Quadratic field equations on the brane
Roberts, Mark D.
Original · EN
It is shown that four dimensional vacuum Einstein solutions simply embedded in five dimensions obey the Gauss-Bonnet-Einstein field equations: Gab+αGBab+δ⁵⁵abα(-2χ/√α)GB₄=0 and the Pauli-Einstein equations Gab-3αPab/5=0, and the Bach-Einstein equations Bab=0. General equations are calculated for which these and similar results follow. It is briefly argued that such field equations could be significant on large distance scales.
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