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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 study the expected variance of measurements of the Hubble constant, $H_0$, as calculated in either linear perturbation theory or using non-linear velocity power spectra derived from $N$-body simulations. We compare the variance with that…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-27 Io Odderskov , Steen Hannestad , Jacob Brandbyge

According to astrophysical observations value of recession velocity in a certain point is proportional to a distance to this point. The proportionality coefficient is the Hubble constant measured with 5% accuracy. It is used in many…

General Physics · Physics 2017-06-16 Zeinulla Zhanabaev , Serik Khokhlov , Aldiyar Agishev

The estimation of the Hubble constant in the past few decades has increasingly become more accurate with the advance of new techniques. But its value seems to depend on the epoch at which the measurements are made. The Planck estimate of…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Louise Rebecca , C Sivaram , Dominic Sebastian , Kenath Arun

Recent observations of Cepheids in the Virgo cluster have bolstered the evidence that supports a Hubble constant in 70-90 km/s/Mpc range. This evidence, by and large, probes the expansion of the Universe within 100 Mpc. We investigate the…

Astrophysics · Physics 2015-06-24 Xiangdong Shi , Lawrence M. Widrow , L. Jonathan Dursi

The recent transition from decelerated to accelerated expansion can be seen as a reflection (or "bounce") in the connection variable, defined by the inverse comoving Hubble length ($b=\dot a$, on-shell). We study the quantum cosmology of…

General Relativity and Quantum Cosmology · Physics 2022-10-06 Bruno Alexandre , Joao Magueijo

The interpretation of cosmological observations relies on a notion of an average Universe, which is usually considered as the homogeneous and isotropic Friedmann-Lema\^itre-Robertson-Walker (FLRW) model. However, inhomogeneities may…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-24 Michel-Andrès Breton , Pierre Fleury

In a fully inhomogeneous, anisotropic cosmological simulation performed by solving Einstein's equations with numerical relativity, we find a local measurement of the effective Hubble parameter differs by less than 1\% compared to the global…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-10 Hayley J. Macpherson , Paul D. Lasky , Daniel J. Price

The local expansion rate of the Universe is parametrized by the Hubble constant, $H_0$, the ratio between recession velocity and distance. Different techniques lead to inconsistent estimates of $H_0$. Observations of Type Ia supernovae…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-17 Inh Jee , Sherry Suyu , Eiichiro Komatsu , Christopher D. Fassnacht , Stefan Hilbert , Léon V. E. Koopmans

The current discrepancy between the Hubble constant $H_0$ derived from the local distance ladder and from the cosmic microwave background is one of the most crucial issues in cosmology, as it possibly indicates unknown systematics or new…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-31 X. D. Jia , J. P. Hu , F. Y. Wang

The description of the cosmological expansion and its possible local manifestations via treating the proper conformal transformations as a coordinate transformation from a comoving Lorentz reference frame to an uniformly accelerated one is…

General Relativity and Quantum Cosmology · Physics 2008-06-03 L. M. Tomilchik

Observations recently suggest $4.4\sigma$ discrepancy between Hubble constant measured locally and that inferred from cosmic microwave background in standard cosmology. Either standard cosmology or local measurement might expect something…

General Relativity and Quantum Cosmology · Physics 2020-06-01 Zhe Chang , Qing-Hua Zhu

We propose a Bayesian meta-analysis to infer the current expansion rate of the Universe, called the Hubble constant ($H_0$), via time delay cosmography. Inputs of the meta-analysis are estimates of two properties for each pair of…

Applications · Statistics 2024-11-14 Hyungsuk Tak , Xuheng Ding

This paper discusses the leading-order correction induced by cosmological perturbations on the average expansion rate of an expanding spacetime, containing one or many perfect fluids. The calculation is carried out up to the second order in…

General Relativity and Quantum Cosmology · Physics 2023-04-28 Vincent Comeau

One of main sources of uncertainty in modern cosmology is the present rate of the universe's expansion, H0, called the Hubble constant. Once again, different observational techniques bring about different results, causing new 'Hubble…

History and Philosophy of Physics · Physics 2023-12-29 Jorge L. Cervantes-Cota , Salvador Galindo-Uribarri , George F. Smoot

The Hubble constant, which measures the expansion rate, together with the total energy density of the Universe, sets the size of the observable Universe, its age, and its radius of curvature. Excellent progress has been made recently toward…

Astrophysics · Physics 2008-11-26 Wendy L. Freedman

We consider cosmological backreaction effects in Buchert's averaging formalism on the basis of an explicit solution of the Lema\^itre-Tolman-Bondi (LTB) dynamics which is linear in the LTB curvature parameter and has an inhomogeneous bang…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Eddy G. Chirinos Isidro , Rodrigo M. Barbosa , Oliver F. Piattella , Winfried Zimdahl

We study the effect of cosmological expansion on orbits--galactic, planetary, or atomic--subject to an inverse-square force law. We obtain the laws of motion for gravitational or electrical interactions from general relativity--in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gregory S. Adkins , Jordan McDonnell , Richard N. Fell

The Hubble constant ($H_{0}$) is a measurement to describe the expansion rate of the Universe in the current era. However, there is a $4.4\sigma$ discrepancy between the measurements from the early Universe and the late Universe. In this…

The existence of 'peculiar' velocities due to the formation of cosmic structure marks a point of discord between the real Universe and the usually assumed Friedmann-Lema\'{i}tre-Robertson-Walker metric which accomodates only the smooth…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-09 Roya Mohayaee , Mohamed Rameez , Subir Sarkar