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Effective Hamiltonian for non-minimally coupled scalar fields

Emine Mese, Nurettin Pirinccioglu, Irfan Acikgoz, Figen Binbay

gr-qcarXiv:gr-qc/0607113

Abstract

Performing a relativistic approximation as the generalization to a curved spacetime of the flat space Klein-Gordon equation, an effective Hamiltonian which includes non-minimial coupling between gravity and scalar field and also quartic self-interaction of scalar field term is obtained.

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