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  • 1
    Electronic Resource
    Electronic Resource
    A new approach to the theory with variable gravitational constant (1990)
    Springer
    Astrophysics and space science 167 (1990), S. 271-280 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A theory with variable gravitational constant, based on the bimetric formulation of general relativity, is suggested. It is in agreement with the Newtonian and post-Newtonian approximations of the theory of gravitation when the theory parameter |ζ|≫4×10−6. The statical spherical-symmetric distribution of gravitating masses is investigated. It is shown that the total action (including the own gravitational field of the system)S=−Mτ, where τ is the time in the remote system of reference, relative to which the celestial body is in rest. In the Brans-Dicke theory |ζ|≫1 andS≠−Mτ. The Tolman formula for the massM in the Einstein theory is also valid in the suggestedGeneralized Bimetric Theory of Gravitation. External analytical and internal numerical solutions of the field equations are found for the case of incompressible matter. It is shown that static and supermassive configurations may exist if −0.13≲ζ〈0.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00659353
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  • 2
    Electronic Resource
    Electronic Resource
    New alternative for general relativity theory (1991)
    Springer
    Astrophysics and space science 180 (1991), S. 39-45 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This paper presents a scalar-tensor theory of gravitation with a flat background metric and an arbitrary coupling function. In what concerns PPN approximation as well as the speed and polarization of the weak gravitational wave, the suggested theory coincides with GR, while in the case of the strong field of gravitation it may considerably differ from GR.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00644227
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  • 3
    Electronic Resource
    Electronic Resource
    Is there GR in the bimetric scalar-tensor theory of gravitation? (1993)
    Springer
    Astrophysics and space science 207 (1993), S. 1-4 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A theory of gravitation with a flat background metric and a dynamical variableφ (variable gravitational constant) is investigated. It is shown that such bimetric scalar-tensor theory (BSTT) generalized GR as all the solutions of GR equations andφ(x) = constant satisfy BSTT equations, firstly, and BSTT equations contain non-Einstein solutions with the variableφ, secondly. Due to this fact, the problem on the agreement of BSTT with the observational data is reduced to the problem on the agreement of GR with the observational data and to the interpretation of the solutions with the variableφ. The latter may prove useful for the prediction of new effects. Examples of such effects are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00659124
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  • 4
    Electronic Resource
    Electronic Resource
    Emission of gravitational waves in the scalar-tensor theory of gravitation (1993)
    Springer
    Astrophysics 36 (1993), S. 258-262 
    Details
    ISSN: 1573-8191
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01005935
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  • 5
    Electronic Resource
    Electronic Resource
    Integral conservation laws in bimetric scalar-tensor theory (1994)
    Springer
    Astrophysics 37 (1994), S. 100-103 
    Details
    ISSN: 1573-8191
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We have obtained covariant expressions for conserved 4-momentum and angular momentum in a gravitational field with matter within the framework of the bimetric scalar-tensor theory of gravitation. These quantities are represented as surface integrals, allowing us to calculate their values using only data in the asymptotic region far from the source.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02114001
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  • 6
    Electronic Resource
    Electronic Resource
    String cosmology and dynamical compactification (1996)
    Springer
    Astrophysics 39 (1996), S. 153-168 
    Details
    ISSN: 1573-8191
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Multidimensional, anisotropic cosmological models with Ricci-flat subspaces are investigated within the framework of low-energy string theory. The main properties of these models, their behavior at early and late stages of evolution, in particular, are determined on the basis of a qualitative theory of dynamical systems. The conditions for dynamical compactification of extra dimensions are found. A concrete model with a Kalb — Ramond field as the source is considered as an illustration.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02044800
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  • 7
    Electronic Resource
    Electronic Resource
    Models of neutron stars in generalized bimetric theory of gravitation (1991)
    Springer
    Astrophysics 35 (1991), S. 318-322 
    Details
    ISSN: 1573-8191
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01005051
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  • 8
    Electronic Resource
    Electronic Resource
    Bimetric formulation of scalar-tensor theories of gravitation and conservation laws (1994)
    Springer
    Astrophysics 37 (1994), S. 89-96 
    Details
    ISSN: 1573-8191
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The scalar-tensor theories are formulated against a flat background space-time. Expressions for various energy-momentum tensors of the gravitational field and relations between them are obtained. Integral conservation laws are examined and formulas for four-momentum and angular momentum tensor of the gravitational field together with the matrix are derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02113999
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  • 9
    Electronic Resource
    Electronic Resource
    Modified EIH formalism in BSTT. Gravitational radiation (1993)
    Springer
    Astrophysics 36 (1993), S. 361-365 
    Details
    ISSN: 1573-8191
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01006231
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  • 10
    Electronic Resource
    Electronic Resource
    Exact solutions of a flat cosmological model in BSTT (1994)
    Springer
    Astrophysics 37 (1994), S. 189-195 
    Details
    ISSN: 1573-8191
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We solve the cosmological equations for the bimetric scalar—tensor theory of gravitation (BSTT) for a flat model of the Friedmann type with the equation of state p = aε. In the initial stage of expansion, the energy density of the scalar field dominates over the energy density of matter. As a result, the behavior of the solution in this limit does not depend on a. For later stages of expansion of the Universe, the solution obtained goes to a special solution having the form of a power law function of time. In this case, the relative change in the gravitational scalar is proportional to the Hubble parameter. In the limit of large values for the parameter of the theory, only a simple solution with zero value of the constant of integration goes to the corresponding Friedmann solution of general relativity theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02275222
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