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2019

Einstein-Vlasov Calculations of Structure Formation

East, William E., Wojtak, Radosław, Pretorius, Frans

Understand

We study the dynamics of small inhomogeneities in an expanding universe collapsing to form bound structures using full solutions of the Einstein-Vlasov (N-body) equations.

We compare these to standard Newtonian N-body solutions using quantities defined with respect to fiducial observers in order to bound relativistic effects.
We focus on simplified initial conditions containing a limited range of length scales, but vary the inhomogeneities from small magnitude, where the Newtonian and general-relativistic calculations agree quite well, to large magnitude, where the background metric receives an order one correction.
For large inhomogeneities, we find that the collapse of overdensities tends to happen faster in Newtonian calculations relative to fully general-relativistic ones.

Built on

W. E. East, Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
A. G. Riess, S. Casertano, W. Yuan, L. M. Macri, and D. Scolnic, Astrophys. J. 876
Original
1903
Earlier work this paper cites.
D. Daverio, Y. Dirian, and E. Mitsou, (2019), arXiv:1904.07841 [astro-ph.CO]
Original
1904
Earlier work this paper cites.
C. Barrera-Hinojosa and B. Li, (2019), arXiv:1905.08890 [astro-ph.CO]
Original
1905
Earlier work this paper cites.
Y. B. Zel’dovich, Astron. Astrophys. 5
1970
Earlier work this paper cites.
G. Xu, Astrophys. J. Supp. Ser. 98
1995
Earlier work this paper cites.
T. Buchert, Gen. Rel. Grav. 32
2000
Earlier work this paper cites.
E. W. Kolb, S. Matarrese, A. Notari, and A. Riotto, Phys. Rev. D71
2005
Earlier work this paper cites.
V. Springel, Mon. Not. R. Astron. Soc. 364
2005
Earlier work this paper cites.
K. Heitmann, P. M. Ricker, M. S. Warren, and S. Habib, Astrophys. J. Supp. Ser. 160
2005
Earlier work this paper cites.
A. Ishibashi and R. M. Wald, Class. Quant. Grav. 23
2006
Earlier work this paper cites.
I. M. H. Etherington, General Relativity and Gravitation 39
2007
Earlier work this paper cites.
K. Heitmann et al. , Comput. Sci. Dis. 1
Original
2008
Earlier work this paper cites.
K. Heitmann, Z. Lukić, P. Fasel, S. Habib, M. S. Warren, M. White, J. Ahrens, L. Ankeny, R. Armstrong, and B. O’Shea, Computational Science and Discovery 1
Original
2008
Earlier work this paper cites.
LSST Science Collaboration et al. , arXiv e-prints (2009), arXiv:0912.0201 [astro-ph.IM]
Original
2009
Earlier work this paper cites.