A New Point of View on General Kaluza-Klein Theories(Astrophysics and Cosmology)

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概要

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• The general Kaluza-Klein theories are physical theories in which both the "cylinder condition" and the "compactification condition" from the classical Kaluza-Klein theory are not necessarily satisfied. Our study is developed on a general Kaluza-Klein space (M ^^-= M × K, g^^-), whose tangent bundle TM^^- splits into horizontal and vertical distributions HM^^- and VM^^-, respectively. The main tool in our new point of view is what we call the Riemannian horizontal connection ∇ on HM^^-, which plays in a general Kaluza-Klein theory, the same role as the Levi-Civita connection on the spacetime Min the classical Kaluza-Klein theory. This connection enables us to classify the geodesics of (M^^-, g^^-), to define the horizontal Einstein gravitational tensor field, and to write down in a covariant form, the field equations on (M^^-, g^^-). In particular, we apply the study to both the theory of Einstein-Bergmann spaces and the theory of general Kaluza-Klein spaces with bundle-like metric.

• 2012-09-25

著者

• Bejancu Aurel

  Department Of Mathematics Kuwait University

• BEJANCU Aurel

  Department of Mathematics, Kuwait University

関連論文

• Generic submanifolds of manifolds with a Sasakian 3-structure
• Anti-holomorphic submanifolds of almost Hermitian manifolds
• Geometry of vertical vector bundle and its applications
• A New Point of View on General Kaluza-Klein Theories(Astrophysics and Cosmology)

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