Eur. Phys. J. Plus (2015) 130: 65
https://doi.org/10.1140/epjp/i2015-15065-9

Regular Article

Negative Λ induced by accelerated motion

Department of Physics, Ovidius University, Mamaia Avenue 124, 900527, Constanta, Romania

^* e-mail: hculetu@yahoo.com

Received: 26 January 2015
Accepted: 16 March 2015
Published online: 10 April 2015

Abstract

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 Λ = −3/w ₀ ² and the invariant acceleration . Therefore, we assume that a hyperbolic observer with the rest-system acceleration a is embedded in the 5th dimension at w ₀ = 1/a.