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Inflating Intersecting Branes and Remarks on the Hierarchy Problem
High Energy Physics - Phenomenology · Submitted 23 Sep 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim However, because the bulk inflates as well as the branes, this class of solutions suffers from Newton's constant tending toward zero on the TeV brane, where the Randall-Sundrum mechanism should solve the weak scale hierarchy problem.
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We generalize solutions of Einstein's equations for intersecting branes in higher dimensional spacetimes to the nonstatic case, modeling an expanding universe. The relation between the Hubble rate, the brane tensions, and the bulk cosmological constant is similar to the case of a single 3-brane in a 5-dimensional spacetime. However, because the bulk inflates as well as the branes, this class of solutions suffers from Newton's constant tending toward zero on the TeV brane, where the Randall-Sundrum mechanism should solve the weak scale hierarchy problem. The strength of gravity remains constant on the Planck brane, however.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We generalize solutions of Einstein's equations for intersecting branes in higher dimensional spacetimes to the nonstatic case, modeling an expanding universe. | contribution 0.99 | 0.93 | 0.11 | asserted 1.00 |
| s1 | The relation between the Hubble rate, the brane tensions, and the bulk cosmological constant is similar to the case of a single 3-brane in a 5-dimensional spacetime. | result 0.99 | 0.72 | 0.10 | asserted 1.00 |
| s2 | However, because the bulk inflates as well as the branes, this class of solutions suffers from Newton's constant tending toward zero on the TeV brane, where the Randall-Sundrum mechanism should solve the weak scale hierarchy problem. | limitation 0.98 | 0.79 | 0.67 | asserted 0.98 |
| s3 | The strength of gravity remains constant on the Planck brane, however. | result 0.95 | 0.78 | 0.12 | asserted 1.00 |
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Original abstract
We generalize solutions of Einstein's equations for intersecting branes in higher dimensional spacetimes to the nonstatic case, modeling an expanding universe. The relation between the Hubble rate, the brane tensions, and the bulk cosmological constant is similar to the case of a single 3-brane in a 5-dimensional spacetime. However, because the bulk inflates as well as the branes, this class of solutions suffers from Newton's constant tending toward zero on the TeV brane, where the Randall-Sundrum mechanism should solve the weak scale hierarchy problem. The strength of gravity remains constant on the Planck brane, however.
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2 arXiv papers cite this in 2 sentences
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This system was studied in the past in the context of standard gravity [ref] (cosmological properties were investigated in [ref] ), and Gauss-Bonnet gravity [ref] elaborating an idea developed in [ref] .
Induced gravity on intersecting brane-worlds Part II: Cosmology · Introduction · 0.92
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