Dilatonic Brane-World Black Holes, Gravity Localization and Newton Constant

TL;DR

This paper explores solutions in dilatonic brane-world models, including black holes and various brane geometries, analyzing gravity localization, Newton law corrections, and quantum effects on the effective action.

Contribution

It introduces a family of dilatonic brane-world solutions with black holes and studies gravity localization and Newton constant RG flow.

Findings

Gravity can be localized near dilatonic black holes.

Brane corrections to Newton's law are estimated.

Quantum effects modify the 4d de Sitter structure.

Abstract

The family of brane-world solutions of d+1-dimensional dilatonic gravity is presented. It includes flat brane with small cosmological constant and (anti) de Sitter brane, dilatonic brane-world black holes (Schwarzschild-(anti-) de Sitter, Kerr, etc). Gravitational and dilatonic perturbations around such branes are found. It is shown that near dilatonic brane-world black hole the gravity may be localized in a standard form. The brane corrections to Newton law are estimated. The proposal to take into account the dilaton coupled brane matter quantum effects is made. The corresponding effective action changes the structure of 4d de Sitter wall. RG flow of four-dimensional Newton constant in IR and UV is briefly discussed.