Fast approximate methods for modified gravity cosmological simulations
Abstract
ABSTRACT The accelerated expansion of the Universe poses a major theoretical puzzle. Although the assumption of a non-zero cosmological constant provides a minimal extension of general relativity that is consistent with observational data, many theories of modified gravity have been suggested as possible alternatives. Predictions of structure formation for these models in the fully non-linear regime are very expensive and it is difficult, if not impossible, to explore such a huge space of models and parameters using high-resolution N-body simulations. Even in the mildly non-linear regime, perturbative methods can become extremely complex. We explore whether simplified dynamical approximations, applicable for a certain set of cosmological probes, can be used to investigate models of modified gravity with acceptable accuracy in the latter instance. For the case of chameleon gravity, we find that these methods can indeed be used to explore the region around the baryon acoustic oscillation scale, $$k\sim 0.1~h\, \text{Mpc}^{-1}$$ but not much further.
- Authors:
-
[1];
- Department of Astroparticle Physics, Institute of Physics of the Czech Academy of Sciences, Na Slovance 1999/2, CZ-182 21 Prague, Czech Republic
- CPS and HEP Divisions, Argonne National Laboratory, 9700 S. Cass Avenue, Lemont, IL 60439, USA
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1602297
- Grant/Contract Number:
- AC02-06CH11357; W-7405-ENG-36
- Resource Type:
- Published Article
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Name: Monthly Notices of the Royal Astronomical Society Journal Volume: 493 Journal Issue: 2; Journal ID: ISSN 0035-8711
- Publisher:
- Oxford University Press
- Country of Publication:
- United Kingdom
- Language:
- English
Citation Formats
Vraštil, Michal, and Habib, Salman. Fast approximate methods for modified gravity cosmological simulations. United Kingdom: N. p., 2020.
Web. doi:10.1093/mnras/staa333.
Vraštil, Michal, & Habib, Salman. Fast approximate methods for modified gravity cosmological simulations. United Kingdom. https://doi.org/10.1093/mnras/staa333
Vraštil, Michal, and Habib, Salman. Tue .
"Fast approximate methods for modified gravity cosmological simulations". United Kingdom. https://doi.org/10.1093/mnras/staa333.
@article{osti_1602297,
title = {Fast approximate methods for modified gravity cosmological simulations},
author = {Vraštil, Michal and Habib, Salman},
abstractNote = {ABSTRACT The accelerated expansion of the Universe poses a major theoretical puzzle. Although the assumption of a non-zero cosmological constant provides a minimal extension of general relativity that is consistent with observational data, many theories of modified gravity have been suggested as possible alternatives. Predictions of structure formation for these models in the fully non-linear regime are very expensive and it is difficult, if not impossible, to explore such a huge space of models and parameters using high-resolution N-body simulations. Even in the mildly non-linear regime, perturbative methods can become extremely complex. We explore whether simplified dynamical approximations, applicable for a certain set of cosmological probes, can be used to investigate models of modified gravity with acceptable accuracy in the latter instance. For the case of chameleon gravity, we find that these methods can indeed be used to explore the region around the baryon acoustic oscillation scale, $k\sim 0.1~h\, \text{Mpc}^{-1}$ but not much further.},
doi = {10.1093/mnras/staa333},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 2,
volume = 493,
place = {United Kingdom},
year = {2020},
month = {2}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1093/mnras/staa333
https://doi.org/10.1093/mnras/staa333
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Models of cosmic acceleration that evade solar system tests
journal, September 2007
- Hu, Wayne; Sawicki, Ignacy
- Physical Review D, Vol. 76, Issue 6
How does non-linear dynamics affect the baryon acoustic oscillation?
journal, February 2014
- Sugiyama, Naonori S.; Spergel, David N.
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 02
Inverted initial conditions: Exploring the growth of cosmic structure and voids
journal, May 2016
- Pontzen, Andrew; Slosar, Anže; Roth, Nina
- Physical Review D, Vol. 93, Issue 10
Optimizing the Zel'dovich approximation
journal, August 1994
- Melott, Adrian L.; Pellman, Todd F.; Shandarin, Sergei F.
- Monthly Notices of the Royal Astronomical Society, Vol. 269, Issue 3
Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)
journal, July 2012
- Martin, Jérôme
- Comptes Rendus Physique, Vol. 13, Issue 6-7
Cosmological structure formation with augmented Lagrangian perturbation theory
journal, August 2013
- Kitaura, Francisco-Shu; Heß, Steffen
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 435, Issue 1
Dark Energy Versus Modified Gravity
journal, October 2016
- Joyce, Austin; Lombriser, Lucas; Schmidt, Fabian
- Annual Review of Nuclear and Particle Science, Vol. 66, Issue 1
J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables. (Computer Science and Applied Mathematics). XX + 572 S. m. Fig. New York/London 1970. Academic Press. Preis geb. $ 24.00
journal, January 1972
- Schmidt, J. W.
- ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 52, Issue 8
Lagrangian theory of gravitational instability of Friedman–Lemaître cosmologies – second-order approach: an improved model for non-linear clustering
journal, September 1993
- Buchert, Thomas; Ehlers, Jürgen
- Monthly Notices of the Royal Astronomical Society, Vol. 264, Issue 2
Truthing the stretch: non-perturbative cosmological realizations with multiscale spherical collapse
journal, October 2015
- Neyrinck, Mark C.
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 455, Issue 1
Introduction to Modified Gravity and Gravitational Alternative for dark Energy
journal, February 2007
- Nojiri, Shin'Ichi; Odintsov, Sergei D.
- International Journal of Geometric Methods in Modern Physics, Vol. 04, Issue 01
FastPM: a new scheme for fast simulations of dark matter and haloes
journal, August 2016
- Feng, Yu; Chu, Man-Yat; Seljak, Uroš
- Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 3
A 2 per cent distance to z = 0.35 by reconstructing baryon acoustic oscillations – I. Methods and application to the Sloan Digital Sky Survey : A 2 per cent distance to z = 0.35
journal, November 2012
- Padmanabhan, Nikhil; Xu, Xiaoying; Eisenstein, Daniel J.
- Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 3
Critical look at cosmological perturbation theory techniques
journal, August 2009
- Carlson, Jordan; White, Martin; Padmanabhan, Nikhil
- Physical Review D, Vol. 80, Issue 4
Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
journal, August 2007
- Eisenstein, Daniel J.; Seo, Hee‐Jong; Sirko, Edwin
- The Astrophysical Journal, Vol. 664, Issue 2
On the Robustness of the Acoustic Scale in the Low‐Redshift Clustering of Matter
journal, August 2007
- Eisenstein, Daniel J.; Seo, Hee‐Jong; White, Martin
- The Astrophysical Journal, Vol. 664, Issue 2
The Evolution of Correlation Functions in the Zeldovich Approximation and Its Implications for the Validity of Perturbation Theory
journal, November 1996
- Bharadwaj, Somnath
- The Astrophysical Journal, Vol. 472, Issue 1
A frozen-flow approximation to the evolution of large-scale structures in the Universe
journal, December 1992
- Matarrese, S.; Lucchin, F.; Moscardini, L.
- Monthly Notices of the Royal Astronomical Society, Vol. 259, Issue 3
The Cosmic Linear Anisotropy Solving System (CLASS). Part II: Approximation schemes
journal, July 2011
- Blas, Diego; Lesgourgues, Julien; Tram, Thomas
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07
The Mira–Titan Universe: Precision Predictions for dark Energy Surveys
journal, March 2016
- Heitmann, Katrin; Bingham, Derek; Lawrence, Earl
- The Astrophysical Journal, Vol. 820, Issue 2
Observational probes of cosmic acceleration
journal, September 2013
- Weinberg, David H.; Mortonson, Michael J.; Eisenstein, Daniel J.
- Physics Reports, Vol. 530, Issue 2
Planck 2015 results : XIII. Cosmological parameters
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
On the integration of the BBGKY equations for the development of strongly nonlinear clustering in an expanding universe
journal, May 1977
- Davis, M.; Peebles, P. J. E.
- The Astrophysical Journal Supplement Series, Vol. 34
Testing approximate predictions of displacements of cosmological dark matter halos
journal, July 2017
- Munari, Emiliano; Monaco, Pierluigi; Koda, Jun
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 07
Lagrangian perturbation theory at one loop order: Successes, failures, and improvements
journal, January 2015
- Vlah, Zvonimir; Seljak, Uroš; Baldauf, Tobias
- Physical Review D, Vol. 91, Issue 2
1/R gravity and scalar-tensor gravity
journal, November 2003
- Chiba, Takeshi
- Physics Letters B, Vol. 575, Issue 1-2
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
journal, September 1998
- Riess, Adam G.; Filippenko, Alexei V.; Challis, Peter
- The Astronomical Journal, Vol. 116, Issue 3
Nonlinear power spectrum from resummed perturbation theory: a leap beyond the BAO scale
journal, December 2012
- Anselmi, Stefano; Pietroni, Massimo
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 12
Modified gravity and cosmology
journal, March 2012
- Clifton, Timothy; Ferreira, Pedro G.; Padilla, Antonio
- Physics Reports, Vol. 513, Issue 1-3
The large-scale structure of the Universe in the frame of the model equation of non-linear diffusion
journal, January 1989
- Gurbatov, S. N.; Saichev, A. I.; Shandarin, S. F.
- Monthly Notices of the Royal Astronomical Society, Vol. 236, Issue 2
Core Cosmology Library: Precision Cosmological Predictions for LSST
journal, May 2019
- Chisari, Nora Elisa; Alonso, David; Krause, Elisabeth
- The Astrophysical Journal Supplement Series, Vol. 242, Issue 1
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
journal, June 1999
- Perlmutter, S.; Aldering, G.; Goldhaber, G.
- The Astrophysical Journal, Vol. 517, Issue 2
Simulation Techniques for Cosmological Simulations
journal, February 2008
- Dolag, K.; Borgani, S.; Schindler, S.
- Space Science Reviews, Vol. 134, Issue 1-4
Non-linear evolution of density perturbations using the approximate constancy of the gravitational potential
journal, January 1994
- Bagla, J. S.; Padmanabhan, T.
- Monthly Notices of the Royal Astronomical Society, Vol. 266, Issue 1
Testing approximations for non-linear gravitational clustering
journal, February 1993
- Coles, P.; Melott, A. L.; Shandarin, S. F.
- Monthly Notices of the Royal Astronomical Society, Vol. 260, Issue 4