Induced Gravity on RS Branes

TL;DR

This paper investigates how a quantum-induced Einstein term on a Randall-Sundrum brane alters gravity's behavior, revealing a transition from four- to five-dimensional gravity at different scales and analyzing implications for cosmology and astrophysics.

Contribution

It demonstrates the significant impact of a localized Einstein term on the gravity law in RS branes, including spectrum analysis and parameter constraints.

Findings

Gravity transitions from 4D to 5D at different scales.

Spectrum of graviton fluctuations analyzed.

Constraints derived from astrophysical energy loss.

Abstract

It is shown that a localized four-dimensional Einstein term, induced by quantum corrections, modifies significantly the law of gravity in a Randall-Sundrum brane world. In particular, the short-distance behavior of gravity changes from five- to four-dimensional, while, depending on the values of parameters, there can be an intermediate range where gravity behaves as in five dimensions. The spectrum of graviton fluctuations around the brane, their relative importance for the gravitational force, and the relevance of their emission in the bulk for the brane cosmology are analysed. Finally, constraints on parameters are derived from energy loss in astrophysical and particle physics processes.