Semiclassical corrections to the Einstein equation and Induced Matter Theory
نویسنده
چکیده
The induced Einstein equation on a perturbed brane in the Induced Matter Theory is reanalyzed. 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. PACS number: 04.50.+h, 04.62.+v, 03.65.Sq.
منابع مشابه
SNUTP-96115 gr-qc/9611040 Problem of Unitarity and Quantum Corrections in Semiclassical Quantum Gravity
Using both the Born-Oppenheimer idea and the de Broglie-Bohm interpretation of wavefunction we represent in a different way the semiclassical quantum gravity from the Wheeler-DeWitt equation in an oscillating regime which can preserve completely the unitary quantum evolution of a matter field at the expense of a nonlinear gravitational field equation, but has the same asymptotic limit as the ot...
متن کاملStability of semiclassical gravity solutions with respect to quantum metric fluctuations
We discuss the stability of semiclassical gravity solutions with respect to small quantum corrections by considering the quantum fluctuations of the metric perturbations around the semiclassical solution. We call the attention to the role played by the symmetrized two-point quantum correlation function for the metric perturbations, which can be naturally decomposed into two separate contributio...
متن کاملProblem of Unitarity and Quantum Corrections in Semiclassical Quantum Gravity
Using the Born-Oppenheimer idea we show that the Wheeler-DeWitt equation in an oscillating regime can also allow a different type of semiclassical quantum gravity that preserves completely the unitary quantum evolution of a matter field, which reduces the same asymptotic limit as the others. We develop a perturbation method to find the quantum corrections of a matter field to the gravity. The s...
متن کاملSemiclassical Corrections to a Static Bose-Einstein Condensate at Zero Temperature
In the mean-field approximation, a trapped Bose-Einstein condensate at zero temperature is described by the Gross-Pitaevskii equation for the condensate, or equivalently, by the hydrodynamic equations for the number density and the current density. These equations receive corrections from quantum field fluctuations around the mean field. We calculate the semiclassical corrections to these equat...
متن کاملar X iv : g r - qc / 9 71 01 37 v 1 3 1 O ct 1 99 7 METRIC FLUCTUATIONS IN SEMICLASSICAL GRAVITY ∗
The Einstein-Langevin equation is a perturbative correction to the semiclassical Ein-stein equation which takes into account the lowest order quantum fluctuations of the matter stress-energy tensor. It predicts classical stochastic fluctuations in the metric field which may describe some of the remnant gravitational fluctuations after the process of environment induced decoherence driving the q...
متن کامل