MG11 
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A General Covariant Stability Theory

In the present work we establish a general covariant theory which can be used to study the stability of any system treated geometrically. Stability conditions are connected to the magnitude of the deviation vector. This theory is a modification of an earlier work by the same authors concerning stability. A comparison between this work and the earlier one is given. The suggested theory can be used to study the stability of planetary orbits, astrophysical configurations and cosmological models.

An Alternative Source for Dark Energy

In the present work, an alternative interpretation of the source of accelerated expansion of the Universe is suggested. A probable candidate is the interaction between the quantum spin of a moving particle and the torsion of space-time, produced by the background gravitational field of the Universe. This interaction has been suggested by the author in a previous work [1], with some experimental [2] and observational [3] evidences for its existence. It has been shown that this interaction gives rise to a repulsive force. The accelerated expansion of the Universe may give a further evidence on the existence of this interaction on the cosmological scale. [1] Wanas, M.I. (1998) Astrophys. Space Sci., 258, 237. [2] Wanas, M.I., Melek, M. and Kahil, M.E. (2000) Gravit. Cosmol., 6, 319. [3] Wanas, M.I., Melek, M. and Kahil, M.E. (2002) Proc. MGIX Part B, p.1100.