Non-conformally flat bulk spacetime and the 3-brane world
Parampreet Singh, Naresh Dadhich
TL;DR
This paper demonstrates that in non-conformally flat bulk spacetimes, zero-mass graviton modes cannot be bound to the 3-brane, indicating instability unless the bulk is conformally flat like anti-de Sitter space.
Contribution
It reveals the instability of the brane world model in non-conformally flat bulk spacetimes by analyzing graviton mode binding.
Findings
No bound zero-mass graviton modes in non-conformally flat bulk
Instability of brane world model outside conformally flat bulk
Special stability in anti-de Sitter bulk
Abstract
We show that for non-conformally flat bulk spacetime, there exist no bound modes for zero mass graviton on the 3-brane. The brane world model is therefore unstable for the bulk spacetime being different from the conformally flat anti - de Sitter space.
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