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首页> 外文期刊>Algebras, groups and geometries >SPHERICAL COMPACTIFICATION OF TWO EXTRA DIMENSIONS IN KALUZA-KLEIN GEOMETRIES: APPROXIMATE SOLITON SOLUTIONS
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SPHERICAL COMPACTIFICATION OF TWO EXTRA DIMENSIONS IN KALUZA-KLEIN GEOMETRIES: APPROXIMATE SOLITON SOLUTIONS

机译：Kaluza-Klein几何中二维的球面压缩：近似孤子解

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摘要

Multidimensional Kaluza-Klein models with toroidal compactifi-cation of extra dimensions face a severe problem. It lies in contradiction with the gravitational tests (the perihelion shift, the deflection of light, the time delay of radar echoes and PPN parameters) for a dust-like matter source of the gravitational field. One of the alternative choices of the further development direction lies in the change of the compactification type. According to this possible choice, we consider two extra dimensions compactified on a two-sphere, representing the curved internal space. In order to provide this curvature, we introduce the background matter in the form of a perfect fluid with the vacuum equation of state in the external space and an arbitrary equation of state in the internal space, as well as a bare multidimensional cosmological constant. Then we perturb the background by the non-dust-like matter source of the gravitational field, possessing tension in the internal space. As a result, we arrive at approximate soliton solutions and impose experimental constraints on their parameters in order to satisfy the gravitational tests.
机译：具有额外尺寸的环形压实的多维Kaluza-Klein模型面临着严重的问题。它与重力场的尘埃状物质源的引力测试（近日点偏移，光的偏转，雷达回波的时间延迟和PPN参数）矛盾。进一步发展方向的替代选择之一是压实类型的改变。根据这个可能的选择，我们考虑在两个球体上压实的两个额外尺寸，它们代表了弯曲的内部空间。为了提供这种曲率，我们以完美流体的形式引入背景物质，该物质具有外部空间中的真空状态方程和内部空间中的任意状态方程，以及裸露的多维宇宙学常数。然后，我们通过引力场的非粉尘物质源扰动背景，在内部空间中具有张力。结果，我们得出了近似的孤子解，并对它们的参数施加了实验约束，以便满足引力测试。

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  • 来源
    《Algebras, groups and geometries》 |2012年第4期|377-392|共16页
  • 作者

    Alexey Chopovsky; Maxim Eingorn; Alexander Zhuk;

  • 作者单位

    Odessa National University named after I.I. Mechnikov 2, Dvoryanskaya Street, Odessa 65082, Ukraine;

    Odessa National University named after I.I. Mechnikov 2, Dvoryanskaya Street, Odessa 65082, Ukraine;

    Odessa National University named after I.I. Mechnikov 2, Dvoryanskaya Street, Odessa 65082, Ukraine;

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