Abstract
We perform three-dimensional numerical relativity simulations of homogeneous and inhomogeneous expanding spacetimes, with a view towards quantifying non-linear effects from cosmological inhomogeneities. We demonstrate fourth-order convergence with errors less than one part in 106 in evolving a flat, dust Friedmann-Lemaître-Roberston-Walker (FLRW) spacetime using the Einstein Toolkit within the Cactus framework. We also demonstrate agreement to within one part in 103 between the numerical relativity solution and the linear solution for density, velocity and metric perturbations in the Hubble flow over a factor of ∼ 350 change in scale factor (redshift). We simulate the growth of linear perturbations into the non-linear regime, where effects such as gravitational slip and tensor perturbations appear. We therefore show that numerical relativity is a viable tool for investigating nonlinear effects in cosmology.
| Original language | English |
|---|---|
| Article number | 064028 |
| Number of pages | 13 |
| Journal | Physical Review D |
| Volume | 95 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2017 |
Cite this
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Inhomogeneous cosmology with numerical relativity. / Macpherson, Hayley J.; Lasky, Paul D.; Price, Daniel J.
In: Physical Review D, Vol. 95, No. 6, 064028, 2017.Research output: Contribution to journal › Article › Research › peer-review
TY - JOUR
T1 - Inhomogeneous cosmology with numerical relativity
AU - Macpherson, Hayley J.
AU - Lasky, Paul D.
AU - Price, Daniel J.
PY - 2017
Y1 - 2017
N2 - We perform three-dimensional numerical relativity simulations of homogeneous and inhomogeneous expanding spacetimes, with a view towards quantifying non-linear effects from cosmological inhomogeneities. We demonstrate fourth-order convergence with errors less than one part in 106 in evolving a flat, dust Friedmann-Lemaître-Roberston-Walker (FLRW) spacetime using the Einstein Toolkit within the Cactus framework. We also demonstrate agreement to within one part in 103 between the numerical relativity solution and the linear solution for density, velocity and metric perturbations in the Hubble flow over a factor of ∼ 350 change in scale factor (redshift). We simulate the growth of linear perturbations into the non-linear regime, where effects such as gravitational slip and tensor perturbations appear. We therefore show that numerical relativity is a viable tool for investigating nonlinear effects in cosmology.
AB - We perform three-dimensional numerical relativity simulations of homogeneous and inhomogeneous expanding spacetimes, with a view towards quantifying non-linear effects from cosmological inhomogeneities. We demonstrate fourth-order convergence with errors less than one part in 106 in evolving a flat, dust Friedmann-Lemaître-Roberston-Walker (FLRW) spacetime using the Einstein Toolkit within the Cactus framework. We also demonstrate agreement to within one part in 103 between the numerical relativity solution and the linear solution for density, velocity and metric perturbations in the Hubble flow over a factor of ∼ 350 change in scale factor (redshift). We simulate the growth of linear perturbations into the non-linear regime, where effects such as gravitational slip and tensor perturbations appear. We therefore show that numerical relativity is a viable tool for investigating nonlinear effects in cosmology.
UR - http://www.scopus.com/inward/record.url?scp=85018609929&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.95.064028
DO - 10.1103/PhysRevD.95.064028
M3 - Article
VL - 95
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 6
M1 - 064028
ER -