Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-10-15
Phys.Rev.D82:104046,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, revtex, minor modifications
Scientific paper
10.1103/PhysRevD.82.104046
We introduce the formalism of quantum cosmology in a Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe of arbitrary dimension filled with a perfect fluid with $p=\alpha\rho$ equation of state. First we show that the Schutz formalism, developed in four dimensions, can be extended to a n-dimensional universe. We compute the quantum representant of the scale factor $a(t)$, in the Many-Worlds, as well as, in the de Broglie-Bohm interpretation of quantum mechanics. We show that the singularities, which are still present in the n-dimensional generalization of FLRW universe, are excluded with the introduction of quantum theory. We quantize, via the de Broglie-Bohm interpretation of quantum mechanics, the components of the Riemann curvature tensor in a tetrad basis in a n-dimensional FLRW universe filled with radiation ($p=\frac{1}{n-1}\rho$). We show that the quantized version of the Ricci scalar are perfectly regular for all time $t$. We also study the behavior of the energy density and pressure and show that the ratio $
_L/<\rho>_L$ tends to the classical value $1/(n-1)$ only for $n=4$, showing that $n=4$ is somewhat privileged among the other dimensions. Besides that, as $n\to\infty$, $
_L/<\rho>_L\to 1$.
Letelier Patricio S.
Pitelli João Paulo M.
No associations
LandOfFree
n-Dimensional FLRW Quantum Cosmology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with n-Dimensional FLRW Quantum Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and n-Dimensional FLRW Quantum Cosmology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-203326