Consequences of Holographic Dark Energy Cosmological Model in Gravity

  • Salim shekh Department of Mathematics, S.P.M. Science and Gilani Arts and Commerce College, India
  • V.R. Chirde Department of Mathematics, G. S. G. Mahavidyalaya, Umarkhed-445206. India
  • S. Raut Department of Mathematics, PLITMS, Buldhana-443001. India
Keywords: Bianchi typespace-time, holographic dark energy, gravity

Abstract

We have investigated the dynamics of spatially homogeneous Bianchi type-I (LRS) space-time filled with two minimally interacting fields-matter and holographic dark energy components with volumetric power laws expansion towards the gravitational field equations for the linear form of gravity. Solving the set of field equation we obtained the exact solution andobserved that the mode of expansion of the model is accelerating throughout the evolution due to destructive assessment of deceleration parameter. Also it has found that the Gauss-Bonnet invariantand the function of Gauss-Bonnet invariant both are not occur for, the equation of state parameter admits the different values for different values of n whichare relevantin the standard range provided by recent theoretical and experimental data along with the model has a Big-Bang type of singularity at singular point.

Author Biography

Salim shekh, Department of Mathematics, S.P.M. Science and Gilani Arts and Commerce College, India
Published
2019-10-21
How to Cite
shekh, S., V.R. Chirde and S. Raut (2019) “Consequences of Holographic Dark Energy Cosmological Model in Gravity”, Contemporary Mathematics, 1(1), pp. 49-57. doi: 10.37256/cm.11201951.49-57.