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| Paper IPM / P / 13530 |
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| Abstract: | |
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Recently in [1, 2], it was shown that global de Sitter space is unstable even to the massive
particle creation with no self-interactions. In this paper we study the instability by making
use of the coordinate-independent plane wave in de Sitter space, explicitly, we show there is
a mixture of positive and negative solutions at the past infinity. The so-called plane wave
are defined globally in de Sitter space and de Sitter invariance is manifest since such modes
are deduced from the group theoretical point of view by the means of the Casimir operators.
This method could potentially generalize to higher spin consideration and the corresponding
higher-spin wave equations can be obtained in terms of the plane wave. In fact, the underling
symmetry of embedding space namely the 4 + 1 dimensional
at space is used to write the
field equations and the solutions are obtained in terms of the plane wave in embedding space.
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