The dynamics of scalar-tensor cosmology from RS two-brane model
arXiv:gr-qc/0608109 · doi:10.1103/PhysRevD.75.023505
Abstract
We consider a Randall-Sundrum two-brane cosmological model in the low energy gradient expansion approximation by Kanno and Soda. It is a scalar-tensor theory with a specific coupling function and a specific potential. Upon introducing the FLRW metric and perfect fluid matter on both branes in the Jordan frame, the effective dynamical equation for the the A-brane (our Universe) scale factor decouples from the scalar field and B-brane matter leaving only a non-vanishing integration constant (the dark radiation term). We find exact solutions for the A-brane scale factor for four types of matter: cosmological constant, radiation, dust, and cosmological constant plus radiation. We perform a complementary analysis of the dynamics of the scalar field (radion) using phase space methods and examine convergence towards the limit of general relativity. In particular, we find that radion stabilizes at a certain finite value for suitable negative matter densities on the B-brane. Observational constraints from Solar system experiments (PPN) and primordial nucleosynthesis (BBN) are also briefly discussed.
25 pages, 8 figures
References in corpus (46)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
- Modulus Stabilization with Bulk Fields
- Brane cosmological evolution in a bulk with cosmological constant
- The Universe as a Domain Wall
- Gravity in the Randall-Sundrum Brane World
- Cosmological Expansion in the Presence of an Extra Dimension
- Cosmology of Brane Models with Radion Stabilization
- Cosmology of One Extra Dimension with Localized Gravity
- New BBN limits on Physics Beyond the Standard Model from He4
- Primordial Nucleosynthesis for the New Cosmology: Determining Uncertainties and Examining Concordance
- Primordial Nucleosynthesis in Light of WMAP
- Primordial Nucleosynthesis: Successes And Challenges
- The Behaviour Of Cosmological Models With Varying-G
- Big bang nucleosynthesis constraints on scalar-tensor theories of gravity
- Radion and Holographic Brane Gravity
- Observational Constraints on Dark Radiation in Brane Cosmology
- Big Bang nucleosynthesis and tensor-scalar gravity
- Brane World Effective Action at Low Energies and AdS/CFT Correspondence
- BBN For Pedestrians
- Cosmological evolution with brane-bulk energy exchange
- Constraints on the Variation of G from Primordial Nucleosynthesis
- Nucleosynthesis Constraints on Scalar-Tensor Theories of Gravity
- Scalar-Tensor Cosmologies and their Late Time Evolution
- The radion in brane cosmology
- Cosmological Evolution of Brane World Moduli
- The Generalized Dark Radiation and Accelerated Expansion in Brane Cosmology
- Convergence of Scalar-Tensor theories toward General Relativity and Primordial Nucleosynthesis
- Observational Constraints on Accelerating Brane Cosmology with Exchange between the Bulk and Brane
- Cosmology with Radion and Bulk Scalar Field in Two Branes Model
- Braneworld dynamics with the BraneCode
- Cosmological Acceleration from Energy Influx
- Big Bang Nucleosynthesis Constraints on Brane Cosmologies
- Radion and Large Scale Anisotropy on the Brane
- Born-Again Braneworld
- Low Energy Branes, Effective Theory and Cosmology
- Effective theory for close limit of two branes
- Low Energy Effective Action for Horava-Witten Cosmology
- Braneworld Flux Inflation
- High-Energy theory for close Randall Sundrum branes
- High-energy effective theory for matter on close Randall Sundrum branes
- Two-Brane Randall-Sundrum Model in AdS_5 and dS_5
- BRANECODE: A Program for Simulations of Braneworld Dynamics
- High-energy effective theory for a bulk brane
- A Cosmological Model of Holographic Brane Gravity
Cited by in corpus (12)
- Cosmological dynamics of Scalar--Tensor Gravity
- Transformation properties and general relativity regime in scalar-tensor theories
- Scalar-tensor cosmologies: fixed points of the Jordan frame scalar field
- Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view
- Post-Newtonian parameters and cosmological constant of screened modified gravity
- Scalar-tensor cosmology at the general relativity limit: Jordan vs Einstein frame
- Scalar-tensor cosmologies with dust matter in the general relativity limit
- Scalar-tensor cosmologies: general relativity as a fixed point of the Jordan frame scalar field
- Remarks on generalized scalar-tensor models of dark energy
- Remarks on (super-)accelerating cosmological models in general scalar-tensor gravity
- From inflation to dark energy in scalar-tensor cosmology
- Global Portraits of Inflation in Nonsingular Variables