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Arrow of Time in Quantum Mechanics and Set Theory. [PDF]
Król J.
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Biophysical Fluid Dynamics in a Petri Dish
Fortune GT, Lauga E, Goldstein RE.
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Arnold’s singularity theory and gravitational lensing
Journal of Mathematical Physics, 1993Caustics in gravitational lensing are formulated from a symplectic geometric viewpoint. Arnold’s singularity theory is then used to give a rigorous local classification of generic gravitational lensing caustics and their evolutions. A local classification is also presented of generic image surfaces, time-delay image surfaces, big caustics, and ...
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Gravitation Without Singularity
Chinese Physics Letters, 2000The coupled Einstein-scalar-vector field equations are found, and their static spherically symmetric solutions are derived under the consideration of self-gravitational interaction of scalar field and proved to be singularity-free and of limited energy.
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Singularities in gravitational theory
Russian Physics Journal, 1992It is shown that in the absolute parallelism theory a unique choice of field equations can be made by requiring that the solutions extend beyond possible singularities, while for the equations of the general theory of relativity and R2-gravitation this condition is not satisfied.
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Foliation analysis of gravitation singularities
Physics Letters A, 1982Abstract Gravitation singularities are examined as singularities of space-time foliations which represent critical points of real functions on a space-time.
D. Ivanenko, G. Sardanashvily
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Singularities in Weyl gravitational fields
International Journal of Theoretical Physics, 1974The peculiarities of the scalarS ≡RijklRijkl are exhibited for two axially-symmetric static (Weyl) gravitational fields. By examiningS along curved families of trajectories to the Weyl singularities, examples are found which contradict previous claims by Gautreau and Anderson regarding ‘directional singularities’.
F. I. Cooperstock, G. J. Junevicus
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Precursory singularities in spherical gravitational collapse
Physical Review Letters, 1992Summary: General conditions are developed for the formation of naked precursory (``shell-focusing'') singularities in spherical gravitational collapse. These singularities owe their nakedness to the fact that the gravitational potential fails to be single valued prior to the onset of a true gravitational singularity.
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Marathe’s generalized gravitational fields and singularities
Il Nuovo Cimento B, 1983The field equation proposed by Penney and Marathe, the interesting mathematical properties of which have been studied by Marathe, is discussed from an original physical point of view. In particular, this equation is shown to admit solutions which are qualitatively different from analogous solutions of the Einstein equation since they have no ...
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