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

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 314-320 ◽  
Author(s):  
Muhammet Yazici ◽  
Süleyman Şengül
Keyword(s):  
Gordon Equation ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Initial Value ◽  
Transform Method ◽  
Sitter Spacetime ◽  
Klein Gordon ◽  
Klein Gordon Equation

AbstractWe 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.

scholarly journals AMPLITUDE OF COULOMB SCATTERING FOR CHARGED SCALAR FIELD IN DE SITTER SPACETIME

2010 ◽  
Vol 25 (20) ◽  
pp. 1679-1687 ◽  
Author(s):  
COSMIN CRUCEAN
Keyword(s):  
Scalar Field ◽  
Gordon Equation ◽  
Coulomb Scattering ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Scattering Process ◽  
Charged Scalar ◽  
Sitter Spacetime ◽  
Klein Gordon ◽  
Charged Scalar Field

The scattering of a charged scalar field on Coulomb potential is studied using solutions of the Klein–Gordon equation which have a definite momentum. One obtains that the modulus of momentum is not conserved in the scattering process on de Sitter space.

Analytical and numerical validation for solving the fractional Klein-Gordon equation using the fractional complex transform and variational iteration methods

2016 ◽  
Vol 5 (3) ◽  
Author(s):  
M. M. Khader ◽  
M. Adel
Keyword(s):  
Fractional Derivatives ◽  
Gordon Equation ◽  
Variational Iteration Method ◽  
Transform Method ◽  
Fractional Complex Transform ◽  
Variational Iteration ◽  
Klein Gordon ◽  
Iteration Methods ◽  
Order Four ◽  
Klein Gordon Equation

AbstractIn this paper, we implement the fractional complex transform method to convert the nonlinear fractional Klein-Gordon equation (FKGE) to an ordinary differential equation. We use the variational iteration method (VIM) to solve the resulting ODE. The fractional derivatives are presented in terms of the Caputo sense. Some numerical examples are presented to validate the proposed techniques. Finally, a comparison with the numerical solution using Runge-Kutta of order four is given.

scholarly journals NEW SPHERICAL SCALAR MODES ON THE DE SITTER EXPANDING UNIVERSE

2012 ◽  
Vol 27 (23) ◽  
pp. 1250124 ◽  
Author(s):  
GABRIEL PASCU
Keyword(s):  
Plane Wave ◽  
Time Evolution ◽  
Gordon Equation ◽  
Expanding Universe ◽  
De Sitter ◽  
Coordinate Chart ◽  
Sitter Spacetime ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Wave Modes

New spherical scalar modes on the expanding part of Sitter spacetime, eigenfunctions of a conserved Hamiltonian-like operator are found by solving the Klein–Gordon equation in the appropriate coordinate chart, with the help of a time evolution picture technique specially developed for spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) charts. Transition coefficients are computed between these modes and the rest of the scalar spherical and plane wave modes, either momentum or energy eigenfunctions on the spatially flat FLRW chart.

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