Brane mechanism of spontaneously generated gravity

Abstract

The braneworld scenario is studied and the effective action of 3-brane living in 5-dim. Minkowski space is constructed. This action is proved to be invariant under spontaneously broken scale and Weyl symmetries and to encode a model of quadratic gravity generalizing the Starobinsky model. The symmetry breaking generates the Hilbert-Einstein term with the Newton constant $G_N\sim \frac{1}{{\mu }^2}$, where $\mu$ is a mass scale equal to the mean curvature of the vacuum hyper-worldsheet of 3-brane. This result proposes a brane modification of the mechanism of spontaneously generated gravity.

8 pages, v2: published in Physics of Particles and Nuclei. Corrected signs, typos

References in corpus (4)

• Inflation and reheating in theories with spontaneous scale invariance symmetry breaking
• Inflation versus collapse in brane matter
• Phenomenological Lagrangians, gauge models and branes
• $p$-Branes with $Ad{S}_{p+1}$ vacuum as models of $R^2$ gravity

Cited by in corpus (1)

• On possible composite structure of scalar fields in expanding universe