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Exact solutions in brans-dicke theory: A dynamical system approach

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Abstract

A method is furnished for constructing isotropic and homogeneous solutions in Brans-Dicke theory based on the analysis of the dynamical system formed by the field equations. Large classes of solutions found in the literature are recovered and shown to be special cases of those generated by this method.

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References

  • Andronov, A. A. et al.: 1973,Qualitative Theory of Second Order Dynamic Systems, John Wiley and Sons, New York.

    Google Scholar 

  • Belinskii, V. A. and Grishchuk, L. P.: 1986,Soviet Phys. JETP 62, 195.

    Google Scholar 

  • Bogoyavlensky, Oleg I.: 1985,Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics, Springer-Verlag, Berlin.

    Google Scholar 

  • Brans, C. and Dicke, R.: 1961,Phys. Rev. 124, 925.

    Google Scholar 

  • Dicke, R. H.: 1968,Astrophys. J. 154, 892.

    Google Scholar 

  • Lorenz-Petzold, D.: 1983, ‘Exact Brans-Dicke-Bianchi Solutions’,Lectures Notes in Physics, Vol. 205, Springer-Verlag, Berlin, p. 403.

    Google Scholar 

  • Nariai, H.: 1968a,Prog. Theor. Phys. 40, 49.

    Google Scholar 

  • Nariai, H.: 1968b,Prog. Theor. Phys. 42, 544.

    Google Scholar 

  • O'Hanlon, J. and Tupper, B. J.: 1972,Nuovo Cimento B7, 305.

    Google Scholar 

  • Novello, M. and Romero, C.: 1987,Gen. Rel. Grav. 19, 1003.

    Google Scholar 

  • Raychaudhuri, A. K.: 1979,Theoretical Cosmology, Clarendon Press, Oxford.

    Google Scholar 

  • Romero, C., Oliveira, H. P., and de Mello Neto, J. R. T.: 1989,Astrophys. Space Sci. 148, 229.

    Google Scholar 

  • Sansoni, G. and Conti, R.: 1964,Non-Linear Differential Equations, Pergamon Press, Oxford.

    Google Scholar 

  • Singh, R. T. and Deo Shridhar: 1987,Int. J. Theor. Phys. 26, 901.

    Google Scholar 

  • Turkowski, P. and Maslanka, K.: 1987,Gen. Rel. Grav. 19, 611.

    Google Scholar 

  • Weinberg, S.: 1972,Gravitation and Cosmology, John Wiley and Sons, New York, Ch. 16, Section 4.

    Google Scholar 

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Research partially supported by CNPq, Brazil.

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Romero, C., Oliveira, H.P. Exact solutions in brans-dicke theory: A dynamical system approach. Astrophys Space Sci 159, 1–9 (1989). https://doi.org/10.1007/BF00640482

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  • DOI: https://doi.org/10.1007/BF00640482

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