Semiclassical corrections to the Einstein equation and Induced Matter Theory
arXiv:0705.2289 · doi:10.1007/s10714-007-0466-7
Abstract
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.
9 pages, to appear in GRG
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Cited by in corpus (5)
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- Quantum mechanics and geodesic deviation in the brane world
- Variation of mass in primordial nucleosynthesis as a test of Induced Matter Brane Gravity
- Probing extra dimensions through cosmological observations of dark energy
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