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Torsion singularity in Weitzenbock spacetime

Chinese Science Bulletin 1995年第1期40卷 24-28页

作者：张承民陈方培 Department of Physics Hebei Insititute of Technology Tianjin 300130 China Institute of Theoretical PhysicsChinese Academy of SciencesP.O.Box 2735Beijing100080China Department of Physics Hebei Insititute of Technology Tianjin 300130 China Department of PhysicsDalian University of TechnologyDalian 116024China

On the basis of the gauge theory of the spacetime translation group, Hayashi formulated the new general relativity in Weitzenbock spacetime, which is characterized by the vanishing curvature tensor (absolute parallelism and by torsion tensor formed by four parallel vector fields. This theory agrees with all the experiments so far carried out in the solar system. The static, spherically symmetric exact vacuum solution is given in the isotropic coordinate through giving the parallel vector field or tetrads as follows:

关键词： singularity horizon torsion gravity.

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Continuum Mechanics of Space Seen from the Aspect of General Relativity An Interpretation of the gravity.Mechanism

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Journal of Earth Science and Engineering 2015年第3期5卷 188-202页

作者： Yoshinari Minami Advanced Science-Technology Research Organization (Formerly NEC Space Development Division) Yokohama 220-0062 Japan

A mechanical structure of space is suggested. On the supposition that a space as vacuum has a physical fine structure like continuum, it enables us to apply a continuum mechanics to the so-called ＂vacuum＂ of space. A space is an infinite continuum and its structure is determined by Riemannian geometry. Assuming that space is an infmite continuum, the pressure field derived from the geometrical structure of space is newly obtained by applying both continuum mechanics and General Relativity to space. A fundamental concept of space-time is described that focuses on theoretically innate properties of space including strain and curvature. As a trial consideration, gravity.can be explained as a pressure field induced by the curvature of space.

关键词： General Relativity continuum mechanics curvature strain space-time gravity.

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Modeling of Bubble Motion in Two Dimensional Space

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Journal of Energy and Power Engineering 2012年第12期6卷 1945-1951页

作者： Dinesh Khattar Bidhu Bhushan Chakraborty Seema Bansal Department of Mathematics Kirori Mal College University of Delhi Delhi 110007 India Department of Mathematics University of Delhi Delhi 110007 India Department of Mathematics Swami Shraddhanand College University of Delhi Delhi 110036 India

The equations of motion of a bubble, expanding adiabatically through an incompressible viscous fluid, are deduced when the centre of the bubble moves in a vertical plane in the presence of gravitational acceleration, acting vertically downwards. The non-linear equations of motion obtained are solved numerically for different values of the various parameters of the problem. The path traced by the centre of the bubble and velocity of the centre, the change of radius R with time, and the influence of the buoyancy force, which is experienced by the expanding bubble for different values of the gravitational acceleration on these quantities, are investigated. The radius R（t） of the bubble is found to vary periodically with time when the acceleration due to gravity.is small. But when the acceleration due to gravity.increases, this periodicity in the value of R（t） with t is lost. The influence of viscosity in determining the periodicity of the bubble motion is also investigated.

关键词： Bubble incompressible fluid viscous buoyancy gravity.

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