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arXiv 1506.02481gr-qc
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具有非线性电动力学的Gauss-Bonnet引力中的磁膜:Einstein-Maxwell引力中磁膜的修正

Magnetic branes in Gauss-Bonnet gravity with nonlinear electrodynamics: correction of magnetic branes in Einstein-Maxwell gravity

Seyed Hossein Hendi, Shahram Panahiyan, Behzad Eslam Panah

摘要:

在本文中,我们考虑了Einstein-Maxwell引力的两个一阶修正:Gauss-Bonnet引力和二次Maxwell不变量。我们通过引入一个度量来表示拓扑亏损,从而得到了无水平磁场解。我们分析了解的几何性质,并研究了两种修正的影响,发现这些解可以解释为磁膜。我们研究了奇异性条件,并找到了一个非奇异的时空与圆锥几何。我们还研究了不同参数对原点附近时空亏损角的影响。

英文摘要:

In this paper, we are considering two first order corrections to both gravity and gauge sides of the Einstein-Maxwell gravity: Gauss-Bonnet gravity and quadratic Maxwell invariant as corrections. We obtain horizonless magnetic solutions by implying a metric which representing a topological defect. We analyze the geometric properties of the solutions and investigate the effects of both corrections, and find that these solutions may be interpreted as the magnetic branes. We study the singularity condition and find a nonsingular spacetime with a conical geometry. We also investigate the effects of different parameters on deficit angle of spacetime near the origin.

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