Quadratic field equations on the brane

Details Quadratic field equations on the brane Quadratic field equations on the brane

2006-01-17

arxiv.org/abs/gr-qc/0601068v2

Nuovo Cim.B125:309-314,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in Nuovo Cimento, updated to coincide with the published version.

Scientific paper

10.1393/ncb/i2010-10873-7

It is shown that four dimensional vacuum Einstein solutions simply embedded in five dimensions obey the Gauss-Bonnet-Einstein field equations: $G_{ab}+\alpha GB_{ab}+\delta^{55}_{ab}\alpha\exp(-2\chi/\sqrt{\alpha})GB_4=0$ and the Pauli-Einstein equations $G_{ab}-3\alpha P_{ab}/5=0$, and the Bach-Einstein equations $B_{ab}=0$. 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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