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Kaluza-Klein Type Cosmological Model with Ω–Dependent Cosmological Constant and Big Rip Singularity
Rupali Wanjarirwanjari@gmail.comDepartment Of MathematicsMahatma Jyotiba Phule Educational Campus, Amravati RoadRashtrasant Tukadoji Maharaj Nagpur Universitys:, Nagpur, 440033, IndiaView full profile →
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- Received:
- 25 Jan 2015
- Accepted:
- 05 Mar 2015
- Published Online:
- 02 Jun 2015
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2015.1029330
- Pages:
- 43–50
Abstract
In this paper by using the modified EOS of the form p=– ρ–f(ρ) we investigate the evolution of the scale factor in Kaluza-Klein type cosmological model in which cosmological constant is given by the scalar arisen by the contraction of the scale energy tensor. It is shown that the big rip singularity occurs at finite time t = tundefined by violating null, weak, strong energy condition and satisfying the dominant energy condition for α > 0. For the general case f(ρ) = αρ(undefined), it is observed that for β= 1/2 >0,R(t), p(t) and H(t) → ∞ are reached at a finite time tundefined = 2/bundefined, where b0 is constant. So again take place big rip singularity at a finite time. However, for β < 0, singularity does not occurs at a finite time in the framework of Kaluza-Klein theory of gravitation.
Subject Classifications
: 83F05: Cosmology
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