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- Title
EQUIVALENT SECOND-ORDER GRAVITY THEORY WITH A NONANALYTIC LAGRANGIAN THAT BEHAVES AS A PERFECT FLUID HAVING CHARACTERISTIC DENSITY AND PRESSURE.
- Authors
MAJUMDAR, PRIYADARSHI
- Abstract
We formulate a modified theory of gravity and equivalent second-order gravity theory for a Lagrangian containing R and $\frac{1}{R}$ term in spatially homogeneous and isotropic background. The $\frac{1}{R}$ term in the action can be thought of as equivalent to a source term in Einstein's gravity, which can be assumed to be equivalent with a perfect fluid characterized by density ρ and pressure p. The pressure p is a function of ρ, scale factor a and the curvature parameter R. We present a few analytical solutions of evolution equation for deceleration parameter q as a function of p and ρ.
- Subjects
LAGRANGIAN functions; PRESSURE; GRAVITY; FLUID dynamics; PARAMETER estimation; NUMERICAL solutions to evolution equations; MATHEMATICAL formulas
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2012, Vol 27, Issue 13, p1250074-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X12500741