S. H. Fakhr, M. Eingorn, A. Zhuk


Fine tuning can be called a main disadvantage of the Randall-Sundrum model, representing the most popular brane world model, constructed quite artificially in the five-dimensional space-time. It needs a bare multidimensional cosmological constant, which is related strictly to four-dimensional tension (the brane physical property). Here we try to avoid this problem of naturalness, introducing a perfect fluid with arbitrary equations of state in both three-dimensional external and onedimensional internal spaces parallel with the cosmological constant. It enables to preserve randomness of parameters of the considered model, which represents the direct generalization of the Randall-Sundrum one. We derive equations for background metric coefficients, determining a wide class of new exact solutions, and discuss uselessness of subsequent development of brane world models in view of their unjustified plurality.

Ключові слова

brane world models; extra dimensions.

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J.Polchinski, String Theory, Volume 2: Superstring Theory and Beyond, Cambridge University Press, Cambridge, 1998.

M.Eingorn and A.Zhuk: 2010, Class. Quant. Grav. 27, 205014.

C.M.Will, Was Einstein Right? Testing Relativity at the Century, in 100 Years of Relativity: Spacetime Structure – Einstein and Beyond, ed. Abhay Ashtekar, World Scientific, Singapore, 2005.

N.Straumann, General Relativity and Relativistic Astrophysics, Springer-Verlag, Berlin, Heidelberg, 1984.

L.D.Landau and E.M.Lifshitz, The Classical Theory of Fields, Fourth Edition, Volume 2 (Course of Theoretical Physics Series), Pergamon Press, Oxford, 2000.

C.M.Will, Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge, 2000.

V.A.Rubakov: 2001, Phys. Usp., 44, 871.

A.O.Barvinsky: 2005, Phys. Usp., 48, 545.

L.Randall and R.Sundrum: 1999, Phys. Rev. Lett., 83, 4690.

J. Garriga and T. Tanaka: 2000, Phys. Rev. Lett., 84, 2778.

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