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Inhomogeneous model with cosmological term

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Abstract

In this paper, by allowing both pressure and curvature, we exhibit someproperties of the cosmological models with varying cosmological term inthe framework of the Lemaítre-Tolman-Bond (LTB) metric. For thepreceding consideration we derive from Einstein's equations (EFE's) ahomogeneous and inhomogeneous solutions. The evolution of these models isexhibited.We also derive another class of solutions that give the asymptotically toexponential `inflation' type model at the infinity.

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References

  • Weinberg, S.W.: 1989, Rev.Mod.Phys. 61, 1; ibid.: 1989 ibid., Rev.Mod.Phys. ibid. 61 ibid., 1 ibid. 'Theories of the cosmological constant', grqc/ 9610044.

    Google Scholar 

  • Ozer, M. and Taha, M.O.: 1987, Nucl.Phys.B 287, 776.

    Google Scholar 

  • Freese, K., Adams, F.C., Frieman, J.A. and Mottola, E.: 1987, Nucl.Phys.B 287, 797.

    Google Scholar 

  • Gasperini, M.: 1988, Class.Quantum Grav. 5, 521.

    Google Scholar 

  • Chen, W. and Wu, S.: 1990, Phys.Rev.D 41, 695.

    Google Scholar 

  • Calvão, M.O., de Oliveira, H.P., Pavón, D. and Salim, J.M.: 1992, Phys.Rev.D 45, 3869.

    Google Scholar 

  • Waga, I.: 1993, Astrophys.J. 414, 436.

    Google Scholar 

  • Salim, J.M. and Waga, I.: 1993, Class.Quantum Grav. 10, 1767.

    Google Scholar 

  • Overduim, J., Wesson, P.S. and Bowyer, S.: 1993, Astrophys.J. 404, 1.

    Google Scholar 

  • Lima, J.A.S. and Maia, J.M.F.: 1994, Phys.Rev.D 49, 5597.

    Google Scholar 

  • Matyjasek, J.: 1995, Phys.Rev.D 51, 4154.

    Google Scholar 

  • López, J.L. and Nanopoulos, D.V.: 1996, Mod.Phys.Lett.A 11, 1.

    Google Scholar 

  • Méndez, V. and Pavón, D.: 1996, Gen.Relativ.Gravitation 28, 679.

    Google Scholar 

  • Pavón, D.: 1991, Phys.Rev.D 43, 375–378.

    Google Scholar 

  • Weinberg, S.: 1989, Rev.Mod.Phys. 61, 1–23.

    Google Scholar 

  • Carrol, S.M. and Press, W.H.: 1992, Annu.Rev.Astron.Astrophys. 30, 499–542.

    Google Scholar 

  • Weinberg, S.: astro-ph/9610044.

  • Lemaître, A.G.: 1933, Ann.Soc.Sc.Brux.A 53, 51.

    Google Scholar 

  • Tolman, R.L.: 1934, Proc.Nat.Acad.Sci.USA 20, 169–176.

    Google Scholar 

  • Bondi, H.: 1947, Mon.Not.R.Astron.Soc. 107, 410.

    Google Scholar 

  • Tomimura, N.A. and Nogales, J.A.C.: 1998, Phys.Lett.A 242, 291–295.

    Google Scholar 

  • Abdel-Rahman, A.M.M.: 1995, Gen.Relativ.Gravitation 10, 573–582.

    Google Scholar 

  • Prigogine, I., Geheniau, J., Gunzig, E. and Nardone: 1989, Gen.Relativ.Gravitation 21, 767–776.

    Google Scholar 

  • Lima, J.A.S.: 1996, Phys.Rev.D 54, 2571–2577.

    Google Scholar 

  • Misner, C.W., Thorne, K.S. and Wheeler, J.A.: 1973, Gravitation, Freeman, San Francisco.

    Google Scholar 

  • Chimento, L.P. and Pavón, D.: gr-qc/9803079, 24 March 1998.

Download references

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Tomimura, N., Motta, D. Inhomogeneous model with cosmological term. Astrophysics and Space Science 274, 809–818 (2000). https://doi.org/10.1023/A:1026513020671

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