Physics of Particles and Nuclei Letters

, Volume 10, Issue 4, pp 295–299 | Cite as

Linear perturbations on the cosmological background in the relativistic theory of gravitation: I. Theory

Physics of Elementary Particles and Atomic Nuclei. Theory


We have derived a system of second-order ordinary differential equations to describe the evolution of small perturbations in the gravitational field and matter characteristics in RTG, with the cosmological solution being a background. These equations are shown to admit the effective gauge invariance, since the graviton mass can be neglected in most cases of interest. The standard expansion in scalar, vector, and tensor components is performed. The equations have been derived for each component.


Gauge Transformation Gravitational Field Nucleus Letter Linear Perturbation Graviton Mass 
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  1. 1.
    K. A. Modestov and Yu. V. Chugreev, “The problem of stability of the homogeneous and isotropic Universe in the relativistic theory of gravitation,” Phys. Part. Nucl. Lett. 6 275–288 (2009).CrossRefGoogle Scholar
  2. 2.
    A. A. Logunov, The Relativistic Theory of Gravitation (Nauka, Moscow, 2006) [in Russian].Google Scholar
  3. 3.
    E. M. Lifshits, “About gravitational stability of the expanding world,” Zh. Eksp. Teor. Fiz. 16, 587–602 (1946).Google Scholar
  4. 4.
    E. M. Lifshits and I. M. Khalatnikov, “Problems of relativistic cosmology,” Usp. Fiz. Nauk 80 391–438 (1963).MATHGoogle Scholar
  5. 5.
    L. D. Landau and E. M. Lifshitch, Theoretical Physics, vol. 2: The Theory of Field (Nauka, Moscow, 1988) [in Russian].Google Scholar
  6. 6.
    S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).Google Scholar
  7. 7.
    M. A. Mestvirishvili and Yu. V. Chugreev, “Friedmann model of evolution of the Universe in the relativistic theory of gravitation,” Teor. Mat. Fiz. 80, 305–312 (1989).MathSciNetMATHCrossRefGoogle Scholar
  8. 8.
    S. S. Gershtein, et al., “Evolution of the Universe in the field theory of gravitation,” Fiz. Elem. Chastits At. Yadra 36, 1003–1050 (2005).Google Scholar

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© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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