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
The paper discusses a mechanism for generating four-dimensional Newtonian gravity on a 3-brane embedded in a 5D Minkowski space with an infinite-size extra dimension. The authors propose that the 4D scalar curvature term in the worldvolume brane action can account for the correct 4D Newtonian interaction, despite gravity propagating in the 5D space. This mechanism is compatible with unbroken symmetries and can be generated by quantum corrections. The paper explores the potential behavior at short and large distances, showing that the potential scales as \(1/r\) at short distances and \(1/r^2\) at large distances. It also examines the tensor structure of the graviton propagator, which is consistent with a 4D tensor-scalar gravity model. The authors discuss phenomenological issues, including the need to cancel additional attractive forces and the crossover scale where the 4D behavior changes. They conclude by suggesting that models with infinite-size extra dimensions can be made phenomenologically viable through the addition of extra fields.The paper discusses a mechanism for generating four-dimensional Newtonian gravity on a 3-brane embedded in a 5D Minkowski space with an infinite-size extra dimension. The authors propose that the 4D scalar curvature term in the worldvolume brane action can account for the correct 4D Newtonian interaction, despite gravity propagating in the 5D space. This mechanism is compatible with unbroken symmetries and can be generated by quantum corrections. The paper explores the potential behavior at short and large distances, showing that the potential scales as \(1/r\) at short distances and \(1/r^2\) at large distances. It also examines the tensor structure of the graviton propagator, which is consistent with a 4D tensor-scalar gravity model. The authors discuss phenomenological issues, including the need to cancel additional attractive forces and the crossover scale where the 4D behavior changes. They conclude by suggesting that models with infinite-size extra dimensions can be made phenomenologically viable through the addition of extra fields.
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