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The $\Lambda$CDM model successfully explains the majority of cosmological observations. However, the $\Lambda$CDM model is challenged by Hubble tension, a remarkable difference of Hubble constant $H_0$ between measurements from local probe…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-18 Q. Wu , G. Q. Zhang , F. Y. Wang

Observational tests for the Cosmological Principle are reviewed. Assuming the FRW metric we then summarize estimates of cosmological parameters from various data sets, in particular the Cosmic Microwave Background and the 2dF galaxy…

Astrophysics · Physics 2008-11-26 Ofer Lahav

We measure the current expansion rate of the Universe, Hubble's constant $H_0$, by calibrating the absolute magnitudes of supernovae to distances measured by Baryon Acoustic Oscillations. This `inverse distance ladder' technique provides an…

The cosmic distance duality relation (CDDR), eta(z)=(1+z)^2 d_A(z)/d_L(z)=1, is one of the most fundamental and crucial formulae in cosmology. This relation couples the luminosity and angular diameter distances, two of the most often used…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-10 Jin Qin , Fulvio Melia , Tong-Jie Zhang

In this work, we reconstruct the H(z) based on observational Hubble data with Artificial Neural Network, then estimate the cosmological parameters and the Hubble constant. The training data we used are covariance matrix and mock H(z), which…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-23 Jie-feng Chen , Tong-Jie Zhang , Peng He , Tingting Zhang , Jie Zhang

Cosmological distances are fundamental observables in cosmology. The luminosity ($D_L$), angular diameter ($D_A$) and gravitational wave ($D_{\rm GW}$) distances are all trivially related in General Relativity assuming no significant…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-07 Isabela Matos , Miguel Quartin , Luca Amendola , Martin Kunz , Riccardo Sturani

We establish a cosmological-model-independent method to determine the Hubble constant $H_0$ from the localized fast radio bursts (FRBs) and the Hubble parameter measurements from cosmic chronometers and obtain a first such determination…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-12 Yang Liu , Hongwei Yu , Puxun Wu

We present a geometric embedding method that exploits the exact kinematic relation $\dot{z} = H_0(1 + z) - H(z)$ to transform redshift misalignment between Cosmic Chronometer (CC) and Sandage-Loeb (SL) datasets into fundamental constraints…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-03 Kang Jiao , Tong-Jie Zhang , Liang Gao , Yun Chen

We extract observational constraints on $f(T)$ gravity, using the recently proposed statistical method which is not affected by the value of $H_0$ and thus it bypasses the problem of the disagreement in its exact numerical value between…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-15 S. Basilakos , S. Nesseris , F. K. Anagnostopoulos , E. N. Saridakis

We present a cosmographic study designed to test the simplest type of accelerating cosmology: a flat universe with matter and a cosmological constant ($\Lambda$). Hubble series expansions are fit to the SCP Union2.1 supernova data set to…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-17 Brett Bochner , Damon Pappas , Menglu Dong

The Hubble parameter $H(z)$ is directly related to the expansion of our Universe. It can be used to study dark energy and constrain cosmology models. In this paper, we propose that $H(z)$ can be measured using fast radio bursts (FRBs) with…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-27 Q. Wu , Hai Yu , F. Y. Wang

Determining the spatial curvature ($\Omega_k$) independent of cosmic microwave background observations plays a key role in revealing the physics of the early universe. The Hubble tension is one of the most serious issues in modern…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-01 Sy-Yun Pu , Teppei Okumura , Chian-Chou Chen , Takahiro Nishimichi , Kazuyuki Akitsu

A new class of FLRW cosmological models with time-evolving fundamental parameters should emerge naturally from a description of the expansion of the universe based on the first principles of quantum field theory and string theory. Within…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-09 Javier Grande , Joan Sola , Spyros Basilakos , Manolis Plionis

Geometrical tests such as the combination of the Hubble parameter H(z) and the angular diameter distance d_A(z) can, in principle, break the degeneracy between the dark energy equation of state parameter w(z), and the spatial curvature…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 G. Barenboim , E. Fernandez-Martinez , O. Mena , L. Verde

We reverse the logic behind the apparent existence of $H_0$-tension, to design diagnostics for cosmological models. The basic idea is that the non-constancy of $H_0$ inferred from observations at different redshifts is a null hypothesis…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-01 Chethan Krishnan , Ranjini Mondol

In this letter, we propose an improved cosmological model independent method of determining the value of the Hubble constant $H_0$. The method uses unanchored luminosity distances $H_0d_L(z)$ from SN Ia Pantheon data combined with angular…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Tonghua Liu , Xiyan Yang , Zisheng Zhang , Jieci Wang , Marek Biesiada

The Hubble constant ${H}_0$ is a crucial parameter in cosmology. However, different cosmic observations have resulted in varying posterior results for ${H}_0$, leading to what is known as the ${H}_0$ tension. In order to address this issue,…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-18 Jiaze Gao , Zhihuan Zhou , Minghui Du , Rui Zou , Jianping Hu , Lixin Xu

We perform a cosmographic analysis using several cosmological observables such as the luminosity distance moduli, the volume distance, the angular diameter distance and the Hubble parameter. These quantities are determined using different…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Jun-Qing Xia , Vincenzo Vitagliano , Stefano Liberati , Matteo Viel

We suggest a crucial direct-observational test for measuring distinction between the standard $\Lambda$CDM model and recently proposed phantom dark energy positive curvature cosmological model. The test is based on the fundamental…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-20 S. I. Shirokov , Yu. V. Baryshev

Although the cosmic curvature has been tightly constrained in the standard cosmological model using observations of cosmic microwave background anisotropies, it is still of great importance to independently measure this key parameter using…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-29 Yan-Jin Wang , Jing-Zhao Qi , Bo Wang , Jing-Fei Zhang , Jing-Lei Cui , Xin Zhang