analytically and…

宇宙学与河外天体物理 · 物理学 2011-08-05 Hayato Motohashi , Alexei A. Starobinsky , Jun'ichi Yokoyama

Since the discovery of the accelerated expansion of the Universe in 1998, modified gravity (MG) theories have attracted considerable attention as alternatives to dark energy (DE). While distinguishing the effects of MG from those of DE…

宇宙学与河外天体物理 · 物理学 2025-01-16 Alejandro Aviles

Using Subaru Hyper Suprime-Cam (HSC) year 1 data, we perform the first $k$-cut cosmic shear analysis constraining both $\Lambda$CDM and $f(R)$ Hu-Sawicki modified gravity. To generate the $f(R)$ cosmic shear theory vector, we use the matter…

宇宙学与河外天体物理 · 物理学 2021-10-22 Leah Vazsonyi , Peter L. Taylor , Georgios Valogiannis , Nesar S. Ramachandra , Agnès Ferté , Jason Rhodes

In this paper we place observational constraints on the well-known $\gamma$-gravity $f(R)$ model using the latest cosmological data, namely we use the latest growth rate, Cosmic Microwave Background, Baryon Acoustic Oscillations, Supernovae…

宇宙学与河外天体物理 · 物理学 2018-07-17 Clara Álvarez Luna , Spyros Basilakos , Savvas Nesseris

Ground and space-based sky surveys enable powerful cosmological probes based on measurements of galaxy properties and the distribution of galaxies in the Universe. These probes include weak lensing, baryon acoustic oscillations, abundance…

We present a Gaussian-process (GP) emulator for the monopole of the redshift-space halo power spectrum in $\Lambda$CDM cosmologies with massive neutrinos. The emulator is trained on 1000 COLA simulations distributed in a Latin-hypercube…

宇宙学与河外天体物理 · 物理学 2026-04-07 Jixin Gan , Yonghao Feng , Gong-Bo Zhao

We use the emulation framework CosmoPower to construct and publicly release neural network emulators of cosmological observables, including the Cosmic Microwave Background (CMB) temperature and polarization power spectra, matter power…

宇宙学与河外天体物理 · 物理学 2023-03-06 Boris Bolliet , Alessio Spurio Mancini , J. Colin Hill , Mathew Madhavacheril , Hidde T. Jense , Erminia Calabrese , Jo Dunkley

Cosmography is a useful tool to constrain cosmological models, in particular dark energy models. In the case of modified theories of gravity, where the equations of motion are generally quite complicated, cosmography can contribute to…

广义相对论与量子宇宙学 · 物理学 2010-12-23 Mariam Bouhmadi-Lopez , Salvatore Capozziello , Vincenzo F. Cardone

The statistical properties of dark matter halos, the building blocks of cosmological observables associated with structure in the universe, offer many opportunities to test models for cosmic acceleration, especially those that seek to…

天体物理学 · 物理学 2009-10-02 Fabian Schmidt , Marcos Lima , Hiroaki Oyaizu , Wayne Hu