Dynamics of scalar-tensor cosmology from a Randall-Sundrum two-brane model

Journal Article · Mon Jan 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.023505· OSTI ID:20935207

Jaerv, Laur; Kuusk, Piret; Saal, Margus ^[1]

---

1. Institute of Physics, University of Tartu, Riia 142, Tartu 51014 (Estonia)

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 Friedmann-Lemaitre-Robertson-WalkerFLRW metric and perfect fluid matter on both branes in the Jordan frame, the effective dynamical equation for the A-brane (our Universe) scale factor decouples from the scalar field and B-brane matter leaving only a nonvanishing 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.

• OSTI ID: 20935207
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CONVERGENCE
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
COSMOLOGY
EQUATIONS
EXACT SOLUTIONS
EXPANSION
GENERAL RELATIVITY THEORY
IDEAL FLOW
MATTER
NUCLEOSYNTHESIS
PHASE SPACE
POTENTIALS
SCALAR FIELDS
SCALARS
SOLAR SYSTEM
TENSORS
UNIVERSE