Power of Observational Hubble Parameter Data: A Figure of Merit Exploration

Ma, Cong; Zhang, Tong-Jie

doi:10.1088/0004-637x/730/2/74

Cited by 124 publications

(129 citation statements)

References 72 publications

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“…[32] and [33]. We found that with current quality of simulated data, the GP method can recover and distinguish models with a different cosmic curvature with an order of 10 Based on a one-parameter extension to the sixparameter ΛCDM model, CMB data [9,34,35] provide a strong constraint on Ω (0)…”

Section: Discussionmentioning

confidence: 99%

“…Adopting the methodology in [32], we draw the error from a Gaussian distribution: σ E ∼ N (σ, ǫ) withσ = (σ + + σ − )/2 and ǫ = (σ + − σ − )/4, where σ + and σ − are the two straight lines that bound the uncertainties σ(z) of the observational E(z) data from above and below, respectively. Then E(z) sim is sampled from the Gaussian distribution E(z) sim ∼ N (E(z) f id , σ E ), where E(z) f id is the theoretical value from the fiducial model.…”

Section: Mock Datamentioning

confidence: 99%

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Null test of the cosmic curvature usingH(z)and supernovae data

2016

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We introduce a model-independent approach to the null test of the cosmic curvature which is geometrically related to the Hubble parameter H(z) and luminosity distance dL(z). Combining the independent observations of H(z) and dL(z), we use the model-independent smoothing technique, Gaussian processes, to reconstruct them and determine the cosmic curvature Ω (0) K in the null test relation. The null test is totally geometrical and does not assume any cosmological model. We show that the cosmic curvature Ω (0) K = 0 is consistent with current observational data sets, falling within the 1σ limit. To demonstrate the effect on the precision of the null test, we produce a series of simulated data of the models with different Ω 98.80.Es, 98.80Jk

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Section: Discussionmentioning

confidence: 99%

Section: Mock Datamentioning

confidence: 99%

Null test of the cosmic curvature usingH(z)and supernovae data

2016

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“…The H(z) data at 11 different redshifts were determined from the differential ages of red-envelope galaxies (Stern et al 2010), and two more Hubble parameter data points H(z = 0.24) = 79.69 ± 4.61 and H(z = 0.43) = 86.45 ± 5.96 were obtained by Gaztañaga et al (2009) from observations of BAO peaks (for a review of the observational H(z) data, see Zhang et al 2010). Studies using these newly H(z) data for cosmological constraint include Gong et al (2010), Liang et al (2010a), , Cao & Liang (2010), Zhang (2011), andWang (2010c). We emphasize the use of the Hubble constant H 0 in our analysis.…”

Section: The Observational H(z) Datamentioning

confidence: 99%

Observational constraints on interacting dark matter model without dark energy

Cao

Zhu

Liang

2011

A&A

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Aims. The interacting dark matter (IDM) scenario allows for the acceleration of the Universe without dark energy. Methods. We constrain the IDM model by using the newly revised observational data including H(z) data and Union2 SNe Ia via the Markov chain Monte Carlo method. Results. When mimicking the ΛCDM model, we obtain a more stringent upper limit to the effective annihilation term at κC 1 ≈ 10 −3.4 Gyr −1 , and a tighter lower limit to the relevant mass of dark matter particles at M x ≈ 10 −8.6 Gev. When mimicking the wCDM model, we find that the effective equation of state of IDM is consistent with the concordance ΛCDM model and appears to be most consistent with the effective phantom model with a constant EoS for which w < −1.

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“…In Ref. [37] the power of OHD in the context of ΛCDM model has been assessed. With the increase of high quantity OHD, the power of OHD constraining void model should also be greatly improved for constraining the void models [10].…”

Section: Discussionmentioning

confidence: 99%

Testing the Copernican principle with the Hubble parameter

Zhang¹,

Zhang²,

Wang³

et al. 2015

Phys. Rev. D

Self Cite

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Using the longitudinal expression of Hubble expansion rate for the general Lemaître-Tolman-Bondi (LTB) metric as a function of cosmic time, we examine the scale on which the Copernican Principle holds in the context of a void model. By way of performing parameter estimation on the CGBH void model, we show that the Hubble parameter data favors a void with characteristic radius of 2 ∼ 3 Gpc. This brings the void model closer, but not yet enough, to harmony with observational indications given by the background kinetic Sunyaev-Zel'dovich effect and the normalization of near-infrared galaxy luminosity function. However, the test of such void models may ultimately lie in the future detection of the discrepancy between longitudinal and transverse expansion rates, a touchstone of inhomogeneous models. With the proliferation of observational Hubble parameter data and future large-scale structure observation, a definitive test could be performed on the question of cosmic homogeneity. Particularly, the spherical LTB void models have been ruled out, but more general non-spherical inhomogeneities still need to be tested by observation. In this paper, we utilise a spherical void model to provide guidelines into how observational tests may be done with more general models in the future.

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Power of Observational Hubble Parameter Data: A Figure of Merit Exploration

Cited by 124 publications

References 72 publications

Null test of the cosmic curvature usingH(z)and supernovae data

Null test of the cosmic curvature usingH(z)and supernovae data

Observational constraints on interacting dark matter model without dark energy

Testing the Copernican principle with the Hubble parameter

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