African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Bianchi Type I tilted perfect fluid cosmological model in general relativity

Anita Bagora
  • Anita Bagora
  • Department of Mathematics, Seedling Academy, Jaipur National University, Jaipur-302025, India
  • Google Scholar
Pushpa Bagora
  • Pushpa Bagora
  • Department of Mathematics, Seedling Academy, Jaipur National University, Jaipur-302025, India
  • Google Scholar


  •  Accepted: 10 January 2013
  •  Published: 31 January 2013

Abstract

 

 

In this paper, we have investigated a tilted Bianchi Type I cosmological model filled with dust of perfect fluid in general relativity because tilted dust models are quite homogeneous and expanding. To get a determinate solution, we have assumed a linear relation between shear and expansion, that is, = constant ( is shear tensor and is expansion of the model), which leads to A = (BC)n, where A and B are metric potentials and n is constant. Also, we have assumed that fluid is pressure less, that is, p=0. The physical and geometrical aspects of the model together with singularities in the model are also discussed.

 

Key words: Tilted, dust perfect fluid, Bianchi Type I universe.