Cosmological tests of general relativity: A principal component analysis
The next generation of weak lensing surveys will trace the evolution of matter perturbations and gravitational potentials from the matter dominated epoch until today. Along with constraining the dynamics of dark energy, they will probe the relations between matter overdensities, local curvature, and...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/71902 |
| _version_ | 1826193621439741952 |
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| author | Hojjati, Alireza Zhao, Gong-Bo Pogosian, Levon Silvestri, Alessandra Crittenden, Robert Koyama, Kazuya |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Hojjati, Alireza Zhao, Gong-Bo Pogosian, Levon Silvestri, Alessandra Crittenden, Robert Koyama, Kazuya |
| author_sort | Hojjati, Alireza |
| collection | MIT |
| description | The next generation of weak lensing surveys will trace the evolution of matter perturbations and gravitational potentials from the matter dominated epoch until today. Along with constraining the dynamics of dark energy, they will probe the relations between matter overdensities, local curvature, and the Newtonian potential. We work with two functions of time and scale to account for any modifications of these relations in the linear regime from those in the ΛCDM model. We perform a principal component analysis (PCA) to find the eigenmodes and eigenvalues of these functions for surveys like the Dark Energy Survey and Large Synoptic Survey Telescope. This paper builds on and significantly extends the PCA analysis of Zhao et al. [ Phys. Rev. Lett. 103 241301 (2009)] in several ways. In particular, we consider the impact of some of the systematic effects expected in weak lensing surveys. We also present the PCA in terms of other choices of the two functions needed to parametrize modified growth on linear scales, and discuss their merits. We analyze the degeneracy between the modified growth functions and other cosmological parameters, paying special attention to the effective equation of state w(z). Finally, we demonstrate the utility of the PCA as an efficient data compression stage which enables one to easily derive constraints on parameters of specific models without recalculating Fisher matrices from scratch. |
| first_indexed | 2024-09-23T09:42:20Z |
| format | Article |
| id | mit-1721.1/71902 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:42:20Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/719022022-09-26T13:13:53Z Cosmological tests of general relativity: A principal component analysis Hojjati, Alireza Zhao, Gong-Bo Pogosian, Levon Silvestri, Alessandra Crittenden, Robert Koyama, Kazuya Massachusetts Institute of Technology. Department of Physics Silvestri, Alessandra Silvestri, Alessandra The next generation of weak lensing surveys will trace the evolution of matter perturbations and gravitational potentials from the matter dominated epoch until today. Along with constraining the dynamics of dark energy, they will probe the relations between matter overdensities, local curvature, and the Newtonian potential. We work with two functions of time and scale to account for any modifications of these relations in the linear regime from those in the ΛCDM model. We perform a principal component analysis (PCA) to find the eigenmodes and eigenvalues of these functions for surveys like the Dark Energy Survey and Large Synoptic Survey Telescope. This paper builds on and significantly extends the PCA analysis of Zhao et al. [ Phys. Rev. Lett. 103 241301 (2009)] in several ways. In particular, we consider the impact of some of the systematic effects expected in weak lensing surveys. We also present the PCA in terms of other choices of the two functions needed to parametrize modified growth on linear scales, and discuss their merits. We analyze the degeneracy between the modified growth functions and other cosmological parameters, paying special attention to the effective equation of state w(z). Finally, we demonstrate the utility of the PCA as an efficient data compression stage which enables one to easily derive constraints on parameters of specific models without recalculating Fisher matrices from scratch. National Science Foundation (U.S.) (grant no. AST-0708501) 2012-07-31T12:13:35Z 2012-07-31T12:13:35Z 2012-02 2011-11 Article http://purl.org/eprint/type/JournalArticle 0556-2821 http://hdl.handle.net/1721.1/71902 Silvestri, Alessandra et al. "Cosmological tests of general relativity: A principal component analysis." Physical Review D 85 (2012): 043508-1-043508-18. http://link.aps.org/doi/10.1103/PhysRevD.85.043508 Copyright 2012 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevD.85.043508 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Hojjati, Alireza Zhao, Gong-Bo Pogosian, Levon Silvestri, Alessandra Crittenden, Robert Koyama, Kazuya Cosmological tests of general relativity: A principal component analysis |
| title | Cosmological tests of general relativity: A principal component analysis |
| title_full | Cosmological tests of general relativity: A principal component analysis |
| title_fullStr | Cosmological tests of general relativity: A principal component analysis |
| title_full_unstemmed | Cosmological tests of general relativity: A principal component analysis |
| title_short | Cosmological tests of general relativity: A principal component analysis |
| title_sort | cosmological tests of general relativity a principal component analysis |
| url | http://hdl.handle.net/1721.1/71902 |
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