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arXiv 1104.5215hep-thgr-qc
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四维Minkowski空间中2-膜上的三维黑洞

3D black holes on a 2-brane in 4D Minkowski space

D. Bazeia, F. A. Brito, F. G. Costa

摘要:

我们研究了嵌入在平坦四维时空中的2-膜上诱导的2+1维纯质量引力和新质量引力领域中的三维黑洞解。在膜上和四维体上都没有宇宙学常数。只有引力场是打开的,我们确实发现真空解决方案作为黑洞在2+1维,即使在没有任何宇宙学的解决方案。有一个交叉尺度控制着三维或四维引力在2-膜上表现的程度。我们的解还表明,当我们从小到大的距离探测时,局部BTZ和SdS_3解可以流向局部四维Schwarzschild类黑洞,这显然是2-膜上的高维表现。这类似于DGP的情况,在DGP的情况下,额外维度对沿着膜的大探测距离的影响显现出来。

英文摘要:

We investigate three-dimensional black hole solutions in the realm of pure and new massive gravity in 2+1 dimensions induced on a 2-brane embedded in a flat four-dimensional spacetime. There is no cosmological constant neither on the brane nor on the four-dimensional bulk. Only gravitational fields are turned on and we indeed find vacuum solutions as black holes in 2+1 dimensions even in the absence of any cosmological solution. There is a crossover scale that controls how far the three- or four-dimensional gravity manifests on the 2-brane. Our solutions also indicate that local BTZ and SdS_3 solutions can flow to local four-dimensional Schwarzschild like black holes, as one probes from small to large distances, which is clearly a higher dimensional manifestation on the 2-brane. This is similar to the DGP scenario where the effects of extra dimensions for large probed distances along the brane manifest.

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