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General Relativity and Quantum Cosmology

arXiv:0708.3674 (gr-qc)
[Submitted on 27 Aug 2007 (v1), last revised 8 Sep 2008 (this version, v4)]

Title:Power-law expansion cosmology in Schrödinger-type formulation

Authors:Burin Gumjudpai (TPTP Naresuan U.)
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Abstract: We investigate non-linear Schrödinger-type formulation of cosmology of which our cosmological system is a general relativistic FRLW universe containing canonical scalar field under arbitrary potential and a barotropic fluid with arbitrary spatial curvatures. We extend the formulation to include phantom field case and we have found that Schrödinger wave function in this formulation is generally non-normalizable. Assuming power-law expansion, $a \sim t^q$, we obtain scalar field potential as function of time. The corresponding quantities in Schrödinger-type formulation such as Schrödinger total energy, Schrödinger potential and wave function are also presented.
Comments: 9 pages, 5 figures, Revtex 4, accepted by Astroparticle Physics, more Ref. added
Subjects: General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
Cite as: arXiv:0708.3674 [gr-qc]
  (or arXiv:0708.3674v4 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0708.3674
Journal reference: Astropart.Phys.30:186-191,2008
Related DOI: https://doi.org/10.1016/j.astropartphys.2008.09.006

Submission history

From: Burin Gumjudpai [view email]
[v1] Mon, 27 Aug 2007 20:04:18 UTC (987 KB)
[v2] Thu, 18 Oct 2007 20:37:43 UTC (989 KB)
[v3] Fri, 5 Sep 2008 18:16:21 UTC (1,085 KB)
[v4] Mon, 8 Sep 2008 22:16:32 UTC (1,085 KB)
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