An Improved Method to Measure the Cosmic Curvature
In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H(z) and supernovae Ia (SNe Ia) data. Based on the H(z) data, we first use the model-independent smoothing technique, Gaussian processes, to construct a dist...
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| Published in | The Astrophysical journal Vol. 838; no. 2; pp. 160 - 168 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
The American Astronomical Society
01.04.2017
IOP Publishing |
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| Abstract | In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H(z) and supernovae Ia (SNe Ia) data. Based on the H(z) data, we first use the model-independent smoothing technique, Gaussian processes, to construct a distance modulus H(z), which is susceptible to the cosmic curvature parameter k. In contrary to previous studies, the light-curve-fitting parameters, which account for the distance estimation of SN ( SN(z)), are set free to investigate whether k has a dependence on them. By comparing H(z) to SN(z), we put limits on k. Our results confirm that k is independent of the SN light-curve parameters. Moreover, we show that the measured k is in good agreement with zero cosmic curvature, implying that there is no significant deviation from a flat universe at the current observational data level. We also test the influence of different H(z) samples and different Hubble constant H0 values, finding that different H(z) samples do not have a significant impact on the constraints. However, different H0 priors can affect the constraints of k to some degree. The prior of H0 = 73.24 1.74 km s−1 Mpc−1 gives a value of k, a little bit above the 1 confidence level away from 0, but H0 = 69.6 0.7 km s−1 Mpc−1 gives it below 1 . |
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| AbstractList | In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H(z) and supernovae Ia (SNe Ia) data. Based on the H(z) data, we first use the model-independent smoothing technique, Gaussian processes, to construct a distance modulus H(z), which is susceptible to the cosmic curvature parameter k. In contrary to previous studies, the light-curve-fitting parameters, which account for the distance estimation of SN ( SN(z)), are set free to investigate whether k has a dependence on them. By comparing H(z) to SN(z), we put limits on k. Our results confirm that k is independent of the SN light-curve parameters. Moreover, we show that the measured k is in good agreement with zero cosmic curvature, implying that there is no significant deviation from a flat universe at the current observational data level. We also test the influence of different H(z) samples and different Hubble constant H0 values, finding that different H(z) samples do not have a significant impact on the constraints. However, different H0 priors can affect the constraints of k to some degree. The prior of H0 = 73.24 1.74 km s−1 Mpc−1 gives a value of k, a little bit above the 1 confidence level away from 0, but H0 = 69.6 0.7 km s−1 Mpc−1 gives it below 1 . In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H ( z ) and supernovae Ia (SNe Ia) data. Based on the H ( z ) data, we first use the model-independent smoothing technique, Gaussian processes, to construct a distance modulus μ {sub H} ( z ), which is susceptible to the cosmic curvature parameter Ω{sub k}. In contrary to previous studies, the light-curve-fitting parameters, which account for the distance estimation of SN (μ {sub SN}( z )), are set free to investigate whether Ω {sub k} has a dependence on them. By comparing μ {sub H} ( z ) to μ {sub SN}(z), we put limits on Ω {sub k}. Our results confirm that Ω {sub k} is independent of the SN light-curve parameters. Moreover, we show that the measured Ω {sub k} is in good agreement with zero cosmic curvature, implying that there is no significant deviation from a flat universe at the current observational data level. We also test the influence of different H(z) samples and different Hubble constant H {sub 0} values, finding that different H(z) samples do not have a significant impact on the constraints. However, different H {sub 0} priors can affect the constraints of Ω {sub k} to some degree. The prior of H {sub 0} = 73.24 ± 1.74 km s{sup −1} Mpc{sup −1} gives a value of Ω {sub k}, a little bit above the 1 σ confidence level away from 0, but H{sub 0} = 69.6 ± 0.7 km s{sup −1} Mpc{sup −1} gives it below 1 σ . In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H ( z ) and supernovae Ia (SNe Ia) data. Based on the H ( z ) data, we first use the model-independent smoothing technique, Gaussian processes, to construct a distance modulus μ H ( z ), which is susceptible to the cosmic curvature parameter Ω k . In contrary to previous studies, the light-curve-fitting parameters, which account for the distance estimation of SN ( μ SN ( z )), are set free to investigate whether Ω k has a dependence on them. By comparing μ H ( z ) to μ SN ( z ), we put limits on Ω k . Our results confirm that Ω k is independent of the SN light-curve parameters. Moreover, we show that the measured Ω k is in good agreement with zero cosmic curvature, implying that there is no significant deviation from a flat universe at the current observational data level. We also test the influence of different H ( z ) samples and different Hubble constant H 0 values, finding that different H ( z ) samples do not have a significant impact on the constraints. However, different H 0 priors can affect the constraints of Ω k to some degree. The prior of H 0 = 73.24 ± 1.74 km s −1 Mpc −1 gives a value of Ω k , a little bit above the 1 σ confidence level away from 0, but H 0 = 69.6 ± 0.7 km s −1 Mpc −1 gives it below 1 σ . In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H(z) and supernovae Ia (SNe Ia) data. Based on the H(z) data, we first use the model-independent smoothing technique, Gaussian processes, to construct a distance modulus μ H (z), which is susceptible to the cosmic curvature parameter Ω k . In contrary to previous studies, the light-curve-fitting parameters, which account for the distance estimation of SN (μ SN(z)), are set free to investigate whether Ω k has a dependence on them. By comparing μ H (z) to μ SN(z), we put limits on Ω k . Our results confirm that Ω k is independent of the SN light-curve parameters. Moreover, we show that the measured Ω k is in good agreement with zero cosmic curvature, implying that there is no significant deviation from a flat universe at the current observational data level. We also test the influence of different H(z) samples and different Hubble constant H 0 values, finding that different H(z) samples do not have a significant impact on the constraints. However, different H 0 priors can affect the constraints of Ω k to some degree. The prior of H 0 = 73.24 ± 1.74 km s−1 Mpc−1 gives a value of Ω k , a little bit above the 1σ confidence level away from 0, but H 0 = 69.6 ± 0.7 km s−1 Mpc−1 gives it below 1σ. |
| Author | Wei, Jun-Jie Wu, Xue-Feng |
| Author_xml | – sequence: 1 givenname: Jun-Jie orcidid: 0000-0003-0162-2488 surname: Wei fullname: Wei, Jun-Jie email: jjwei@pmo.ac.cn organization: Guangxi Key Laboratory for Relativistic Astrophysics, Nanning 530004, China – sequence: 2 givenname: Xue-Feng surname: Wu fullname: Wu, Xue-Feng organization: Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing University-Purple Mountain Observatory , Nanjing 210008, China |
| BackLink | https://www.osti.gov/biblio/22661177$$D View this record in Osti.gov |
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| Snippet | In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H(z) and... In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H ( z ) and... In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter H ( z ) and... |
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| SubjectTerms | Astrophysics ASTROPHYSICS, COSMOLOGY AND ASTRONOMY COMPARATIVE EVALUATIONS Confidence intervals cosmological parameters COSMOLOGY cosmology: observations Curvature Curve fitting DATA GALAXIES galaxies: general Gaussian process GAUSSIAN PROCESSES Hubble constant LIMITING VALUES Mathematical models Parameter estimation SUPERNOVAE supernovae: general UNIVERSE VISIBLE RADIATION |
| Title | An Improved Method to Measure the Cosmic Curvature |
| URI | https://iopscience.iop.org/article/10.3847/1538-4357/aa674b https://www.proquest.com/docview/2365780388 https://www.osti.gov/biblio/22661177 |
| Volume | 838 |
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