Global in time existence of self-interacting scalar field in de Sitter spacetimes |
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| Affiliation: | 1. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700 108, India;2. S. N. Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake, Kolkata 700 098, India |
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| Abstract: | We prove the existence of a global in time solution of the semilinear Klein–Gordon equation in the de Sitter space–time. The coefficients of the equation depend on spatial variables as well, that make results applicable to the space–time with the time slices being Riemannian manifolds. |
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| Keywords: | Klein–Gordon equation de Sitter space–time Global solution |
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