General relativistic corrections to $N$-body simulations and the Zel'dovich approximation - INSPIRE

DataBETA

General relativistic corrections to $N$ -body simulations and the Zel'dovich approximation

May 18, 2015

5 pages

Published in:

Phys.Rev.D 92 (2015) 12, 123517

Published: Dec 15, 2015

e-Print:

1505.04756 [astro-ph.CO]

DOI:

10.1103/PhysRevD.92.123517

View in:

reference search74 citations

Citations per year

Abstract: (APS)

The initial conditions for Newtonian N-body simulations are usually generated by applying the Zel’dovich approximation to the initial displacements of the particles using an initial power spectrum of density fluctuations generated by an Einstein-Boltzmann solver. We show that in most gauges the initial displacements generated in this way receive a first-order relativistic correction. We define a new gauge, the N-body gauge, in which this relativistic correction vanishes and show that a conventional Newtonian N-body simulation includes all first-order relativistic contributions (in the absence of radiation) if we identify the coordinates in Newtonian simulations with those in the relativistic N-body gauge.

Note:

5 pages, 3 figures, revised text and figures, matches published version in PRD

98.80.-k
98.62.Py
98.65.-r
98.80.Jk

References(25)

Figures(3)

[1]

Planck 2015 results. I. Overview of products and scientific results

Planck

Collaboration

•

R. Adam
(
- LPSC, Grenoble
)

et al.

- Astron.Astrophys. 594 (2016) A1
•
e-Print:
- 1502.01582
•
DOI:
- 10.1051/0004-6361/201527101

[2]

BICEP2 / Keck Array V: Measurements of B-mode Polarization at Degree Angular Scales and 150 GHz by the Keck Array

BICEP2 and
Keck Array

Collaborations

•

P.A.R. Ade
(
- Cardiff U.
)

et al.

- Astrophys.J. 811 (2015) 126
•
e-Print:
- 1502.00643
•
DOI:
- 10.1088/0004-637X/811/2/126

[3]

Efficient computation of CMB anisotropies in closed FRW models

- Astrophys.J. 538 (2000) 473-476
•
e-Print:
- astro-ph/9911177
•
DOI:
- 10.1086/309179

[4]

The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes

- JCAP 07 (2011) 034
•
e-Print:
- 1104.2933
•
DOI:
- 10.1088/1475-7516/2011/07/034

[5]

The intrinsic bispectrum of the Cosmic Microwave Background

Guido W. Pettinari
(
- Portsmouth U., ICG
)
,
Christian Fidler
(
- Portsmouth U., ICG
)
,
Robert Crittenden
(
- Portsmouth U., ICG
)
,
Kazuya Koyama
(
- Portsmouth U., ICG
)
,
David Wands
(
- Portsmouth U., ICG
)

- JCAP 04 (2013) 003
•
e-Print:
- 1302.0832
•
DOI:
- 10.1088/1475-7516/2013/04/003

[6]

The full CMB temperature bispectrum from single-field inflation

Zhiqi Huang
(
- Toronto U.
)
,
Filippo Vernizzi
(
- IPhT, Saclay
)

- Phys.Rev.D 89 (2014) 2, 021302
•
e-Print:
- 1311.6105
•
DOI:
- 10.1103/PhysRevD.89.021302

[7]

Euclid Definition Study Report

EUCLID

Collaboration

•

R. Laureijs
(
- ESTEC, Noordwijk
)

et al.

e-Print:
- 1110.3193

[8]

Overview of Cosmology with the SKA

SKA Cosmology SWG

Collaboration

•

Roy Maartens

et al.

- PoS AASKA14 (2015) 016
•
e-Print:
- 1501.04076
•
DOI:
- 10.22323/1.215.0016

[9]

LSST: from Science Drivers to Reference Design and Anticipated Data Products

LSST

Collaboration

•

Željko Ivezić
(
- Washington U., Seattle, Astron. Dept.
)

et al.

- Astrophys.J. 873 (2019) 2, 111
•
e-Print:
- 0805.2366
•
DOI:
- 10.3847/1538-4357/ab042c

[10]

Matter power spectrum and the challenge of percent accuracy

et al.

- JCAP 04 (2016) 047
•
e-Print:
- 1503.05920
•
DOI:
- 10.1088/1475-7516/2016/04/047

[11]

Cosmological hydrodynamics with adaptive mesh refinement: a new high resolution code called RAMSES

Romain Teyssier
(
- Saclay
)

- Astron.Astrophys. 385 (2002) 337-364
•
e-Print:
- astro-ph/0111367
•
DOI:
- 10.1051/0004-6361:20011817

[12]

The Cosmological simulation code GADGET-2

Volker Springel
(
- Garching, Max Planck Inst.
)

- Mon.Not.Roy.Astron.Soc. 364 (2005) 1105-1134
•
e-Print:
- astro-ph/0505010
•
DOI:
- 10.1111/j.1365-2966.2005.09655.x

[13]

The Aquarius Project: the subhalos of galactic halos

Volker Springel
(
- Garching, Max Planck Inst.
)
,
Jie Wang
(
- Garching, Max Planck Inst.
)
,
Mark Vogelsberger
(
- Garching, Max Planck Inst.
)
,
Aaron Ludlow
(
- Victoria U.
)
,
Adrian Jenkins
(
- Durham U.
)

et al.

- Mon.Not.Roy.Astron.Soc. 391 (2008) 1685-1711
•
e-Print:
- 0809.0898
•
DOI:
- 10.1111/j.1365-2966.2008.14066.x

[14]

Gravitational instability: An Approximate theory for large density perturbations

Ya.B. Zeldovich
(
- Moscow, IPM
)

- Astron.Astrophys. 5 (1970) 84-89

[15]

Transients from initial conditions: a perturbative analysis

Roman Scoccimarro

- Mon.Not.Roy.Astron.Soc. 299 (1998) 1097
•
e-Print:
- astro-ph/9711187
•
DOI:
- 10.1046/j.1365-8711.1998.01845.x

[16]

Cosmological perturbations

- Phys.Rept. 475 (2009) 1-51
•
e-Print:
- 0809.4944
•
DOI:
- 10.1016/j.physrep.2009.03.001

[17]

Newtonian and Relativistic Cosmologies

Stephen R. Green
(
- Chicago U. and
- Chicago U., EFI
)
,
Robert M. Wald
(
- Chicago U. and
- Chicago U., EFI
)

- Phys.Rev.D 85 (2012) 063512
•
e-Print:
- 1111.2997
•
DOI:
- 10.1103/PhysRevD.85.063512

[18]

Connection between Newtonian simulations and general relativity

- Phys.Rev.D 83 (2011) 123505,
- Phys.Rev.D 84 (2011) 089901 (erratum)
•
e-Print:
- 1101.3555
•
DOI:
- 10.1103/PhysRevD.84.089901

[19]

Zel'dovich Approximation and General Relativity

Cornelius Rampf
(
- RWTH Aachen U.
)
,
Gerasimos Rigopoulos
(
- RWTH Aachen U. and
- Munich, Tech. U.
)

- Mon.Not.Roy.Astron.Soc. 430 (2013) L54-L58
•
e-Print:
- 1210.5446
•
DOI:
- 10.1093/mnrasl/sls049

[20]

Relativistic Lagrangian displacement field and tensor perturbations

- Phys.Rev.D 90 (2014) 123503
•
e-Print:
- 1409.2688
•
DOI:
- 10.1103/PhysRevD.90.123503

[21]

Galaxy bias and gauges at second order in General Relativity

et al.

- Class.Quant.Grav. 32 (2015) 17, 175019
•
e-Print:
- 1501.03163
•
DOI:
- 10.1088/0264-9381/32/17/175019

[22]

General Relativistic Description of the Observed Galaxy Power Spectrum: Do We Understand What We Measure?

Jaiyul Yoo
(
- Harvard-Smithsonian Ctr. Astrophys.
)

- Phys.Rev.D 82 (2010) 083508
•
e-Print:
- 1009.3021
•
DOI:
- 10.1103/PhysRevD.82.083508

[22]

What galaxy surveys really measure

Camille Bonvin
(
- Cambridge U. and
- Cambridge U., DAMTP
)
,
Ruth Durrer
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U. and
- Saclay, SPhT
)

- Phys.Rev.D 84 (2011) 063505
•
e-Print:
- 1105.5280
•
DOI:
- 10.1103/PhysRevD.84.063505

[22]

The linear power spectrum of observed source number counts

Anthony Challinor
(
)
,
Antony Lewis
(
)

- Phys.Rev.D 84 (2011) 043516
•
e-Print:
- 1105.5292
•
DOI:
- 10.1103/PhysRevD.84.043516

[22]

Large-Scale Structure Observables in General Relativity

- Class.Quant.Grav. 32 (2015) 4, 044001
•
e-Print:
- 1407.7979
•
DOI:
- 10.1088/0264-9381/32/4/044001