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Volumn 295, Issue 2, 2010, Pages 431-463

Cosmological post-newtonian expansions to arbitrary order

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EID: 77949653214     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-009-0931-0     Document Type: Article
Times cited : (18)

References (30)
  • 2
    • 34447290241 scopus 로고    scopus 로고
    • Local existence of classical solutions of the system using weighted sobolev spaces of fractional order
    • Brauer U., Karp L.: Local existence of classical solutions of the system using weighted sobolev spaces of fractional order. Les Comptes l'Académie des Sciences / Série Math. 345, 49-54 (2007).
    • (2007) Les Comptes L'académie Des Sciences / Série Math. , vol.345 , pp. 49-54
    • Brauer, U.1    Karp, L.2
  • 3
    • 21844500850 scopus 로고
    • The cosmic no-hair theorem and the nonlinear stability of homogeneous Newtonian cosmological models
    • Brauer U., Rendall A., Reula O.: The cosmic no-hair theorem and the nonlinear stability of homogeneous Newtonian cosmological models. Class. Quant. Grav. 11, 2283-2296 (1994).
    • (1994) Class. Quant. Grav. , vol.11 , pp. 2283-2296
    • Brauer, U.1    Rendall, A.2    Reula, O.3
  • 4
    • 0020167834 scopus 로고
    • Problems with different time scales for nonlinear partial differential equations
    • Browning G., Kreiss H. O.: Problems with different time scales for nonlinear partial differential equations. SIAM J. Appl. Math. 42, 704-718 (1982).
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 704-718
    • Browning, G.1    Kreiss, H.O.2
  • 5
    • 34249962606 scopus 로고
    • Post-Newtonian approximation of the relativistic theory of gravitation on a cosmological background
    • Chugreev Y. V.: Post-Newtonian approximation of the relativistic theory of gravitation on a cosmological background. Theor. Math. Phys. 82, 328-333 (1990).
    • (1990) Theor. Math. Phys. , vol.82 , pp. 328-333
    • Chugreev, Y.V.1
  • 7
    • 0001670611 scopus 로고    scopus 로고
    • Averaging of a locally inhomogeneous realistic universe
    • Futamase T.: Averaging of a locally inhomogeneous realistic universe. Phys. Rev. D 53, 681-689 (1996).
    • (1996) Phys. Rev. D , vol.53 , pp. 681-689
    • Futamase, T.1
  • 9
    • 33646519450 scopus 로고    scopus 로고
    • Newtonian versus relativistic nonlinear cosmology
    • Hwang J., Noh H.: Newtonian versus relativistic nonlinear cosmology. Gen. Rel. Grav. 38, 703-710 (2006).
    • (2006) Gen. Rel. Grav. , vol.38 , pp. 703-710
    • Hwang, J.1    Noh, H.2
  • 10
    • 43049134479 scopus 로고    scopus 로고
    • Cosmological nonlinear hydrodynamics with post-Newtonian corrections
    • Hwang J., Noh H., Puetzfeld D.: Cosmological nonlinear hydrodynamics with post-Newtonian corrections. JCAP 3, 10 (2008).
    • (2008) Jcap , vol.3 , pp. 10
    • Hwang, J.1    Noh, H.2    Puetzfeld, D.3
  • 11
    • 21844489561 scopus 로고
    • On the Existence of rotating stars in general relativity
    • Heilig U.: On the Existence of rotating stars in general relativity. Commun. Math. Phys. 166, 457-493 (1995).
    • (1995) Commun. Math. Phys. , vol.166 , pp. 457-493
    • Heilig, U.1
  • 12
    • 0032327216 scopus 로고    scopus 로고
    • Fast and slow solutions in general relativity: The initialization procedure
    • Iriondo M. S., Leguizamón E. O., Reula O. A.: Fast and slow solutions in general relativity: the initialization procedure. J. Math. Phys. 39, 1555-1565 (1998).
    • (1998) J. Math. Phys. , vol.39 , pp. 1555-1565
    • Iriondo, M.S.1    Leguizamón, E.O.2    Reula, O.A.3
  • 13
    • 29144457310 scopus 로고    scopus 로고
    • Can the acceleration of our universe be explained by the effects of inhomogeneities?
    • Ishibashi A., Wald R. M.: Can the acceleration of our universe be explained by the effects of inhomogeneities?. Class. Quant. Grav. 23, 235-250 (2006).
    • (2006) Class. Quant. Grav. , vol.23 , pp. 235-250
    • Ishibashi, A.1    Wald, R.M.2
  • 14
    • 84990557419 scopus 로고
    • Compressible and incompressible fluids
    • Klainerman S., Majda A.: Compressible and incompressible fluids. Comm. Pure Appl. Math. 35, 629-651 (1982).
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 629-651
    • Klainerman, S.1    Majda, A.2
  • 15
    • 84980143584 scopus 로고
    • Problems with different time scales for partial differential equations
    • Kreiss H. O.: Problems with different time scales for partial differential equations. Comm. Pure Appl. Math. 33, 399-439 (1980).
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 399-439
    • Kreiss, H.O.1
  • 16
    • 84971960661 scopus 로고
    • Problems with different time scales
    • Kreiss H. O.: Problems with different time scales. Acta Numerical 1, 101-139 (1991).
    • (1991) Acta Numerical , vol.1 , pp. 101-139
    • Kreiss, H.O.1
  • 17
    • 0001673978 scopus 로고
    • Covariant Newtonian limit of Lorentz space-times
    • Künzle H. P.: Covariant Newtonian limit of Lorentz space-times. Gen. Rel. Grav. 7, 445-457 (1976).
    • (1976) Gen. Rel. Grav. , vol.7 , pp. 445-457
    • Künzle, H.P.1
  • 18
    • 21244491496 scopus 로고
    • A convergent post-Newtonian approximation for the constraints in general relativity
    • Lottermoser M.: A convergent post-Newtonian approximation for the constraints in general relativity. Ann. Inst. Henri Poincaré 57, 279-317 (1992).
    • (1992) Ann. Inst. Henri Poincaré , vol.57 , pp. 279-317
    • Lottermoser, M.1
  • 19
    • 0000426891 scopus 로고    scopus 로고
    • Post-Newtonian cosmological dynamics in Lagrangian coordinates
    • Matarrese S., Terranova D.: Post-Newtonian cosmological dynamics in Lagrangian coordinates. Mon. Not. Roy. Astron. Soc. 283, 400-418 (1996).
    • (1996) Mon. Not. Roy. Astron. Soc. , vol.283 , pp. 400-418
    • Matarrese, S.1    Terranova, D.2
  • 20
    • 34848849454 scopus 로고    scopus 로고
    • The Newtonian limit for perfect fluids
    • Oliynyk T. A.: The Newtonian limit for perfect fluids. Commun. Math. Phys. 276, 131-188 (2007).
    • (2007) Commun. Math. Phys. , vol.276 , pp. 131-188
    • Oliynyk, T.A.1
  • 21
    • 67349159148 scopus 로고    scopus 로고
    • Post-Newtonian expansions for perfect fluids
    • Oliynyk T. A.: Post-Newtonian expansions for perfect fluids. Commun. Math. Phys. 288, 847-886 (2009).
    • (2009) Commun. Math. Phys. , vol.288 , pp. 847-886
    • Oliynyk, T.A.1
  • 23
    • 0000020905 scopus 로고
    • On the definition of post-Newtonian approximations
    • Rendall A. D.: On the definition of post-Newtonian approximations. Proc. R. Soc. Lond. A 438, 341-360 (1992).
    • (1992) Proc. R. Soc. Lond. A , vol.438 , pp. 341-360
    • Rendall, A.D.1
  • 24
    • 21344498199 scopus 로고
    • The Newtonian limit for asymptotically flat solutions of the Vlasov-Einstein system
    • Rendall A. D.: The Newtonian limit for asymptotically flat solutions of the Vlasov-Einstein system. Commun. Math. Phys. 163, 89-112 (1994).
    • (1994) Commun. Math. Phys. , vol.163 , pp. 89-112
    • Rendall, A.D.1
  • 25
  • 26
    • 0040620902 scopus 로고
    • Symmetric hyperbolic systems with a large parameter
    • Schochet S.: Symmetric hyperbolic systems with a large parameter. Comm. Part. Diff. Eqs. 11, 1627-1651 (1986).
    • (1986) Comm. Part. Diff. Eqs. , vol.11 , pp. 1627-1651
    • Schochet, S.1
  • 27
    • 0001785854 scopus 로고
    • Asymptotics for symmetric hyperbolic systems with a large parameter
    • Schochet S.: Asymptotics for symmetric hyperbolic systems with a large parameter. J. Diff. Eqs. 75, 1-27 (1988).
    • (1988) J. Diff. Eqs. , vol.75 , pp. 1-27
    • Schochet, S.1
  • 28
    • 0002617221 scopus 로고
    • Post-Newtonian equations of motion in the flat universe
    • Shibata M., Asada H.: Post-Newtonian equations of motion in the flat universe. Prog. Theor. Phys. 94, 11-31 (1995).
    • (1995) Prog. Theor. Phys. , vol.94 , pp. 11-31
    • Shibata, M.1    Asada, H.2
  • 29
    • 0042916599 scopus 로고    scopus 로고
    • Post-Newtonian Lagrangian perturbation approach to the large-scale structure formation
    • Takada M., Futamase T.: Post-Newtonian Lagrangian perturbation approach to the large-scale structure formation. Mon. Not. R. Astron. Soc. 306, 64-88 (1999).
    • (1999) Mon. Not. R. Astron. Soc. , vol.306 , pp. 64-88
    • Takada, M.1    Futamase, T.2


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