Fast approximate methods for modified gravity cosmological simulations

Vraštil, Michal; Habib, Salman

doi:10.1093/mnras/staa333

Title: 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]; Habib, Salman ^[2]

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:: 2020-02-11

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.  https://doi.org/10.1093/mnras/staa333.

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                    Vraštil, Michal, & Habib, Salman. Fast approximate methods for modified gravity cosmological simulations.  United Kingdom.  https://doi.org/10.1093/mnras/staa333

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                    Vraštil, Michal, and Habib, Salman. Tue .  
"Fast approximate methods for modified gravity cosmological simulations".  United Kingdom.  https://doi.org/10.1093/mnras/staa333.

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@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}

}

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Title: Fast approximate methods for modified gravity cosmological simulations

Abstract

Citation Formats

Models of f ( R ) cosmic acceleration that evade solar system tests journal, September 2007

How does non-linear dynamics affect the baryon acoustic oscillation? journal, February 2014

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Optimizing the Zel'dovich approximation journal, August 1994

Everything you always wanted to know about the cosmological constant problem (but were afraid to ask) journal, July 2012

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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

Lagrangian theory of gravitational instability of Friedman–Lemaître cosmologies – second-order approach: an improved model for non-linear clustering journal, September 1993

Truthing the stretch: non-perturbative cosmological realizations with multiscale spherical collapse journal, October 2015

Introduction to Modified Gravity and Gravitational Alternative for dark Energy journal, February 2007

FastPM: a new scheme for fast simulations of dark matter and haloes journal, August 2016

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

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The Evolution of Correlation Functions in the Zeldovich Approximation and Its Implications for the Validity of Perturbation Theory journal, November 1996

A frozen-flow approximation to the evolution of large-scale structures in the Universe journal, December 1992

The Cosmic Linear Anisotropy Solving System (CLASS). Part II: Approximation schemes journal, July 2011

The Mira–Titan Universe: Precision Predictions for dark Energy Surveys journal, March 2016

Observational probes of cosmic acceleration journal, September 2013

Planck 2015 results : XIII. Cosmological parameters journal, September 2016

On the integration of the BBGKY equations for the development of strongly nonlinear clustering in an expanding universe journal, May 1977

Testing approximate predictions of displacements of cosmological dark matter halos journal, July 2017

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1/R gravity and scalar-tensor gravity journal, November 2003

Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant journal, September 1998

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Modified gravity and cosmology journal, March 2012

The large-scale structure of the Universe in the frame of the model equation of non-linear diffusion journal, January 1989

Core Cosmology Library: Precision Cosmological Predictions for LSST journal, May 2019

Measurements of Ω and Λ from 42 High‐Redshift Supernovae journal, June 1999

Simulation Techniques for Cosmological Simulations journal, February 2008

Non-linear evolution of density perturbations using the approximate constancy of the gravitational potential journal, January 1994

Testing approximations for non-linear gravitational clustering journal, February 1993

Models of $f (R)$ cosmic acceleration that evade solar system tests
journal, September 2007

How does non-linear dynamics affect the baryon acoustic oscillation?
journal, February 2014

Inverted initial conditions: Exploring the growth of cosmic structure and voids
journal, May 2016

Optimizing the Zel'dovich approximation
journal, August 1994

Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)
journal, July 2012

Cosmological structure formation with augmented Lagrangian perturbation theory
journal, August 2013

Dark Energy Versus Modified Gravity
journal, October 2016

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
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Lagrangian theory of gravitational instability of Friedman–Lemaître cosmologies – second-order approach: an improved model for non-linear clustering
journal, September 1993

Truthing the stretch: non-perturbative cosmological realizations with multiscale spherical collapse
journal, October 2015

Introduction to Modified Gravity and Gravitational Alternative for dark Energy
journal, February 2007

FastPM: a new scheme for fast simulations of dark matter and haloes
journal, August 2016

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

Critical look at cosmological perturbation theory techniques
journal, August 2009

Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
journal, August 2007

On the Robustness of the Acoustic Scale in the Low‐Redshift Clustering of Matter
journal, August 2007

The Evolution of Correlation Functions in the Zeldovich Approximation and Its Implications for the Validity of Perturbation Theory
journal, November 1996

A frozen-flow approximation to the evolution of large-scale structures in the Universe
journal, December 1992

The Cosmic Linear Anisotropy Solving System (CLASS). Part II: Approximation schemes
journal, July 2011

The Mira–Titan Universe: Precision Predictions for dark Energy Surveys
journal, March 2016

Observational probes of cosmic acceleration
journal, September 2013

Planck 2015 results : XIII. Cosmological parameters
journal, September 2016

On the integration of the BBGKY equations for the development of strongly nonlinear clustering in an expanding universe
journal, May 1977

Testing approximate predictions of displacements of cosmological dark matter halos
journal, July 2017

Lagrangian perturbation theory at one loop order: Successes, failures, and improvements
journal, January 2015

1/R gravity and scalar-tensor gravity
journal, November 2003

Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
journal, September 1998

Nonlinear power spectrum from resummed perturbation theory: a leap beyond the BAO scale
journal, December 2012

Modified gravity and cosmology
journal, March 2012

The large-scale structure of the Universe in the frame of the model equation of non-linear diffusion
journal, January 1989

Core Cosmology Library: Precision Cosmological Predictions for LSST
journal, May 2019

Measurements of Ω and Λ from 42 High‐Redshift Supernovae
journal, June 1999

Simulation Techniques for Cosmological Simulations
journal, February 2008

Non-linear evolution of density perturbations using the approximate constancy of the gravitational potential
journal, January 1994

Testing approximations for non-linear gravitational clustering
journal, February 1993