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  1.  15
    Clebsch representations and energy-momentum of the classical electromagnetic and gravitational fields.G. S. Asanov - 1980 - Foundations of Physics 10 (11-12):855-863.
    By means of a Clebsch representation which differs from that previously applied to electromagnetic field theory it is shown that Maxwell's equations are derivable from a variational principle. In contrast to the standard approach, the Hamiltonian complex associated with this principle is identical with the generally accepted energy-momentum tensor of the fields. In addition, the Clebsch representation of a contravariant vector field makes it possible to consistently construct a field theory based upon a direction-dependent Lagrangian density (it is this kind (...)
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  2.  27
    Gravitational field equations based on Finsler geometry.G. S. Asanov - 1983 - Foundations of Physics 13 (5):501-527.
    The analysis of a previous paper (see Ref. 1), in which the possibility of a Finslerian generalization of the equations of motion of gravitational field sources was demonstrated, is extended by developing the Finslerian generalization of the gravitational field equations on the basis of the complete contractionK = K lj lj of the Finslerian curvature tensorK l j hk (x, y). The relevant Lagrangian is constructed by the replacement of the directional variabley i inK by a vector fieldy i (x), (...)
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  3.  18
    A Finslerian extension of general relativity.G. S. Asanov - 1981 - Foundations of Physics 11 (1-2):137-154.
    A Finslerian extension of general relativity is examined with particular emphasis on the Finslerian generalization of the equation of motion in a gravitational field. The construction of a gravitational Lagrangian density by substituting the osculating Riemannian metric tensor in the Einstein density is studied. Attention is drawn to an interesting possibility for developing the theory of test bodies against the Finslerian background.
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