Universal aspects of gravity localized on thick branes

By Csaba Csáki, J. Erlich, T. Hollowood, Y. Shirman. 2000

417 citations recorded by the source corpus.

Abstract We study gravity in backgrounds that are smooth generalizations of the Randall–Sundrum model, with and without scalar fields. These generalizations include three-branes in higher dimensional spaces which are not necessarily anti-de Sitter far from the branes, intersecting brane configurations and configurations involving negative tension branes. We show that under certain mild assumptions there is a universal equation for the gravitational fluctuations. We study both the graviton ground state and the continuum of Kaluza–Klein modes and we find that the four-dimensional gravitational mode is localized precisely when the effects of the continuum modes decouple at distances larger than the fundamental Planck scale. The decoupling is contingent only on the long-range behaviour of the metric from the brane and we find a universal form for the corrections to Newton's law. We also comment on the possible contribution of resonant modes. Given this, we find general classes of metrics which maintain localized four-dimensional gravity. We find that three-brane metrics in five dimensions can arise from a single scalar field source, and we rederive the BPS type conditions without any a priori assumptions regarding the form of the scalar potential. We also show that a single scalar field cannot produce conformally-flat locally intersecting brane configurations or a p -brane in greater than ( p +2)-dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/592f0be513ed1f6a3621605869f4cfa668b98126

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. A. Karch
2. L. Randall
3. M. Gremm
4. T. Takayanagi
5. B. McInnes
6. S. Raju
7. R. Myers
8. M. Gutperle

In Nuclear and High Energy Physics

1. A. Karch
2. L. Randall
3. T. Takayanagi
4. M. Gremm
5. R. Myers
6. B. McInnes
7. S. Raju
8. M. Gutperle

Citations in the corpus

• Thick domain walls and singular spaces (2000, background): “We will comment on the differences between these two examples in Section IV.”
• Locally localized gravity (2000, background): “equation with a “volcano potential”, which can be derived for arbitrary warp factor, see e.g. [2, 13 ].”