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Regular Schwarzschild-like spacetime embedded in a five dimensional bulk
Annals of Physics ( IF 3.0 ) Pub Date : 2021-08-14 , DOI: 10.1016/j.aop.2021.168582
Hristu Culetu 1
Affiliation  

We take advantage of the Shiromizu et al. covariant formalism to find out the brane properties originating from the five dimensional bulk spacetime. Making a different choice for the conformal factor e2b(z) compared to Estrada (0000), we reach a new solution with a lot of interesting properties, where b(z)=ln(1/cosh2μz). The non-local tensor Eab rooted from the 5-dimensional Riemann tensor gives an anisotropic stress energy tensor on the brane with positive energy density and negative radial pressure. The BH on the brane looks like a black string in the 5-dimensional space, with no singularities of the curvature invariants.



中文翻译:

嵌入五维体积中的规则施瓦西式时空

我们利用 Shiromizu 等人的优势。协变形式主义以找出源自五维体时空的膜性质。对适形因子做出不同的选择电子-2(z) 与 Estrada (0000) 相比,我们得到了一个具有许多有趣特性的新解决方案,其中 (z)=n(1/小时2μz). 非局部张量一个源于 5 维黎曼张量给出了具有正能量密度和负径向压力的膜上的各向异性应力能量张量。膜上的 BH 在 5 维空间中看起来像一条黑色的弦,没有曲率不变量的奇点。

更新日期:2021-08-24
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