In this paper discussing about the mathematical aspect of variables such as cosmological constant (Λ) and gravitational constant (G) under some suitable assumptions, G(t)=F exp(3Hγt) (where is constant and γ is equation of state parameter), and the cosmological constant. Λ∞t-2 The exact solutions for the field equations and discuss some physical properties of the cosmological model. An expanding universe is found by using a relation between Friedmann equation and an equation of state. The cosmological constant has been involved on several occasions to correct some seemingly real difficulty with the cosmological predictions of standard general relativity. The most notable of these where its initial use by Einstein to produce static universe. The physical situation regarding is unclear. The other cosmological parameters Hubble constant (H), the density parameter (ρ), Gravitational constant (G) etc, may not constant at all. In this work emphasize to investigate these constants vary with time.
| Published in | International Journal of Astrophysics and Space Science (Volume 3, Issue 5) |
| DOI | 10.11648/j.ijass.20150305.12 |
| Page(s) | 74-77 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Friedmann Model, Cosmological Constant, Inflation, Hubble Parameter
| [1] | Novello, M., and Arauju, R. A. (1980). Phys. Rev. D22, 260. |
| [2] | Berman, M. S. (1991). Gen. Rel. Grav.23, 456. |
| [3] | Barrow, J. D. (1988).Nucl.Phys.B310, 743. |
| [4] | Pimentel, L. O. (1987).Astrophysics. Space Sci. 166, 387. |
| [5] | Sistero, M. S. (1991). Gen. Rel. Grav.23, 1265. |
| [6] | Abdel Rahaman, A. M. M. (1990). Gen. Rel. Grav. 22,655. |
| [7] | Maharaj, S. D.m, and Naido, R. (1993).Astrophysics. Space Sci. 208,261. |
| [8] | Klimek, Z. (1976). Nuovo Cimento B35, 249. |
| [9] | Kalligas, D., Wesson, P., and Everitt, C. W. (1992). Gen. Rel. Grav. 24,351. |
| [10] | Beesham,A.(1993)Phys.Rev. D48, 3539. |
| [11] | Islam, J. N.: 2002, An introduction to Mathematical Cosmology, Cambridge Univ. press, Cambridge. |
| [12] | Islam, A .S. M. M.: 2015, “Studies on Friedmann model and Cosmological constant”, M.Phil thesis, Jamal Nazrul Islam Research center for Mathematical sciences, University of Chittagong. |
APA Style
A. S. M. Mohiul Islam, Abul Kalam Azad. (2015). A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ. International Journal of Astrophysics and Space Science, 3(5), 74-77. https://doi.org/10.11648/j.ijass.20150305.12
ACS Style
A. S. M. Mohiul Islam; Abul Kalam Azad. A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ. Int. J. Astrophys. Space Sci. 2015, 3(5), 74-77. doi: 10.11648/j.ijass.20150305.12
AMA Style
A. S. M. Mohiul Islam, Abul Kalam Azad. A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ. Int J Astrophys Space Sci. 2015;3(5):74-77. doi: 10.11648/j.ijass.20150305.12
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ijass.20150305.12,
author = {A. S. M. Mohiul Islam and Abul Kalam Azad},
title = {A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ},
journal = {International Journal of Astrophysics and Space Science},
volume = {3},
number = {5},
pages = {74-77},
doi = {10.11648/j.ijass.20150305.12},
url = {https://doi.org/10.11648/j.ijass.20150305.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20150305.12},
abstract = {In this paper discussing about the mathematical aspect of variables such as cosmological constant (Λ) and gravitational constant (G) under some suitable assumptions, G(t)=F exp(3Hγt) (where is constant and γ is equation of state parameter), and the cosmological constant. Λ∞t-2 The exact solutions for the field equations and discuss some physical properties of the cosmological model. An expanding universe is found by using a relation between Friedmann equation and an equation of state. The cosmological constant has been involved on several occasions to correct some seemingly real difficulty with the cosmological predictions of standard general relativity. The most notable of these where its initial use by Einstein to produce static universe. The physical situation regarding is unclear. The other cosmological parameters Hubble constant (H), the density parameter (ρ), Gravitational constant (G) etc, may not constant at all. In this work emphasize to investigate these constants vary with time.},
year = {2015}
}
TY - JOUR T1 - A Mathematical Aspect of FRW - Cosmological Models Varying t and Λ AU - A. S. M. Mohiul Islam AU - Abul Kalam Azad Y1 - 2015/09/29 PY - 2015 N1 - https://doi.org/10.11648/j.ijass.20150305.12 DO - 10.11648/j.ijass.20150305.12 T2 - International Journal of Astrophysics and Space Science JF - International Journal of Astrophysics and Space Science JO - International Journal of Astrophysics and Space Science SP - 74 EP - 77 PB - Science Publishing Group SN - 2376-7022 UR - https://doi.org/10.11648/j.ijass.20150305.12 AB - In this paper discussing about the mathematical aspect of variables such as cosmological constant (Λ) and gravitational constant (G) under some suitable assumptions, G(t)=F exp(3Hγt) (where is constant and γ is equation of state parameter), and the cosmological constant. Λ∞t-2 The exact solutions for the field equations and discuss some physical properties of the cosmological model. An expanding universe is found by using a relation between Friedmann equation and an equation of state. The cosmological constant has been involved on several occasions to correct some seemingly real difficulty with the cosmological predictions of standard general relativity. The most notable of these where its initial use by Einstein to produce static universe. The physical situation regarding is unclear. The other cosmological parameters Hubble constant (H), the density parameter (ρ), Gravitational constant (G) etc, may not constant at all. In this work emphasize to investigate these constants vary with time. VL - 3 IS - 5 ER -
Email: