Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/8811
Title: Investigations on certain cosmological models of general theory of relativity for existence of dark matter in the universe due to variable constants
Researcher: Singh, Amritbir
Guide(s): Mishra, R K
Dhaliwal, Sukhjit Singh
Keywords: Cosmology
Universe
Mathematics
Upload Date: 15-May-2013
University: Punjab Technical University
Completed Date: 2010
Abstract: The main objective of the thesis is to construct and analyse some suitable cosmological models along with numerous cosmological consequences with Dark Matter in the universe on the basis of the field equations governing the gravity as proposed by Berman and Rahman et al. recently. This thesis is divided in ten chapters. In Chapter-1, Theory of Cosmology has been discussed along with cosmology time line, Mathematical discovery of the universe, theory of variable G and variable and#923; with observational constraints. In the last section world-metric and linkage between evolutions scenario of cosmological model and space curvature is given. In 1915, Einstein proposed his General theory of Relativity (GTR) governing the gravity. He applied this theory to study the universe as a whole. For this he determined the space time metric which represents the universe as a whole. This model of universe is well known as Einstein s static model. For the construction of static model of the universe, the original form of the field equation of GTR is not suitable and therefore, Einstein introduced the cosmological term ij g L into his field equation calling it as Biggest blunder of my life . After the Hubble s experiments, a number of cosmological models have been constructed by many cosmologists with and without the cosmological term ij g L by taking positive sign of the cosmological constant (C.C.) or even its non-zero numerical value in general. In the same time those cases where the constant is nonzero, have mathematical interest more rather than the physical meaning. The spontaneous symmetry breaking results in a change in the temperature of the medium. This implies a dependence of the cosmological constant on time as may be seen in many cosmological models (discussed in detail in the thesis). In 1961, Brans and Dicke proposed the possibility of the existence of a long-range scalar field on the basis of the Mach s principle. This lead to propose that the constant of Gravitation G is not a constant
Pagination: xvii, 139p.
URI: http://hdl.handle.net/10603/8811
Appears in Departments:Department of Applied Mathematics

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01_title.pdfAttached File61.09 kBAdobe PDFView/Open
02_declaration.pdf16.45 kBAdobe PDFView/Open
03_abstract.pdf79.93 kBAdobe PDFView/Open
04_acknowledgement.pdf16.48 kBAdobe PDFView/Open
05_contents.pdf119.64 kBAdobe PDFView/Open
06_list of figures.pdf15.24 kBAdobe PDFView/Open
07_list of tables.pdf64.39 kBAdobe PDFView/Open
08_list of publications.pdf52.27 kBAdobe PDFView/Open
09_abbreviations.pdf81.83 kBAdobe PDFView/Open
10_chapter 1.pdf217.89 kBAdobe PDFView/Open
11_chapter 2.pdf243.15 kBAdobe PDFView/Open
12_chapter 3.pdf114.96 kBAdobe PDFView/Open
13_chapter 4.pdf202.05 kBAdobe PDFView/Open
14_chapter 5.pdf204.14 kBAdobe PDFView/Open
15_chapter 6.pdf117.57 kBAdobe PDFView/Open
16_chapter 7.pdf117.6 kBAdobe PDFView/Open
17_chapter 8.pdf549.55 kBAdobe PDFView/Open
18_chapter 9.pdf93.01 kBAdobe PDFView/Open
19_chapter 10.pdf144.5 kBAdobe PDFView/Open
20_bibliography.pdf140.41 kBAdobe PDFView/Open


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