scholarly journals Mode solutions for a Klein-Gordon field in anti–de Sitter spacetime with dynamical boundary conditions of Wentzell type

2018 ◽  
Vol 97 (8) ◽  
Author(s):  
Claudio Dappiaggi ◽  
Hugo R. C. Ferreira ◽  
Benito A. Juárez-Aubry
Keyword(s):  
Boundary Conditions ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Klein Gordon ◽  
Dynamical Boundary Conditions

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.

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.

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