Approximate solutions to the nonlinear Klein-Gordon equation in de Sitter spacetime

Abstract

We consider initial value problems for the nonlinear Klein-Gordon equation in de Sitter spacetime. We use the differential transform method for the solution of the initial value problem. In order to show the accuracy of results for the solutions, we use the variational iteration method with Adomian’s polynomials for the nonlinearity. We show that the methods are effective and useful.

Keywords

• de sitter spacetime
• klein-gordon equation
• differential transform method
• variational iteration method
• adomian’s polynomials
• 02.30.jr
• 02.60.lj
• 02.70.-c