The scalar wave equation on static de Sitter and anti-de Sitter spaces

Physics

Scientific paper

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Cosmology, Scalars, Space-Time Functions, Wave Equations, Einstein Equations, Gravitation Theory, Quantum Theory, Supergravity

Scientific paper

Exact solutions to the scalar wave equation are given on a de Sitter
(dS) and anti-de Sitter (adS) background with static metric, for
arbitrary dimensions d. In particular, in the case of dS space the
boundary conditions at the horizon are in agreement with the Hawking
effect and the solutions form a complete set of physical modes.

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