4D Gravity on a Brane in 5D Minkowski Space

4D Gravity on a Brane in 5D Minkowski Space

April 25, 2000 | Gia Dvali, Gregory Gabadadze, Massimo Porrati
This paper presents a mechanism by which four-dimensional Newtonian gravity emerges on a 3-brane in 5D Minkowski space with an infinite extra dimension. The authors propose that the 4D scalar curvature term in the worldvolume brane action can generate the correct 4D Newtonian interaction on a brane, even though gravity propagates in 5D Minkowski space. This term is compatible with all the symmetries left unbroken on the brane and can be included in the theory. The model shows that the 4D gravitational potential at short distances is 1/r, while at large distances it behaves as a 5D theory. The authors also discuss the implications of this model for supersymmetry breaking and the cosmological constant problem. They present a simple example with a scalar field and show that the potential mediated by this scalar has a 4D nature at short distances and a 5D nature at large distances. The paper also discusses the tensor structure of the graviton propagator and shows that it has a structure similar to a 4D tensor-scalar gravity. The authors conclude that their model is a viable candidate for explaining 4D gravity on a brane in 5D flat space.This paper presents a mechanism by which four-dimensional Newtonian gravity emerges on a 3-brane in 5D Minkowski space with an infinite extra dimension. The authors propose that the 4D scalar curvature term in the worldvolume brane action can generate the correct 4D Newtonian interaction on a brane, even though gravity propagates in 5D Minkowski space. This term is compatible with all the symmetries left unbroken on the brane and can be included in the theory. The model shows that the 4D gravitational potential at short distances is 1/r, while at large distances it behaves as a 5D theory. The authors also discuss the implications of this model for supersymmetry breaking and the cosmological constant problem. They present a simple example with a scalar field and show that the potential mediated by this scalar has a 4D nature at short distances and a 5D nature at large distances. The paper also discusses the tensor structure of the graviton propagator and shows that it has a structure similar to a 4D tensor-scalar gravity. The authors conclude that their model is a viable candidate for explaining 4D gravity on a brane in 5D flat space.
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