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Fatal Missing Link from Classical Brane Dynamics to Einstein Gravity and a Quantum Theoretical Solution

Keiichi Akama
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Abstract

It is argued that the Einstein equation on a braneworld at low curvature cannot be derived from its classical brane dynamics (i. e. dynamics of the brane as a classical object in the higher dimensional spacetime) as far as the action of the system has smooth low-curvature limit. We discuss possible solutions to the problem.

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Keiichi Akama. 2006-08-26. Fatal Missing Link from Classical Brane Dynamics to Einstein Gravity and a Quantum Theoretical Solution. https://arxiv.org/abs/gr-qc/0607106

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