Nonparametric Reconstruction of the Om Diagnostic to Test ΛCDM
Abstract
:1. Introduction
2. ΛCDM Background
3. The Om Diagnostic Background
4. The Dynamical Om Diagnostic
5. Observations of the Hubble Rate
- (1)
- Cosmic Chronometers (C-C) data. This kind of sample gives a measurement of the expansion rate without relying on the nature of the metric between the chronometer and us. We are going to employ several data sets presented in [28]. A full compilation of the latter, which includes 28 measurements of in the range , are reported in [50]. The normalized parameter can be easily determined by considering the value km s−1 M pc−1 [46].
- (2)
- Data from BAO. Unlike the angular diameter measures given by the transverse BAO scale, the data can be extracted from the measurements of the line-of-sight of this BAO scale. Because the BAO distance scale is embodied in the CMB, its measurements on DE parameters are strongest at low redshift. The samples that we are going to consider consist of three data points from [34] and three more from [35] measured at six redshifts in the range . This data set is shown in Table 2.
6. Nonparametric Reconstructions
6.1. Reconstruction of
6.2. Reconstruction of
6.3. Nonparametric Reconstruction of the Diagnostic
7. Discussion and Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
Appendix A. Reconstruction of D(z)
- If we have a flat universe (), then the equations are
- For the case of a non-flat universe (), we have
- For and ,
- For and ,
- For and ,
- For and ,
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EoS | Om Diagnostic | Model |
---|---|---|
Flat ΛCDM. | ||
Quintessence. | ||
Phantom. |
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Escamilla-Rivera, C.; Fabris, J.C. Nonparametric Reconstruction of the Om Diagnostic to Test ΛCDM. Galaxies 2016, 4, 76. https://doi.org/10.3390/galaxies4040076
Escamilla-Rivera C, Fabris JC. Nonparametric Reconstruction of the Om Diagnostic to Test ΛCDM. Galaxies. 2016; 4(4):76. https://doi.org/10.3390/galaxies4040076
Chicago/Turabian StyleEscamilla-Rivera, Celia, and Júlio C. Fabris. 2016. "Nonparametric Reconstruction of the Om Diagnostic to Test ΛCDM" Galaxies 4, no. 4: 76. https://doi.org/10.3390/galaxies4040076