789 research outputs found
Killing-Yano symmetry for a class of spacetimes admitting parallel null 1-planes
A possible generalization of plane fronted waves with parallel rays
(gpp-wave) fall into a more general class of metrics admitting parallel null
1-planes. For gpp-wave metric, the zero-curvature condition is given, the
Killing-Yano tensors of order two and three are found and the corresponding
Killing tensors are constructed. Henceforth, the compatibility between
geometric duality and non-generic symmetries is presented.Comment: 11 pages, LaTeX, to be published in Il Nuovo Cimento
Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes
The presence of Killing-Yano tensors implies the existence of non-generic
supercharges in spinning point particle theories on curved backgrounds. Dual
metrics are defined through their associated non-degenerate Killing tensors of
valence two. Siklos spacetimes, which are the only non-trivial Einstein spaces
conformal to non-flat pp-waves are investigated in regards to the existence of
their corresponding Killing and Killing-Yano tensors. It is found that under
some restrictions, pp-wave metrics and Siklos spacetimes admit dual metrics and
non-generic supercharges. Possible significance of those dual spacetimes are
discussed.Comment: LaTeX, 8 page
Fractional Analogous Models in Mechanics and Gravity Theories
We briefly review our recent results on the geometry of nonholonomic
manifolds and Lagrange--Finsler spaces and fractional calculus with Caputo
derivatives. Such constructions are used for elaborating analogous models of
fractional gravity and fractional Lagrange mechanics.Comment: latex2e, 11pt, 11 pages with table of content; it is summary of the
results presented in our talk at the 3d Conference on "Nonlinear Science and
Complexity", 28--31 July, 2010, \c{C}hankaya University, Ankara, Turke
Metafluid dynamics and Hamilton-Jacobi formalism
Metafluid dynamics was investigated within Hamilton-Jacobi formalism and the
existence of the hidden gauge symmetry was analyzed. The obtained results are
in agreement with those of Faddeev-Jackiw approach.Comment: 7 page
Cosmological perturbations in FRW model with scalar field within Hamilton-Jacobi formalism and symplectic projector method
The Hamilton-Jacobi analysis is applied to the dynamics of the scalar
fluctuations about the Friedmann-Robertson-Walker (FRW). The gauge conditions
are found from the consistency conditions. The physical degrees of freedom of
the model are obtain by symplectic projector method. The role of the linearly
dependent Hamiltonians and the gauge variables in Hamilton-Jacobi formalism is
discussed.Comment: 11 page
Fractional Exact Solutions and Solitons in Gravity
We survay our recent results on fractional gravity theory. It is also
provided the Main Theorem on encoding of geometric data (metrics and
connections in gravity and geometric mechanics) into solitonic hierarchies. Our
approach is based on Caputo fractional derivative and nonlinear connection
formalism.Comment: latex2e, 11pt, 10 pages with table of content; a summary of our talk
at Conference "New Trends in Nanotechnology and Nonlinear Dynamical Systems",
25--27 July, 2010, \c{C}ankaya University, Ankara, Turke
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