Semiclassical corrections to the Einstein equation and Induced Matter Theory

Details Semiclassical corrections to the Einstein equation and Induced Matter Theory Semiclassical corrections to the Einstein equation and Induced Matter Theory

2007-05-16

arxiv.org/abs/0705.2289v1

Gen.Rel.Grav.39:1467-1476,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, to appear in GRG

Scientific paper

10.1007/s10714-007-0466-7

The induced Einstein equation on a perturbed brane in the Induced Matter Theory is re-analyzed. We indicate that in a conformally flat background, the local quantum corrections to the Einstein equation can be obtained via the IMT. Using the FRW metric as the 4D gravitational model, we show that the classical fluctuations of the brane may be related to the quantum corrections to the classical Einstein equation. In other words, the induced Einstein equation on the perturbed brane correspond with the semiclassical Einstein equation.

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