A correlation between accelerated motion and a noncompact 5th dimension is proposed. The curvature invariants and the stress energy tensor in the bulk depend only on the 5th dimension $w$ and vanish asymptotically while the proper acceleration of a static observer is proportional to $1/w$. The brane (located at $w = w_{ 0}$) metric is conformally flat (of AdS type) with $\Lambda = -3/w_{ 0}^{ 2}$ and the invariant acceleration $a = \sqrt{ a^{ b}a_{ b}} = 1/w_{ 0}$. Therefore, we assume that a hyperbolic observer with the rest-system acceleration $a$ is embedded in the 5th dimension at $w_{ 0} = 1/a$.

Categories: gr-qc hep-th

Negative $\Lambda$ induced by accelerated motion