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We investigate effective equations governing the volume expansion of spatially averaged portions of inhomogeneous cosmologies in spacetimes filled with an arbitrary fluid.
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Buchert, T.: Lagrangian perturbation approach to the formation of large-scale structure. in: International School of Physics Enrico Fermi
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Buchert, T., Ehlers J.: Averaging inhomogeneous Newtonian cosmologies. Astron. Astrophys. 320
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Ehlers, J., Buchert, T.: Newtonian cosmology in Lagrangian formulation: foundations and perturbation theory. Gen. Rel. Grav. 29
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Krasiński, A.: Inhomogeneous Cosmological Models. Cambridge University Press, Cambridge (1997)
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Buchert, T.: On average properties of inhomogeneous cosmologies. In: 9th JGRG Meeting, Hiroshima 1999, Y. Eriguchi et al. (eds.), J.G.R.G. 9
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[Paper I] Buchert, T.: On average properties of inhomogeneous fluids in general relativity: dust cosmologies. Gen. Rel. Grav. 32
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[Paper II] Buchert, T.: On average properties of inhomogeneous fluids in general relativity: perfect fluid cosmologies. Gen. Rel. Grav. 33
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Buchert, T., Carfora, M.: Cosmological parameters are dressed. Phys. Rev. Lett. 90
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Buchert, T.: A cosmic equation of state for the inhomogeneous universe: can a global far-from-equilibrium state explain dark energy? Class. Quant. Grav. 22
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Buchert, T.: On globally static and stationary cosmologies with or without a cosmological constant and the dark energy problem. Class. Quant. Grav. 23
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Buchert, T., Larena, J., Alimi, J.-M.: Correspondence between kinematical backreaction and scalar field cosmologies—the ‘morphon field’. Class. Quant. Grav. 23
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Buchert, T., Räsänen, S.: Backreaction in late-time cosmology. Ann. Rev. Nucl. Part. Sci. 62
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Ellis, G.F.R., Maartens, R., MacCallum, M.A.H.: Relativistic Cosmology. Cambridge University Press, Cambridge (2012)
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Gourgoulhon, E.: 3 + 1 3+1 Formalism in general relativity. Bases of numerical relativity. Lecture Notes in Physics vol. 846 , Springer, Berlin (2012)
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Kasai, M., Asada, H., Futamase, T.: Toward a no-go theorem for an accelerating universe through a nonlinear backreaction. Progr. Theor. Phys. 115
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Wiltshire, D.L.: Cosmic clocks, cosmic variance and cosmic averages. New Journal of Physics 9
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Alcubierre, M.: Introduction to 3 + 1 3+1 numerical relativity. Oxford University Press , Oxford (2008)
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Buchert, T.: Dark energy from structure—a status report. Gen. Rel. Grav. 40
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Bolejko, K.: Volume averaging in the quasispherical Szekeres model. Gen. Rel. Grav. 41
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Roy, X.: On the 1+3 formalism in general relativity. arXiv:1405.6319 (2014)
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Wiltshire, D.L.: Cosmic structure, averaging and dark energy. in: Cosmology and Gravitation
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Coley, A.A., Wiltshire, D.L.: What is General Relativity? Phys. Scripta 92
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Buchert, T.: On backreaction in Newtonian cosmology. Mon. Not. Roy. Astron. Soc. Lett. 473
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