Weak gravity in the Dvali-Gabadadze-Porrati braneworld model

2003/05/12 by Takahiro Tanaka · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.69.024001

published as Phys.Rev. D69 (2004) 024001 · 7 pages, 1 figure, references added

arxiv created 2003/05/12 · openalex publication_date 2004/01/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We analyze weak gravity in the braneworld model proposed by Dvali, Gabadadze, and Porrati, in which the unperturbed background spacetime is given by a five-dimensional Minkowski bulk with a brane which has an induced Einstein-Hilbert term. This model has a critical length scale r_c. Naively, we expect that four-dimensional general relativity (4D GR) is approximately recovered at a scale below r_c. However, the simple linear perturbation does not work in this regime. Only recently has the mechanism to recover 4D GR been clarified under the restriction to spherically symmetric configurations, and the leading correction to 4D GR been derived. Here, we develop an alternative formulation which can handle more general perturbations. We also generalize the model by adding a bulk cosmological constant and the brane tension.

Citations

• Large Mass Hierarchy from a Small Extra Dimension
• Supernovae, CMB, and gravitational leakage into extra dimensions
• Massive and mass-less Yang-Mills and gravitational fields
• Gravity on a brane in infinite-volume extra space

Cited by

• Dirac relaxation of the Israel junction conditions: Unified Randall-Sundrum brane theory
• A six-dimensional (Z2)3symmetric model with warped physical space
• Nonlinear interactions in a cosmological background in the Dvali-Gabadadze-Porrati braneworld