Notes on the Quantization of FRW Model in the Presence of a Cosmological Constant and Radiation
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| Format: | Artículo científico |
| Langue: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876488230263586816 |
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| author | G. A. Monerat |
| author_facet | G. A. Monerat |
| contents | Notes on the Quantization of FRW Model in the Presence of a Cosmological Constant and Radiation G. A. Monerat E. V. Corrêa G. Oliveira-Neto L. G. Ferreira Filho N. A. Lemos Física, Astronomía y Matemáticas In the present work, we use the formalism of quantum general relativity in order to quantize a Friedmann-Robertson-Walker model in the presence of a negative cosmological constant and radiation. The model hasspatial sections with positive constant curvature. The wave-function of the model satisfies a Wheeler-DeWittequation, for the scale factor, which has the form of the Schr¨odingers equation for the quartic anharmonicoscillator. We find the eigenvalues and eigenfunctions by using a method first developed by Chhajlany and Malnev.After that, we use the eigenfunctions in order to construct wave-packets for evaluating the time-dependent,expected value of the scale factor. We find that, the expected value of the scale factor oscillates between maximumand minimum values. Since the scale factor never vanishes, we conclude that the model does not have asingularity. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435724 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4B Vol.35 |
| format | Artículo científico |
| id | redalyc_46435724 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Notes on the Quantization of FRW Model in the Presence of a Cosmological Constant and Radiation G. A. Monerat Física, Astronomía y Matemáticas Notes on the Quantization of FRW Model in the Presence of a Cosmological Constant and Radiation G. A. Monerat E. V. Corrêa G. Oliveira-Neto L. G. Ferreira Filho N. A. Lemos Física, Astronomía y Matemáticas In the present work, we use the formalism of quantum general relativity in order to quantize a Friedmann-Robertson-Walker model in the presence of a negative cosmological constant and radiation. The model hasspatial sections with positive constant curvature. The wave-function of the model satisfies a Wheeler-DeWittequation, for the scale factor, which has the form of the Schr¨odingers equation for the quartic anharmonicoscillator. We find the eigenvalues and eigenfunctions by using a method first developed by Chhajlany and Malnev.After that, we use the eigenfunctions in order to construct wave-packets for evaluating the time-dependent,expected value of the scale factor. We find that, the expected value of the scale factor oscillates between maximumand minimum values. Since the scale factor never vanishes, we conclude that the model does not have asingularity. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435724 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4B Vol.35 |
| title | Notes on the Quantization of FRW Model in the Presence of a Cosmological Constant and Radiation |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435724 |