Radion stability and induced, on-brane geometries in an effective scalar-tensor theory of gravity
arXiv:1309.4244 · doi:10.1103/PhysRevD.88.123509
Abstract
About a decade ago, using a specific expansion scheme, effective, on-brane scalar tensor theories of gravity were proposed by Kanno and Soda (Phys.Rev. {\bf D 66} 083506 ,(2002)) in the context of the warped two brane model of Randall--Sundrum. The inter-related effective theories on both the branes were derived with the space-time dependent radion field playing a crucial role. Taking a re-look at this effective theory, we find cosmological and spherically symmetric, static solutions sourced by a radion--induced, effective stress energy, as well as additional, on-brane matter. The distance between the branes (governed by the time or space dependent radion) is shown to be stable and asymptotically non-zero, thereby setting aside any possibility of brane collisions. It turns out that the inclusion of on-brane matter plays a decisive role in stabilising the radion - a fact which we demonstrate through our solutions.
arXiv comment19 pages, 5 figures
References in corpus (19)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Hierarchies from Fluxes in String Compactifications
- Modulus Stabilization with Bulk Fields
- The Einstein Equations on the 3-Brane World
- Brane-World Gravity
- Black holes on the brane
- Radion and Holographic Brane Gravity
- Brane World Effective Action at Low Energies and AdS/CFT Correspondence
- Low energy effective theory for two branes system
- Low Energy Effective Action for Dilatonic Braneworld --A Formalism for Inflationary Braneworld--
- Can we live on a D-brane? -- Effective theory on a self-gravitating D-brane --
- Low energy effective gravitational equations on a Gauss-Bonnet brane
- Effective theory for close limit of two branes
- Low energy effective theory on a regularized brane in six-dimensional flux compactifications
- Low-energy effective theory for a Randall-Sundrum scenario with a moving bulk brane
- A Slant on Warped Extra Dimensions