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arXiv 1401.6985hep-thgr-qcmath-phmath.MP
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变张力动力膜世界的正则体解和黑弦

Regular Bulk Solutions and Black Strings from Dynamical Braneworlds with Variable Tension

D. Bazeia, J. M. Hoff da Silva, Roldao da Rocha

摘要:

作为一个特殊的情况下,一个动态的Friedmann-Robertson-Walker膜世界的规则的黑色弦的解决方案获得的一个特定的情况下,一个可变的膜张力。通过分析5D Kretschmann不变量,我们表明,可变膜张力是能够消除体奇性,沿着宇宙演化的一些时代。特别是,黑弦的时间依赖性的配置文件中的大部分进行了分析的上下文中的McVittie度规的Eötvös流体braneworld,其中流体动力学膜张力取决于膜的温度。对于一个由非相对论性物质或相对论性物质/辐射主导的宇宙,随着宇宙学时间的流逝,整个体积被证明是规则的。在一个特殊的情况下,相关的黑弦被证明沿着额外的维度有有限的延伸,这显著地改变了高维的物理奇点。对于一个由物质或辐射支配的宇宙,我们证明了膜奇点沿着额外维度被移除,作为可变膜张力的影响,也对应于黑弦视界的消失。在这种情况下,整体中存在正规解。我们进一步表明,没有额外的物理奇点引入的体积时,宇宙是由一个宇宙学常数占主导地位。

英文摘要:

Regular black strings solutions associated to a dynamical Friedmann-Robertson-Walker braneworld are obtained as a particular case of a regular bulk metric, in the context of a variable brane tension. By analyzing the 5D Kretschmann invariants, we show that the variable brane tension is capable to remove bulk singularities, along some eras of the evolution of the Universe. In particular, the black string time-dependent profile in the bulk is analyzed in the context of the McVittie metric on an Eötvös fluid braneworld, wherein the fluid dynamical brane tension depends on the brane temperature. The whole bulk is shown to be regular for a Universe dominated by non-relativistic matter or by relativistic matter/radiation, as the cosmological time elapses. In a particular case the associated black strings are shown to have finite extension along the extra dimension, what prominently modify the higher-dimensional physical singularities. For a Universe dominated by matter or radiation, we show that the brane singularities are removed along the extra dimension, as an effect of the variable brane tension, corresponding also to the vanishing of the black string horizon. In this case there is a regular solution in the bulk. We show further that no additional physical singularity is introduced in the bulk when the Universe is dominated by a cosmological constant.

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