2007/05/16 by P. Moyassari, S. Jalalzadeh
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #gr-qc
paper · pdf · doi:10.1007/s10714-007-0466-7
published as Gen.Rel.Grav.39:1467-1476,2007 · 9 pages, to appear in GRG
arxiv created 2007/05/16 · openalex publication_date 2007/06/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.