Open AccessNON-CANONICAL TO CANONICAL K-ESSENCE AND ACCELERATED EXPANSION OF THE UNIVERSE
Author(s) -
Somnath Mukherjee
Publication year - 2020
Publication title -
journal of mathematical sciences and computational mathematics
Language(s) - English
Resource type - Journals
eISSN - 2688-8300
pISSN - 2644-3368
DOI - 10.15864/jmscm.2105
Subject(s) - algorithm , physics , lagrangian , mathematical physics , mathematics
The main aim of this paper is to study late time accelerated expansion of the universe with the help of k-essence scalar field. We have chosen non-canonical k-essence lagrangian of the form V ( Φ ) F ( X ), and converted to canonical lagrangian with the help of scaling ralationX F X = C a -3. The obtained lagrangian has two generalised co-ordinate, logarithm of the scale factor (q=ln a ) and scalar field ( Φ ). From the obtained lagrangian we studied two most important cosmological parameter, Equation of state parameter ( ω ≈ –1) and deceleration parameter ( q 0 ≈ –1) which are to some extent consistent with the current observations. Both the parameters indicates an accelerated expansion of the universe driven by negative pressure known as dark energy.