Inflationary Scenario in Spatially Homogeneous Bianchi Type IX Space-time with Flat Potential in General Relativity

AUTHOR AND
AFFILIATION

RAJ BALI1 and LAXMI POONIA2
1CSIR Emeritus Scientist Department of Mathematics, University of Rajasthan, Jaipur-302004 (India)
2Department of Mathematics, ManipalUniversity, Jaipur India

Email of Corresponding Author: balir5@yahoo.co.in

KEYWORDS:

Bianchi Type IX Space-time, Inflationary Scenario, Flat Potential

Issue Date:

December, 2016

Pages:

361-366

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.28 – No.7

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DOI:

http://dx.doi.org/10.22147/jusps-A/280705

ABSTRACT:

Inflationary scenario in spatially homogeneous Bianchi Type IX space-time is investigated. To get the deterministic result, we have considered the potential V(ø) is constant and the scale factor R ~ eHt where H is Hubble constant. We findthat spatial volume (R3) increases exponentially. Thus inflationary scenario exists in Bianchi Type IX space time. The Higgs field decreases slowly. The expansion () is constant, shear () is zero and deceleration parameter (q) = – 1 which indicate that the model represents de-Sitter universe. The model also gives accelerating phase of the universe

Copy the following to cite this Article:

RAJ BALI1 and LAXMI POONIA2, “Inflationary Scenario in Spatially Homogeneous Bianchi Type IX Space-time with Flat Potential in General Relativity”, Journal of Ultra Scientist of Physical Sciences, Volume 28, Issue 7, Page Number 361-366, 2016


Copy the following to cite this URL:

RAJ BALI1 and LAXMI POONIA2, “Inflationary Scenario in Spatially Homogeneous Bianchi Type IX Space-time with Flat Potential in General Relativity”, Journal of Ultra Scientist of Physical Sciences, Volume 28, Issue 7, Page Number 361-366, 2016

Available from: http://www.ultrascientist.org/paper/741/inflationary-scenario-in-spatially-homogeneous-bianchi-type-ix-space-time-with-flat-potential-in-general-relativity


Inflationary scenario in spatially homogeneous Bianchi Type IX space-time is investigated. To get the deterministic result, we have considered the potential V(ø) is constant and the scale factor R ~ eHt where H is Hubble constant. We findthat spatial volume (R3) increases exponentially. Thus inflationary scenario exists in Bianchi Type IX space time. The Higgs field decreases slowly. The expansion () is constant, shear () is zero and deceleration parameter (q) = – 1 which indicate that the model represents de-Sitter universe. The model also gives accelerating phase of the universe