A Minimal Model for Dilatonic Gravity

Abstract

We study a new minimal scalar-tensor model of gravity with Brans-Dicke factor $\omega (\Phi )\equiv 0$ and cosmological factor $\Pi (\Phi )$. The constraints on $\Pi (\Phi )$ from known gravitational experiments are derived. We show that almost any time evolution of the scale factor in a homogeneous isotropic Universe can be obtained via properly chosen $\Pi (\Phi )$ and discuss the general properties of models of this type.

10 pages, LaTeX, no figures. A new Appendex added, new references, comments and acknowledgments added, typos corrected. Final version: to appear in Modern Physics Letters A

References in corpus (4)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• How to determine an effective potential for a variable cosmological term
• Torsion Dilaton and Novel Minimal Coupling Principle
• Planetary Perturbation with Cosmological Constant

Cited by in corpus (9)

• Testing General Relativity with Present and Future Astrophysical Observations
• Scalar-tensor gravity in an accelerating universe
• Solution generating in scalar-tensor theories with a massless scalar field and stiff perfect fluid as a source
• Withholding Potentials, Absence of Ghosts and Relationship between Minimal Dilatonic Gravity and f(R) Theories
• Compact static stars in minimal dilatonic gravity
• Inflation and Oscillations of Universe in 4D Dilatonic Gravity
• Modeling of non-rotating neutron stars in minimal dilatonic gravity
• Local energy-momentum conservation in scalar-tensor-like gravity with generic curvature invariants
• Compact statis stars with polytropic equation of state in minimal dilatonic gravity