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

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

2011-04-27

arxiv.org/abs/1104.5215v2

Phys. Lett. B 704 (2011) 631

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 5 figures, to appear in PLB

Scientific paper

10.1016/j.physletb.2011.09.066

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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