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Projective Formalism and Some Methods from Algebraic Geometry in the Theory of Gravitation

Autor: Dimitrov, B. G.

The purpose of this paper is to propose the implementation of some methods from algebraic geometry in the theory of gravitation, and more especially in the variational formalism. It has been assumed that the metric tensor depends on two vector fields

Externí odkaz: http://arxiv.org/abs/gr-qc/0107089

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On the existence of a gyroscope in spaces with affine connections and metrics

Autor: Manoff, S., Dimitrov, B.

Publikováno v: Gen.Rel.Grav. 35 (2003) 25-33

Conditions for the existence of a gyroscope in spaces with affine connections and metrics are found. They appear as special types of Fermi-Walker transports for vector fields, lying in a subspace, orthogonal to the velocity vector field of an observe

Externí odkaz: http://arxiv.org/abs/gr-qc/0012011

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Weyl's spaces with shear-free and expansion-free conformal Killing vectors and the motion of a free spinless test particle

Autor: Manoff, S., Dimitrov, B.

Conditions for the existence of shear-free and expansion-free non-null vector fields in spaces with affine connections and metrics are found. On their basis Weyl's spaces with shear-free and expansion-free conformal Killing vectors are considered. Th

Externí odkaz: http://arxiv.org/abs/gr-qc/0011045

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Null Strings and Membranes in Demianski-Newman Background

Autor: Bozhilov, P., Dimitrov, B.

Publikováno v: Phys.Lett. B472 (2000) 54-58

We consider null bosonic p-branes moving in curved space-times. Some exact solutions of the classical equations of motion and of the constraints for the null string and the null membrane in Demianski-Newman background are found.
Comment: 7 pages

Externí odkaz: http://arxiv.org/abs/hep-th/9909092

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A Modified Variational Principle in Relativistic Hydrodynamics. II. Variations of the vector field and the projection tensor in the general case and under definite assumptions

Autor: Dimitrov, B. G.

The purpose of the paper is to develop further a projection variational approach in relativistic hydrodynamics. The approach, previously proposed in [gr-qc/9908032], is based on the variation of the vector field and the projection tensor (instead of

Externí odkaz: http://arxiv.org/abs/gr-qc/9909038

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A Modified Variational Principle in Relativistic Hydrodynamics. I.Commutativity and Noncommutativity of the Variation Operator with the Partial Derivative

Autor: Dimitrov, B. G.

A model is proposed, according to which the metric tensor field in the standard gravitational Lagrangian is decomposed into a projection (generally - with a non-zero covariant derivative) tensor field, orthogonal to an arbitrary 4-vector field and a

Externí odkaz: http://arxiv.org/abs/gr-qc/9908032

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