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arXiv · 1104.5215

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

D. Bazeia·F. A. Brito·F. G. Costa
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Abstract

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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D. Bazeia, F. A. Brito, F. G. Costa. 2011-04-27. 3D black holes on a 2-brane in 4D Minkowski space. https://doi.org/10.1016/j.physletb.2011.09.066

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